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Life, Death and Miracles from the Pyramids
A passage that I find useful in unravelling some tangles of typically popular credulity, yet attributed to those who knew much more.
It must be kept in mind that as much as we know about the Egyptian cult of the dead and the afterlife, our culture is not organized to truly understand the meaning and function of the pyramids, intended as portals to a dimension beyond.
If death for our rational corridor can only mean the end of earthly existence, and at most an ill-defined passage to the eternal, in Egyptian initiatory cognition it represented the threshold, a true bridge of otherworldly continuity, a notion for which current science is not prepared, and not even the Catholic religion which only manages to distort it to its own advantage.
The pharaonic tomb therefore translates from an irreversible cemetery concept, at most of a mausoleum, a monumental tomb dedicated as a terminus for illustrious remains, to an advanced instrument for safeguarding and interconnecting the energetic realities of the deceased, bodies alternate with the physical one and relatively more durable, to a parallel level of existence and operation, which is unknown to us.
In the case of the pyramid attributed to Cheops, which instead according to the authoritative clairvoyant Egar Cayce, and others, dates back to more than 10 thousand years, an empty sarcophagus may well represent the opposite of death as the final stage, inviting its location and very special workmanship to be used for ESP experiences.
It is this premise, although here exposed in a rudimentary way, that combines the choice and construction of this Great Pyramid, intended more for the function of a single tomb, assuming and not proven that it was so in its unrepeatable location, with that of an interactive cosmic apparatus with higher order frequency levels.
According to the study inspired to Eng. Mario Pincherle - Dedicated to the Accademia Dei Lincei in 1969 - it was erected as a shell of the Zed, or Djed, primary word and symbol in every Egyptian cult, translated as 'presence', 'stability'; a simulacrum representing an anthropomorphic pillar or a mummified man carrying a sceptre and an ankh cross, symbol of eternal existence, backbone of the god Osiris, otherworldly dispenser of death and rebirth, justice and regeneration, therefore even more than existence in life.
There is certainly no need to resort to the Egyptians to affirm that the spinal column is the seat of the vital fluid; I will simply point out the presence of four levels in slabs or spaces, which evoke the four Elements, surmounted by the fifth as a dome.
If this is the case, the pyramid is absolutely the most suitable means, perhaps the only adequate one I might add indirectly, to safeguard also in this sense, that is, in the silence of a transitory tomb for the necessary passage of millennia, the most sacred tower of Akkadian or Atlantean origin.
… the entity became the supervisor of the excavations, studying the old records and preparing and building the house of records for those of Atlantis, as well as a part of the house for the initiates - - namely the Great Pyramid. (re-translated)
The Ancient Atlantean Record at Gizeh
– www.edgarcayce.it
A device perhaps even capable of disintegrating or dissolving into the ether, once it has completed its task of maintenance until the emergence of a new phase of evolution of and on the planet.
The day will come when the tower will render what has been entrusted to it,
the Pyramid will leap like a ram and then the sad iron age will end.
(it says from the "Book of Enoch")
Although various other pyramids trace certain geometric and mathematical proportions with a common purpose at the time of the Egyptians, it is more than evident that the Great Pyramid is unique, if not far superior, therefore prior and unrepeatable, and that its otherworldly uniqueness, certainly not conceived at the time of Cheops, may have constituted the ideal model of reference and indoctrination for certain practices, advanced yes, but of a more limited horizon.
No other, moreover, can replace it for its geophysical and astronomical location, which corresponds to canons and measurements that were mostly unknown at that time, its orientation and, last but not least, the mystery of its interior, whether interpreted or unexplored, certainly full of challenges that mechanical robots will not be able to reveal.
And who could have ever composed and combined so much perfection, if not most likely the sublime spirit of ENOCH, who lived right in the era described by Edgar Cayce, and the supreme initiator of writing and architecture?
And while we're on the subject, let's talk about eternal life, a concept that should be retracted in many articles.
No person with common sense can think or imagine an eternal life.
Whoever attributes such a belief to the Egyptian initiates offends with his very naivety an elite that at least taught the Greek and Latin philosophers.
First and foremost, because a definition of eternal life after death is a contradiction in terms.
The meaning and etymology of ‘Life’ refer to living, never to after being deceased.
But above all because anyone of average culture can distinguish material life, or incarnation, from its spiritual coexistence, commonly called soul although in a still raw form, science not having the means to be able to classify or recognize it in its reality; whereas the holy church has made it an object of monopoly and commerce for centuries, misleading and subjugating its believers; and therefore a knowledge still reserved to a few endowed with an advanced capacity to contemplate it on their own.
Yet it would be enough to use reason: you don't have to be an occultist to deduce from the very concept of reincarnation the sense of continuity of the true existence, which is not and can never be that of a single life prolonged to infinity.
That one can exit with the astral body from one's physical body in life (then also from the astral one), moving away to unthinkable distances and dimensions by performing actions and experiences, and then reintegrating, should be by now established and an excellent point of reference.
Even more so, a civilization that has given and left such testimonies of interdimensional development that even today we are not able to decipher them in full, had sufficient reason and knowledge to practice and prepare means to support the stages of transition of the entity that animates each single incarnation, towards the status of cosmic spiritual eternity that was due to it both before and after, provided that it had been conferred.
On the other hand, if the very term reincarnation does not provide for just one, it is understandable that translating the post mortem – or any new era – into an abstruse idea of eternal life or resurrection, even if counterbalanced by a poorly concealed sense of superiority, is nothing but a sign of naivety.
It would be enough to ask oneself at what age anyone can die and at what age they would be resurrected to then live it forever…
Abbot Théophile Moreux
To save ourselves from the tumultuous ocean of articles and sentences that are increasingly crowding the web, and instead compare some of the most accredited or eminent historical sources, it will be appropriate to take a step back in time.
We meet the well-known scholar Abbot Théophile Moreux, missionary of scientific dissemination, perhaps the most famous recent reference – probably reincarnated after having lived as Apollonius of Tyana, perhaps he himself whispers it to me, and so I propose it to you – who in his extensive investigation, after having traced the premises, begins on the official π (3.1416) with the following reflections:
The methods used to achieve this result were unknown to classical antiquity;
they are based on entirely modern considerations; yet we will see that this constant sought for so many centuries materializes, so to speak, in the Great Pyramid.
A conclusion as full of emphasis as it is of contradictions, and yet self-illusory as it is based on presumed facts: that is, that modern methods are the right ones, 'and yet' we find the constant already present in the Pyramid of Giza.
A charming complacency in the absurd, for a scientist: the formulation of an irrational number sought for the next 4 thousand years is unknown, but it ‘materializes’ as if by magic in the gigantic stone architecture, the last of the 7 wonders of the globe, placed by longitude at the center of the emerged lands at 30°N and 30°E: in what fortuity should we believe?
but the worst is yet to come: to achieve this miracle, with a low-cost loophole the measurements of the pyramid are adjusted so that they correspond to the squaring of the circle in the perimeter of the base, according to that π which however makes the second conditio sine qua non incompatible: the area of each façade equal to that of the height squared.
Let's add the four sides of the base of the monument, whose original value was
232 m. 805; we will have for the perimeter 931m. 22:
Let it be: 4 x 232.805 = 931.22
Let's now divide the length of this perimeter by 2 times the height of the Pyramid
which was 148 m 208 at the time of its construction, we will find the value of π.
In fact 931.22 / (2 * 148.208) = 3.1416.
Note that this result cannot be a coincidence, because according to the law formulated by Herodotus and which we have cited, the angle of the faces should have been 51°49'; however, this angle is actually 51°51' and it turns out that the ratio between the perimeter or the sum of the 4 sides of the rectangular base and the vertical height is equal to 3.1416 x 2, that is to say the ratio between the circumference of a circle and its radius;
so that this monument, unique in the world, is truly the material consecration of an important value for which the human spirit has made unimaginable efforts.
Where did the producers get this notion from? Always a mystery!
A rather forced coincidence, we will see how later; however a mystery to be exalted, since it evokes the union of vertical and horizontal, abstract and concrete, spirit recognized in the circle, and matter in the square.
It should be noted immediately, however, that if the angle 51°51' - see below - does not correspond to that of 51°49' indicated by Herodotus (and Kepler), this invites some reflections.
Herodotus could report this measurement only if it had been reported to him by someone who knew it exactly, not being able to detect it with his own means.
Given this, and just as the theoretical measurement is correct precisely at 51°49', the only one that will satisfy the authentic Squaring of the Circle and all the rest with the π 3.14460, we can argue that the angle 51°51' was enough to satisfy the tendency to square a circle with a radius~height greater than enough for the π 3.14159. We will see details and confirmations of this later, in the detailed reports of W. M. Flinders Petrie.
The right angle?
Calling it pi (π)’Theory, author Christopher Bartlett states:
The Φ (Kepler) theory gives a theoretical angle of 51°49'38 (51.827"), while the π theory results in an angle of 51°51'14 (51.854"), very close to each other.
The Φ and π theories are in such great contention as the primary design theory because of this close similarity.
Nexus Network Journal – Architecture and Mathematics
The design of The Great Pyramid of Khufu, p.9
An apparent conflict, which arises only from the theory based on an incorrect π.
It will be seen that the method and the theoretical basis of Cole and Petrie's measurements differed, but the results coincided ‘within the permitted limits’ (say like between 3.1416 and 3.1446 ?)
Determination of the Exact Size and Orientation of the Great Pyramid of Giza."
"J. H. Cole, of the Survey of Egypt, carried out a survey of the base of this pyramid in 1925, the exact size, shape and orientation of the original base of the Pyramid on the pavement. The distances were measured with the Base Line Apparatus designed by M. M. Benoit and Guillaume using 24 metre standardized invar wires.
The angles were measured with a 6 inch Troughton and Simms micrometer theodolite.
The method and theoretical basis of the measurements of Cole and Petrie differed,
but the results coincided within the limits of the permissible error."
"Determination of the Exact Size and Orientation of the Great Pyramid of Giza. By J. H. COLE. - Survey of Egypt. SURVEY OF EGYPT PAPER No. 39. Government Press, Cairo, 1925.
The Great Pyramid protractor
angle in degrees and decimal
The graphic goniometer in the PDF naturally confirms the golden ratio, made known by Kepler, while no theory referring to the π could have a good outcome outside the set of proportions already specified between the bases, heights and edges. Although his essay itself reproduces Gantenbrink's work with merit, from that graphic one certainly cannot deduce such a precise angle; and he cannot but cite as a dispute the one between the two theories, which he calls Golden Ratio Theory and the π.
It is now clear to everyone that a height of the pyramid as a radius of a circumference equal to the perimeter of the base, but calculated with π 3.14159, this being less than 3.14460, will have to be greater than that required by the real π.
The greater height will cause the golden ratio of the faces to fail and their area will not be equal to the square of that radius.
To give a better idea for practical evaluation, this is the PDF diagram, technically reliable,
sufficient to visually trace what differences are being argued, to support or demolish a theory in fact.
Finally, there are corners proposed here and there
51º51' 14.3", 51º 50' 39.1", 51º 50' 34.0", 51º 49' 38.3", 51º 40' 16.2", 51º 20' 25", 51°84, 51°51'46", 51°50'40", 51°826, 51°52'…
also as averages of 4 different angles and it is difficult to use the term ‘in reality’.
It would seem rather that such angles serve or are deduced from the priorities of various authors in affirming uncertified measurements.
For the purposes of this presentation, it is of no use to reiterate calculations on the current state of an architecture bearing asymmetries caused by time and impoverished in various ways; without considering that even different and stable temperature conditions, or seasonal or climatic, with the contribution of gravitational and telluric effects upstream of human error, could influence the detection of the base/height ratio in centimeters, of a stony mass such as that of 2,300,000 blocks, even without affecting the energy potential that has been conferred upon it from the beginning, that is:
as it stood in the early ages of the world,
but with the secret of its nature upon it, clothed
complete with its polished casing-stones, bounded on
every side by perfect planes, terminating in a point above,
rising from a duly levelled area of rock-surface below…
“OUR INHERITANCE IN THE GREAT PYRAMID”
BY PROFESSOR C. PIAZZI SMYTH, F.R.SS. L. &E. – 1864
In essence, it is necessary to take into account the geometric apparatus that represents the envelope and the metaphysical intent of the design, not merely technical construction; an aspect that is not only virtual but, for my first perception in its presence, 'still functioning':
It was 1985, maybe '86, and it happened on impulse, on my first privately organized visit, with a few days added on purpose to the classic tourist program. Home! I also remember telling my travelling partner, when we were at the Sphinx, that there was a hidden underground connecting tunnel that connected the inside of the Sphinx with the Great Pyramid…
For now, returning to Moreux:
he attributes the specifications of the measurements
to the celebrated researcher Piazzi Smyth (ASTRONOMER-ROYAL FOR SCOTLAND, not without first stating that:
The original dimensions
were necessarily
altered,
but it is easy to correct them,
as Piazzi Smyth did in 1864.
According to this astronomer,
to whom we owe a first-rate work
on this ancient monument,
the Pyramid of Cheops had a square base measuring 232 m. 805
on each side and a height of 148 m. 208
ibid. page 23
and since the great discovery hinged on the π, the one officially valid, it is not difficult to argue that the calculations had undergone a certain, albeit slight but appetizing influence, given the passion and the stakes.
In fact, the astronomer wanted to be buried under a tombstone with a shape proportionate to the great pyramid.
The PDF shows in the simulation below of a cartouche dedicated to the Supreme revelation of the secrets of the Great Pyramid to the Piazzi Smyth couple, the dominant presence of the π symbol at the vertex of a triangle.
Having believed so much in the magic of this simulacrum, to overwhelm any conviction at a purely scientific level, he aimed not without sagacity at the satisfaction of an otherworldly dimension. He in turn inspired many successors, who worked to put an end to this debate, without however ever being able to provide definitive proof for or against; and we should know the reasons by now.
So much so that Moreux himself does not hesitate to rig the dice: this by
citing the relevant measurements of the astronomer Piazzi Smyth (I reproduce the original) as “232.805m. of the side and height of 148.208m”, applying which one obtains the π familiar to him (Moreux).232,805 / 148,208
He also points out “the fact that architects of the time calculated all dimensions with their units of measurement, inches and cubits.”
In truth, the measurements that Piazzi Smyth reported in ‘feet’ - already published by the author John Taylor in 1859 (as can be read in the figure), for the measurements carried out by the 17th century archaeologist John Greaves and by the French scholars who had examined the Great Pyramid of Giza during Napoleon's Egyptian expedition – differed from those described by Moreux, precisely because they tended to already then unknowingly state the true π, at least down to the thousandths.
there's little missing a meet:
base
height
½base/altezza
Piazzi Smyth – / John Taylor
232,8672
148,1328
π: 3.14403
Gantembrink – Great Triangle
232,9134
148,1352
π: 3.14460
1528 / 486 = 3,144032921810 – in metri: 232,8672 *2 / 148,1328 = 3,1440.
How close was it to being in front of the ideal dimension?
A height of 485.911 (148.1056728), less than 9 hundredths of approximation, in this case 0.00018% leaving the base unchanged!
and since for some reason they were relied on integers, it was natural to round to the nearest number; the same goes for the base leaving an integer value for the height, ideally 1528.278 feet (232.9095672).
Nor was a rough rounding like the one reconstructed by Moreux deemed useful, after that first disappointing verification starting from the fourth number; or perhaps it was thought that it was necessary to limit oneself to whole numbers in order to respect special units of measurement in hypothesis; but whatever they were, they could only submit to the perfect balance of the golden section, which is not expressed through whole numbers (despite the pathetic worldly efforts to make it coincide with the nice Fibonacci series, which the initiated designers had absolutely no need for, and whose numerical progression certainly does not serve to round the figures).
Unable to know or even suppose it, Piazzi Smyth,
despite his passion, truly missed out on the immense joy of discovering what great treasure his beloved pyramid contained: the actual π which in modern times, composed of mechanics and astrophysics, is to be considered a discovery second only to that of fire.
He consoles himself, or justifies in the eyes of the world a wisdom that he cannot inherit (the product of another dimension or pre-existing civilization), by exalting it on the pedestal of primordiality:
To have found, however, only three numbers built
in correct into the primeval building, shows a striking
achievement for that early time;
(see above)
Others instead underline their deep-rooted certainty by saying:
It is therefore given that the equivalency of the area of a circle and a given square is
derived using the value of the square root of Pi (√π)
It should be understood however, that this is a theoretical equivalency since Pi is an Irrational Number and cannot be written as the ratio of two integers. This was proven by Johann H. Lambert in 1761. (22)
Furthermore, it is important to note that Pi (π) is transcendental whereby there is no polynomial with rational coefficients of which Pi is a root.
This was proven by Ferdinand von Lindemann in 1882. (23) The consequence of this is that Pi is not constructible, which is to say that one cannot “construct” a circle equal in area to a square using a compass and straight edge.
Therefore the theoretical equivalence is not constructible.
The allure of the Square Root of Pi for the builders of the Great Pyramid, it appears,
was simply that they reached the limit of the possible.
It is not at all clear why π and Φ cannot be used in the same way; but the point is another: Lindemann only proved that the simulated Pi (π) is almost unusable, except as an ununderstood constant, ie 3.14159.
Moreover, the expression "it appears" is not mathematical, but only literature.
Rather than cling to the saying that π is transcendental, just because it has been approached in a roundabout way, it would be much better to recognize its true nature.
As I see it, numbers are either rational or irrational; ‘transcendent’ is a term that can be attributed only to non-algebraic functions.
Two values are competing for the sceptre, one irrational resulting directly from √5, the other called transcendent, in truth of hybrid origin, different by so little as to make them usable without distinction in many circumstances, and this is what is happening; but also so much so that while the one [3.14460] is strictly connected to the constant 0.7861513777574232860, (of which I have proposed the symbol and the name ‘Platinum’) and as such keeps a reality in perpetual and relativistic vibration standing, the other [3.14159] is not and with 0.7853981 would cause the balance of the world to collapse.
4. The Effect of Direction of Particles There exist some differences between particles receding
and those approaching each other.
At extremely high relativistic speeds,
objects approaching each other have a repelling effect.
When objects approaching each other are at 0,78615 c,
their inertia equals to their gravitational affect.
For particles approaching each other at still faster speeds,
the gravitational effect will have a negative repelling gravitational effect.
As I had introduced on page 28 of my «2x2=3.14» and reiterated later on page squaring-the-circle-with-the-true-pi, but without going too far from the basic theme, it is worthwhile in this context to give a more daring image, based on the very special parameter that is 'c', the speed of light of 299.792.458 meters per second (or presumed to be so).
Maxwell's Equations-(2-of-30)
– Speed of Light –
I wondered in fact if and to what extent the π takes part in the formulas that led to its official calculation; while in the case cited above, the constant could have circumvented the problem, keeping its dependence of ¼ of the golden π 3.14460, unsuspected by the researchers.
The π, generally considered the ratio between a circle and its radius, should be understood as a universal constant independent of any state, which with its 4 quarters maintains equilibrium in circular motion, in gravity as in the 4 phases of wave manifestations.
As for the constant, I will simply point out that by applying to 299792458 the approximate quotient between the values
3.14460 / 3.14159, = 1.0009590…, the speed in a vacuum could approach 300079966; that in pure air (if any still exists on the planet)
oscillates for the generic refractive index
1.0002926 (incidence calculated with the usual π) around 299992188,
and with index 1.000243285 at 50° Celsius (halfway between ice and boiling), at 300006978,
values much closer to the favored, instinctively idealized formulation 3×108 m/s.
It is worth remembering that in the circle of diameter = 1, the area of the inscribed Divine Triangle is √ Φ / φ2 = 0.30028310…, which is like saying area of the circle ÷φ2
By the way, even if it constitutes the maximum speed limit in nature, declaring it the maximum speed at which any information can travel in the universe, whose boundaries we have certainly not crossed, is nothing but a completely terrestrial and untrue presumption).
And since in general relativity it is the "speed of gravity", as also expected for gravitational waves, and in a gravitational field space is curved, here we are faced with the intervention of the golden π.
In the square c2 of that base – component of the fundamental equation E = mc2, Einstein's well-known formula of relativity – with its constant or ¼π cuts out the arc, quarter of a circle or sinusoid, of which each point will be proportionally equidistant from each vertex, ie will be affected by the same attraction/repulsion in a radial manner in constant dynamic equilibrium.
Multiplying the formation by 4, the period of attendance is completed, virtually recomposing the [gravitational] circle of which each vertex is the center, governed by the π. At the moment I could not express this concept sketched with difficulty in a more appropriate way; I only hope that it does not induce me to further advanced research, such as from the π to the golden spirals…
It has been seen that deviations between the measurements of less than a decimeter cause the ratio to slip by 3.1 thousandths, from ,..16 to ,..46; therefore, like the results proposed by Moreux and many others, they are not authoritative. Moreover, in a theoretical challenge like this, an approximation of a few figures, which instead should guarantee the now very famous tail of the π, is anything but to be taken seriously and reliably.
If the validity of a mathematical or geometric formulation is to be demonstrated, at least 5 or 8 decimal places are necessary for precision on paper; this varies of course in relation to whole quantities.
Furthermore, Moreax attributes to the Great Pyramid a height of 148 mt. to which he adds 0.208 instead of 0.1328, to obtain the quotient he desired, which without his addition would have been 3.14403.
From whom and how would he have deduced it, if not to be able to trace it back to the only constant to rely on, which was already the discordant note in the theoretical pyramid concert?
Consecrations aside, it remains one of the few hypotheses to support measures that come within a decimeter of the higher precision measurements obtained in modern times with the Gantenbrink instrumentation; therefore, within certain limits and despite everything, it would validate the best.
Ultimately, his report had the merit of having encouraged me to undertake this further and fascinating verification of the Squaring of the Circle, refining my research on the π in the Great Pyramid precisely because of its hermeneutic symbolic content, which I had not immediately dealt with, even though I had first focused on the most imposing Golden Triangle, which in itself set all the other strings of my thought in vibration.
Among other things, today I wonder how much the robotic exploration itself has been dedicated to corridors and internal volumes, rather than to the overall profile, perhaps reconstructed on the data of the major predecessors; but whatever the primary sources, what has emerged is what matters to the research I have carried out.
Although a smaller approximation of the base side may affect the accuracy of the ratio, I double-checked that even
in my 2003 publication, the reported average values were quite close to the due proportions; although this in-depth analysis would only occur in the years to come.
In fact, a probable average of 230.3683 *4 / (146.515 *2) = 3.1446 was given, although made up of short measures, the most common.
At the time I was unaware of it, and could only refer to official mathematics; while in reality a circle of radius √ Φ × the right π has a perimeter of 8, like the square of side 2 at the base of the pyramid, and not 7.992335 as in my note (3 of that time.
The fact is that no matter how many tricks one may use to square this circle, the whole vast mass of hypotheses, copied and almost never the same, conversions of conversions to make disagreements even on units of measurement and various suppositions coincide, theories all worthy in the absence of certainties, supported by a large series of bibliographical references, they will never achieve the intended purpose, even if they are satisfied with satisfactory correspondences on the basis of a golden section - degraded to an effect, crumbled in the numerical sequence devised by Fibonacci, a series which in itself does not represent any mathematical law - and of π 3.1416, an agreement which is not arithmetically possible, something already widely documented.
A fractional deviation of 3.1‰ in establishing a ratio between base and height is really easy to round off, but the real secret for measuring the pyramid, especially in virtual configuration after thousands of years, lies solely and exclusively in adopting the reference to the Great Golden Triangle which constitutes its geometric and design framework, since it contains π and Φ in absolute and coexisting precision.
To draw conclusions and start from a well-founded conclusion,
if most of the analyses must contrast the descriptions of Herodotus and other ancients with the numerous interpretations and relative units of measurement adopted, it seems very difficult to support pre-established and safe figures.
Since here we are only interested in the measurements connected to the declared Squaring of the Circle, we must start from the two basic concepts that are not at all significant:
In order to realize it, the designers had to know the true π and its mathematical essence, or they would not have associated it with the golden section in this extraordinary monumental synthesis; in my opinion, they would have had no reason to try their hand at a hybrid and disjointed combination for such an undertaking, where a given relationship is perfect and the other is not.
What for our current point of view is dissociated into two opposing theories, for those Wise Men had to be the maximum union and correspondence at every level; and it is not just a question of a 3‰: I have already cited the constant 0.78615 regulating the effects of attraction/repulsion in subatomic motion.
Herodotus, and many others did not know its exact value, especially in antiquity; therefore any numerical reference to ancient statements on the squaring of the circle is to be considered abstract or simply reported, but only at a historical and documentary level, without direct or mathematical knowledge of the facts.
Unfortunately, not even the value of π, reconstructed from modern formulations, is able to satisfy the calculations necessary to validate these theses.
It follows that every attempt to balance the accounts by adapting the measures of the pyramid involves two opposite but equally prohibitive effects:
Allowing skeptics to deny this possibility and geometric fact, an attitude that does not respect the truthfulness of the Squaring of the Circle as a vi[r]t[u]al reality, of which the pyramid is the proof in being, di cui la piramide è la prova in essere.
Seeing the alleged count fail, since reducing the hypothetical measurements to ratios that please the official π can only produce a false result, given that the current π is not precise enough to validate such a comparison, not being compatible with the golden proportions involved.
After all, the author Bartlett himself, and not only him, admits and underlines:
It is hard to believe that with the precision with which the Egyptians built this
massive pyramid that there was not an intention to build it based on some important
specific design.
id. – The design of The Great Pyramid of Khufu, p.13
He is right about this, but will have to take a good part of it back due to the insufficiency of the π, diluting the supposed display "to demonstrate to the future an advanced mathematical knowledge" as transversal with respect to their “other very real spiritual and funereal concerns”.
It seems logical that this perception that pervades everyone from admiration to the inevitable frustration for the lack of a definitive answer, increases the most varied views, substituting the application of numerical ratios that if in intuition they would replace the golden ratio, in reality branch out the thought into many rivulets, disjoined from the imprint of that hieratic triangle that above all contains and represents it, π included.
It is remarkable that the proportions of the Great Pyramid have exerted such a strong and repeated attraction, as to induce many scholars to retrace it with the utmost care, even though they are aware of having to deny it but not without making sense of it, almost as if it were a tribute due to such theoretical genius.
This can be justified by taking into account the fact that they had no alternative to the one-off π established, and probably not even motivations to replace it, if not faced with this bench test which could prove epochal.
Now in fact, starting even just from the Divine Golden Triangle that encloses it, the reasons for discussing it are undeniably exposed in my essay «2x2=3,14» on pages 15,16, implemented extensively on this site during and after having restored order to the world of golden spirals, with proof and a computer demonstration of the error, so that they should induce due attention.
I will then try on this page to re-establish a comparison from the works of accredited researchers, of the designs they have entrusted to history and culture, with such a decisive and fundamental imprint for all the dimensions that involve this pyramid. The first and sensible purpose in the face of too many theories is to show how in reality almost none of the outlined schemes escapes the magnetism of the Great Triangle, despite the inevitable variations and inaccuracies of time, places and calculations.
Personally, in 2002 I had the good fortune to come across the measurements of the Great Pyramid provided by the surveys carried out by the UPUAUT project, documented by precise AUTOCAD diagrams, from which I was able to extract millimetric measurements that were more reliable, a posteriori, than any available drawing; at that time they were sufficient to lead me to the discovery of that Divine Triangle, which I did not hesitate to propose as the Third Treasure of Geometry, revealed to my perception as the most sumptuous mystery of all geometry, sacred and profane..
Although I have already published them in PDF format since the first report in 2003, I reproduce a screenshot taken from the most recent and complete illustrative video «Every CAD drawing of Cheops Pyramid from www.cheops.org», clickable to check it in a PDF of 8937px × 7689px, on the profile of which I superimpose simple measurement data and two graphs: a protractor centered at the left vertex of the base, and in gold hatching the Great Golden Triangle with its four golden circles.
triangle hatching —: 370,853 mm |: 235,866 mm, ratio ÷ 0,786151
[370,853 / 235,866 * 2 = 3,144607531]
The construction rests on a square base, with sides oriented to the cardinal points, as to the four essential Elements of material existence, already indicated on the previous page.
The pyramidal structure connects each side of the basic square to a single vertex, giving rise to a triangular face, which may or may not be there as a full surface, i.e. whose main function is to combine the four fundamental Essences into one: the Quintessence, ‘quinta essentia’ (in Greek pémpton stoichêion) to name the ether which in reality radiates the manifestations, vivifying them.
It is crucial to understand this passage from the number 4 to the number 5 (or vice versa), since geometrically the circumference with center at the vertex and radius up to the base is transmuted, so to speak, transfiguring itself into the base perimeter, of which it is the 'root' by virtue of the golden ratio between their bodies, which we have seen to be: √ Φ on base Φ.
It is in the study carried out on the fifth level golden spiral that I had already highlighted how the number 5 is the determining radical in any formulation of the Golden Section, of which I repeat only a brief indicative passage:
√ [0.05 + 0.05 + 0.05 + 0.05 + 0.05] + 0.5 + 0.5 = 1.118,
in short √ 0.52 × 5 on a base 1,
which ± 0.5 leads to both 0.618 and 1.618, which multiplied together make 1.
A breakdown to the minimum terms that could be considered banal, if it did not make it clear how:
The Golden Section is a "mystery" governed by the number 5, which can fully represent it in its essential form and notation!
And as I was able to represent in my hypothesis of spiral and anti-spiral, the Vortex can be traced back to the Φ, a whirlwind that forcefully gathers, feeds, destroys! All the word "pyramid" needed was to be translated as "fire in the middle."
A simple screw can give an idea of its penetrating capacity, but to imagine its power, thinking of a cyclone might not be enough.
In this experimental photo based on a Tesla coil, taken in 1979 with a Kirlian camera, you can notice the movement of the vertical energy flow in a double helix, which also brings the thought back to DNA.
The Squaring of the Circle is not only a geometric need but an instinctive, or rather esoteric, need, translated for centuries into the alchemical search for the Philosopher's Stone, lapis philosophorum, secret conversion factor between the creature and its vital source; about which you can read the most learned nonsense on the web, as always from those who feel obliged to label what they do not know or understand - let it be said to warn those who are not prepared.
By the way, the Energy is not the origin, but is a manifestation of the Supreme CONSCIOUSNESS.
This is taught by the superior dictate of the CRISTO with those defined by LUI as 9 LETTERES, historical and cognitive documents that at the very least we should call LETIONS, which I have had the privilege of re-editing to the state of the art, as well as illustrating passages of them in a refined gallery of 800 Tweets.
8.10 Science presents the universe
as being matter possessing consciousness
but the truth is:
8.10.1 The universe is CONSCIOUSNESS which has taken on
the appearance of matter as a result of a descent into
the lower frequencies of vibration of consciousness.
This is the true reality of existence - nothing else.
Squaring the Circle is a miracle and a vehicle of the Motivating Force, the Prime Mover of Existence that induces particles to the density and form[ation] of elements and governs their motion.
The mathematical and geometric realization, Intelligences of Creation, Φ, is concretized [meta]physically speaking all here: configured and applied in a functional way in the pyramidal structure that has been given to us.
In light of these premises, it is much more difficult to ascertain what the task assigned to the Great Pyramid was, than its certain and virtual measurements. There is an almost global disagreement on both postulates; but if there is a given relationship that emerges unassailable and eloquent, here it is in the Divine Golden Triangle.
The first critical and determining aspect, so to speak, which led me here, is the fact that one of its oblique sides ×4 is equivalent to the circumference that circumscribes it, dulcis in fundoit is the seed of the π; for me the constant , Platinum.
I have already illustrated several times how within the circle of diameter=1 the perimeter of its base:
0.97173654351329135636572775178908 multiplied by × 4 sides, is
= 3,8869461740531654254629110071563
and equals its height, which is the radius of the circle to be squared
0.61803398874989484820458683436564 × 2 multiplied
× 3,1446055110296931442782342932803 = 3,8869461740531654254629108214067
perfect up to the 23rd decimal place, justifying the calculation limits imposed by the computer. Can we ask for more, or refuse such evidence?
It is the only possible and real Squaring of the Circle, as real and reliable as π 3.14460.
None of this or anything else can be emulated by π 3.1416, and the architecture of the pyramid is evidence of this, I should add, unfailing.
Since without it, the recognition of the true π would not have been achieved.
repetita iuvant
Why pyramid?
asking and answering this question could be the first step to grasp its resonance, not only architectural; it is not this in fact that captivates the world in its unbearable silence that makes everyone talk, since there is no shortage of buildings surprising for their beauty and original extraordinaryness.
What will be its ‘extra gear’ today, when we no longer see it shining in the sun like a star?
Let’s retrace its surface character.
Our pyramid is directional, has a base and apex, or vice versa high and low, vertical and horizontal. It therefore obeys a gravitational field.
Let us observe the Tetrahedron, on the other hand, which although itself a regular pyramid is the opposite example: it is a pivot of life, of the zodiac symbiosis and of DNA, but unlike the great pyramid it has neither head nor tail, almost like a sphere; it can be observed from any side or placed on any face as a base, without any dynamic difference.
To penetrate the reason that leads to the almost universal choice of the regular pyramid shape with a square base as a functional apparatus, that fundamental statement is at the forefront.
The area of a square having as a side the height of the pyramid was equivalent to the area of each original face, that is to say the height of the pyramid was the hinge of the surface of each face, a vertical correspondence that strengthens the symbiosis of the 4 sides with the vortex mentioned above, which I will revisit later with fewer numbers and more descriptions, related to the π:
in our circle in fact it deals with
√√ Φ×Φ ×√ Φ = Φ that is, the square root of:
(0,48586827175664567818286387589454 [½ base]
× 0,78615137775742328606955857332008) [height]
= 0,3819660112501051517954131595499 [Φ²]
In this way the base perimeter is equivalent to the circumference with radius equal to the height √ Φ ×Φ ×8 = Φ ×2 ×π from which π results as the ratio between perimeter and diameter
π = (√ Φ ×Φ ×8) ÷ (Φ ×2) = √ Φ ×4 equal to 3,1446055110296931442782342932802.
While we are at it, we can also verify that the area of the same circle is equivalent to the area of the rectangle with height equal to its diameter and base equal to the pyramidal section; a solemn integration of Kepler's triangle, given that from each of its sides we can calculate the area of the circle with the same radius.
With the right π, in the numerical case adopted above, simplifying the geometric calculation to a quarter of the two areas, we can in fact play it like this:
and anyway, in homage to the geometric view which can be much more explicit than arithmetic, Φ2 seen as a side of the square in blue shading, generates a square whose area will be cut out at 0.78615% by the arc of a circle which has its side as its radius.
To translate it into full numbers:
Rettangolo:
0.971736 × 2 × 0.618034
= 1.20113242400
Circle:
3.14460 × 0.6180342
= 1.20113242400
By clicking on the figure you can even see the perfect intersection of the circle of diameter = 1 (which circumscribes the triangle) together with that of the blue circle (of radius Φ), with the side of the rectangle.
Of course with π = 3.14159 even this correspondence of areas and perimeters would not be found.
All this can only reinforce how the area of the circle to be squared is connected to the triangle, positive catalyst, by the number 4,
since if that rectangle which is equivalent to a quadrant of the circle is cut diagonally by one side of the triangle, its left half corresponding to the other half of the same, clearly indicates that
every quadrant or ¼ circle is equal to the area of a Golden Triangle having as its height the radius (R and base R ××2). This is demonstrated even better, if it were nothing more than a whim, by applying the same diagonal cut to the double-height rectangle, and completing the figure on the right side to highlight the multiplication of four equal golden triangles.
On the side, a distribution of the four could not be missed, circular and symmetrical on the circle, since they highlight how the double-hatched green square, whose sides cross the intersections of the circle with all 4 triangles, is exactly the one that squares the circle itself.
It follows that the segment joining the two intersections of the blue circle with the sides of the triangle, extended to the perpendiculars to the two ends of the base, is the side of that square centered in the equivalent circle.
One last minor curiosity – the red one which has the same area, rotated until the vertices coincide with the bases of the triangles, also touches the vertices of the perimeter green intersecting the rectangle with them. The 4 profiles should not be confused with the faces of the pyramid.
If bu luck the first statement does not use π, leaving the burden of absolute correspondence to Φ and this allows us to ascertain the exact value of π from the equality between the circumference with radius, height of the pyramid and its base perimeter – the absolute relationship between the four faces and the function of squaring or quartering the circle is maintained, from the moment in which for each triangle inclined towards the apex, the ratio between ½base ÷ its height is Φ, and therefore the square of the constant ratio that we will see, between ½base ÷ height of the pyramid.
This inverse relationship means that if in our pyramid profile inscribed in a circle with diameter = 1 and circumference = π, the height of the pyramid is Φ, the height of the faces is √ Φ, that's to say 0.78615, which ideally configures four rays that make up the π, departing from the vertex to frame and distribute its effect up to the four cardinal directions, or cyclical phases mentioned several times in my articles, to which the base of the solid construction is oriented.
The same four rays that delimit the section profile two by two on the North-South and East-West axes
In other words, it is the same ½base that starting from the center of the square of the base, in the pyramid profile relates to 0.78615¼π on the oblique side, while starting from each of its corners in the 4 faces it relates to 0.78615¼π as their height!
This is valid for any type of square-based pyramid, but in this one the dominant ones are the π and that exchange of values for which if in the section of the pyramid Φ is the height, in each face ½base ÷ height is Φ.
In short, or should I say in sum, π and Φ they are modalized in the four facades that at the vertex (energy) join the hinges of the slowed mass, in ideal balance for each side or phase of the construction.
Does it make sense to imagine something casual in all this unrepeatable perfection?
The above example means that any ratio between the height and ½ base side of the pyramid, [ for us:
0,61803398874989484820458681467588
÷
0,48586827175664567818286387589454 ]
that is actually divergent from the √ Φ, say
1.2720196495140,
due to the variation of the height or the side, will not allow the equality of circumference and perimeter; which in fact inevitably occurs with the π = 3.1416 even respecting the aforementioned ratio for the areas.
I know I'm just repeating myself, but it will serve to highlight that in some respects it is the numbers that decide… even the meanings.
THE CUT OF THE GEM
If in the case of the circle of unit diameter everything is immediate, since the constant is the very measure of the sides, on the open ground, in short, two axioms define the cut of this precious 'stone', in the perspective of simple proportions, but at the same time of in-depth ponderation:
The area of the triangular faces as height squared, when the ratio ½base ÷ height of the pyramid is the constant 0.78615 (√ Φ).
Note that this ratio ‘½base ÷ height of the triangles of the faces’ is Φ, that is the above ratio squared. The area of each face erected on half the base gives rise to a golden rectangle; so the equality of the areas can be reduced to the formula:
½base2 × φ = height2
The equality of the base perimeter and circumference with radius the height, which reduces to:
base × 2 = height × π | from which we obtain in all its splendor: |
π = base × 2 ÷ height,
Only if this double relationship between the measures of the pyramid is respected, we have access to the true effect of the π; since the pivot-column of the combination, like a gravitational spindle that guarantees the π in its function, is the height of the pyramid as the radius of the maximum circle and side of the squares that virtually intersect and identify with each façade; imagine the hinge of a revolving door with 4 square leaves.
The real keystone and still the first secret to be understood does not reside only in an architectural fact, and it is so rich and powerful as to make the emotion in retracing it like a flow of current.
Measurements can also be attributed to the construction such that the base perimeter corresponds to the circumference having radius its height, the hypotheses of measures are many to trample on each other but without anything that is demonstrable; no real relationship with the golden section, and all this wonder falls to pieces. What I have found from Gantenbrink's CAD, and from further prospects speaks too clearly to be ignored.
This scheme taken from the Upuaut, which we can consider the most indicative, is accompanied by various profiles which, although differing from each other by a few units or fractions - apart from the arrangement of the known or unknown internal spaces, of which I would not exclude further connections, but which do not concern the present discussion - gravitate around the magic triangle, confirming it sufficiently, even without having grasped its fundamental geometric importance and that is, its essence, an immutable truth that no one had yet before their eyes.
The more I try to focus my work on the most certified data available, the more I see the tide of articles increasing, committed to defining and redefining every stone, every crevice and inclination, submerged by a catalogue of measurements of which I can only observe the descriptive curiosity, since they overlook the most certain and essential factor, sometimes climbing up the mirrors to endorse one or another mystery.
Studies and graphs are developed based on the studies of others, schemes upon schemes, with the most disparate theories, in search of something new to reveal, but always bypassing the most important real data.
The measures are discordant, or there would be no need for such a flow; but whether the series 232/148 or 230/146 is more realistic, what I have tried to explain will retain only one meaning:
the necessary Golden Proportion between the components is the first virtual key to understanding the Pyramid of Giza, its construction and the intent held within it.
Not being able to solve this is like chasing more or less tortuous paths, but always blindly, for a puzzle without a solution; so much wasted effort.
I will reproduce some of the most reliable classical schemes, with a graphic comparison of the golden triangle in superposition, to facilitate the visual evaluation of how little is needed to make them almost equal and at the same time all different, leaving each single theory as if on a raft at the mercy of the waves.
Also to verify how many more worthy authors have conformed to the actual ratio, the only one that responds to all the requirements with impeccable accuracy.
So much so as to make the Great Pyramid of Giza a true
treasure chest of the Golden Section and the π which is its root,
Whatever one thinks about it, the canons that I have proposed are those that guarantee a prototype of a perfect pyramid in all the senses examined and described by history, even for those who do not consider them applied to the pyramid of Giza.
Which could also be older than 10,000 years, and have lost part of its mass, however maintaining in evidence the proportions likely guaranteed by its own energetic and gravitational field.
The measurements of the Divine Triangle, multiplied by any modular unit respecting its ratio, are therefore those to be adopted for the construction of scale models, with or without solid facades, provided they are correctly oriented.
However, in my opinion, a more exciting consideration exists, and it is the one introduced on the previous page, which invites you to experience its effects on well-being by practicing the 5 so-called Tibetan Rites, a true Squaring of the Circle in your multidimensional body.
It might also help us understand the Great Pyramid in a new way,
Anyone who had the privilege of staying even for twenty minutes inside the king's chamber, in the heart of the pyramid, should have experienced upon exiting the unexpected sensation of suddenly finding oneself in a sort of disappointing and imperceptibly nostalgic emptiness; only to then return to normality shortly after, but retaining an indelible memory of it over time.
An inverse effect of the energy field in which he found himself, and which instead he probably will not remember, not having had immediate awareness of it, all the more out of breath after having climbed that corridor to be able to reach it.
Can we perhaps glimpse in the π the essence of the prime mover?
It is for sure the center of every circle, or sphere, and as such guarantees the balance of any gravitational field.
The vision described so far places it at the top of the pyramid, the center of the circle that will become square at the base; and the value 3.14460 supports this assumption, although the cognitive sources have been lost.
As for these sources, the much-quoted Herodotus would not seem so reliable, if he declares that side and height measure equally 800 feet:
“Its base is square, each side eight hundred feet long,
and its height is the same”
Herodotus Histories 2.124-125, translation by A.D. Godley
One can only assume, given the apparent paradox, that hasty re-translations, or the damage of original documents, have altered the descriptive meaning of a height equal to the radius of a circle's base.
11 The story of the daughter of Cheops is on par with that of the daughter of Rhampsinitus;
and we may be certain that Herodotus never received it from the "priests,"
whose language he did not understand, but from some of the Greek "interpreters,"
by whom he was so often mislead.
Notes (By Sir Henry Rawlinson) – Extract from Herodotus - c, 430 BC. 'The Histories', Vol II: 124.
I'm also leaving out:
"A Letter from Alexandria on the Evidence of the Practical Application of the Quadrature of the Circle, In the Configuration of the Great Pyramids of Gizeh","authors":"H. Agnew","pub_date":"1838", not so much because the Author used a sextant made by his own hand, certainly admirable,
My instrument was a sextant of 2t feet radius, made of well-seasoned wood, and accurately adjusted with proper sights, and a plummet suspended by a fine silk thread from the centre. It was mounted on a frame of convenient height, and the whole apparatus was solid and heavy. With this instrument I could measure angles of altitude with great convenience
but because even his tables and hypotheses all based on the current π are flawed at the root and therefore useless. In the liight of the above statements and their non-approximate solution, everything else is nothing but a superfluous debate.
Some historical overview
However, I propose to browse through some cases, among the vast range of images and project schemes distributed everywhere, verifying how much the base÷height ratio of the current measurements deviates from the key constant 0.78615, ie √ Φ.
In the publication of the study on the geometry of the pyramid by Christopher Bartlett, of which I will omit the more subjective propositions, 21 measurements of the pyramid are listed, carried out from 1840 to 2012, of which only the first (Howard Vyse) is 232.8 × 148.2 (I use this notation of side base × height); for the most part the others, although different by minor fractions, are around 230.3 × 146.7, probably referring to the current measurements of the monument, stripped of its important casing.
The difficulty in measurement results from the Arab destruction of nearly
the whole of the fine sloping blocks of casing, about 3 feet thick (0,9144 mt,),
thus leaving the inner core of masonry in steps…
https://www,nature,com/articles/116942a0
To tell the truth, less than 2 meters of difference do not seem to cover more than half of the gap that appears in the various diagrams, between the virtual perimeter complete with casing and that of only core of masonry in steps, but I do not take this into account,
having noticed some differences, where the external triangular profile is the only reference goal for the decisive calculations.
I've already mentioned Piazzi Smyth and John Taylor.
In 1865, Piazzi Smyth made the first largely accurate survey of the Great Pyramid, which he published in several books and articles. Piazzi Smyth obtained official permission to carry out this work from the viceroy of Egypt, Ismail Pasha, and received assistance from the Egyptian Antiquities Service and the governor of Giza.
These permissions are described in his publications, including his 1867 book.
1867 – Life and Work at the Great Pyramid (vol, 1, pp, ix, 4-8, 29-30).
His two-time measurements at 232.8672 × 148.1328 match our π until the thousandth, as is 3.1440.
The red dotted profiles superimposed on the images are all the same Great Golden Triangle and show very well the almost absolute correspondence of the construction, leaving those small decimal deviations to fight with the moments and the survey instruments. What I try to reiterate is that more or less all the declared measurements – unless they are very far from the ideal ratio, and some, especially the more modern ones, are not lacking – contribute to delineating the basic profile with differences that together with the effects of external agents, can be considered occasional fractional approximations with respect to the overall mass. Among the many authors, I would compare some more dedicated to research than to narrative.
Year
Source
Side
Height
side /2 /height
π (sd *2 *hg)
1840
Howard Vyse
232,8
148,2
0,7854251012
3,141700405
1865
Piazzi Smyth, John Taylor
232,8672
148,1328
0,7860075
3,14403
1883
Flinders Petrie
230,348
146,71
0,7850453275
3,14018131
1925
J, H, Cole
230,363
146,731
0,7849840
3,139936346
1971
Livio Stecchini
230,363
146,512
0,7861574479
3.144629791
Doctor Stecchini, who in the February issue of ABS has related the original alphabet with a previous divinatory numerical system, summarizes here the results of the research on the origin of the measurements. The world's measurement systems probably have a common root in ancient Mesopotamia.
In some cultures they had a religious aura; in Greece they gave rise to the dispute between Protagoras, according to whom “man is the measure of all things,” and Plato, according to whom “God is the measure of all things.”
In the modern world, many theoretical misunderstandings arise because
scientists and humanists have forgotten the true nature of measure.
Herz-Fischler presents a variety of charts on these relationships for the observed and measured quantities found within each theory. Fortunately for the reader,
decimal places are only taken out to the thousandths place.
NEXUS NETWORK JOURNAL - VOL, 3, NO 2, 2001 197
It would be fun to point this out to Pi Day enthusiasts!
2001
John F. Pile (no inspection)
230,356
146,649
0,7853991504
3.141596601
If any other researchers did not disdain some artifice in order to see a legend fulfilled, they did nothing but make a hole in the water.
We see in fact that John F. Pile, photographer and interior design expert is the only one to achieve the optimal result 3.141596601; he produced it at the table, with: “no inspection” and perhaps even proposing to endorse the theory of π!; and it was practically copied
by Farid Atiya up to the 9th decimal place…
Its total average that from 230,478 /146,726 *2 leads to a π of 3,14161, can only affirm assorted ad hoc measures, including duplicates and excluding other cases, perhaps still with the intent to privilege the theory of π, despite the frustrating evidence that such a value cannot satisfy both basic postulates being in disagreement with the golden section; and it is really not the case to console oneself with the first three decimals.
If it makes little sense for the present research to calculate the average of the lengths of the 4 sides, it makes even less sense to calculate the average of the lengths attributed by various authors over the decades. Even more so if they are reworked by worthy writers on the basis of the few official ones, in order to publish and sell one of their book.
Rest assured that the Great Pyramid is a finished, perfect cosmic device still full of secrets, to which the creativity of researchers will neither add nor take away anything, whatever their point of view.
As for those inevitable desecrators who like to boast of sarcasm, they do not deserve too much attention; sometimes the court jesters were allowed to mock even the kings.
After all, if it can be difficult to argue on the basis of certain notions, it is even more difficult to attempt it on notions that one does not have. Only the environment and the human rage over the centuries have removed from sight those measures that can never be recovered in solid; but they have not prevented it from transmitting to us the most important messages, first of all the access to the Divine Triangle and from this to the true π.
Although two of the earliest and most accredited explorers of the Great Pyramid came less close than others, for the 1925 measurements Petrie reports better:
That of King Sneferu at Meydum immediately preceded the Great Pyramid,
and was planned on a similar system of measures.
Both have the proportion resulting from the height being the radius of a circle
equal to the circuit of the base, the angles found being
By π theory
51° 51' 14" ·3
Khufu's pyramid
51° 50' 40"
±1' 5"
Sneferu's pyramid
51° 52'
±2' ?
The dimensions found are:
Khufu's,
height
7,
circuit
44, x 40 cubits.
di Snefru
''
7,
''
44, x 25 cubiti.
December 26,1925 – NATURE – Petrie Surveys_116942a0.pdf
Even if we limit ourselves to very spartan figures,
from 3.1402 here we are at 44 ÷7 ×2 = 3.1429!
In 1883 it must have been even more complicated, either by protractor and level, or by stop angle or steel square, but always by eye and cross;
24. To obtain the original height of the Pyramid, we must depend on the observations of its angle.
THE PYRAMIDS AND TEMPLES OF GIZEH. BY W. M. FLINDERS PETRIE, LONDON [1883]
I put this passage in clear view which highlights compromises and uncertainties, so that what is important is to take note that measurements have always been the object of deductive calculations, relating them rather than to thousandths, to a continuously variable status quo for the estimated angle, to which he himself will add in 1925 a ±1' 5"; all volatile arguments with respect to a basic theoretical framework.
Measurements however destined to crystallize as fixed and certified data, to which all those who consider them the only reliable ones refer, but which are only indicative.
Among the most historic and reputed therefore, from which many have drawn to offer them to the public:
Of course, there is no shortage of those who have developed their own - apart from the not insignificant problem of converting the cubits, which leads Petrie himself to give up on finding them destined for a "mass of theories, which extend from good reason into a morass of impossibilities,"; and given that
he expressed himself in this way in 1925 in “Surveys of the Great Pyramid”
quoting J.H. Cole, we can also imagine his comment if he had come across the Web a century later!
Although all traces of the original project have been lost, the vestiges periodically retraced with different approximations cannot but lead back to that dominant construct which is the imperative Golden Triangle, the matrix and soul of the construction.
There is no escaping its presence and its mathematical priorities, to which this work of mine is directed, having been its beginning and now its goal.
The following update, more or less interesting in this context, for its reference to planetary orbits, from «Planetary Correlation of the Giza Pyramids», although not far from my research for the astroseismic discipline that I started in 2011, given the care taken in the technical-graphic format, it offers me an additional opportunity to verify the correspondence of the pyramid profile to the Golden Triangle, superimposed in yellow.
From W. M. F. Petrie 1965 and Today, in the year 2014
Cross section of the original state of the Great Pyramid with details of the "Mars position" and its environment (upper inset) during the astronomical events in the year 3088 AD. The levels of the courses were measured by W. M. F. Petrie [6, Map VIII]. The shape of the blocks of stone around the opening of the southern air shaft is taken from a drawing of Maragioglio and Rinaldi [9, part IV, map 2, Fig. 2]. This drawing, where we find also the numbers of the courses, was published in 1965. Today, in the year 2014 some more blocks have been removed around the mouth of the air shaft. So, the reader can compare the state of 1965 with the situation at present.
While a proportional reduction in profile might fit the due ratios, I will not dwell on current pyramid proposals that do not support the presence of the π; nor could they demonstrate an effective squaring on the basis of different measurements from one side to the other, from one period to the next, or the resulting average.
The ratio between the
measurements of Howard Vyse in 1840 with a single decimal (0.785425), would seem to deviate from the constant 0.78615 with a deviation of -0.000726, such a difference from that of Stecchini (1971) and Verner (1998) much closer to the truth π would be significant enough to invalidate the thesis, even if for differences of only centimeters.
Observing the image in full screen, a careful eye will be able to notice that the [black] base of the triangle tends to imperceptibly recede with respect to the overlapping red sides. This denotes extreme accuracy in the drawing, which although approximate confirms very well the division base÷height with a quotient slightly less than 0.78615.
I find it very interesting, however, that
Vyse has been accused by some people of having forged the Khufu cartouche, most notably by Zecharia Sitchin. In his book The Stairway to Heaven, Sitchin accuses Vyse (and his assistants Mr. Hill and Mr. Perring) of perpetrating the forgery because of Vyse's "determination to obtain a major find as time and money were running out".[13] However, the forgery claim is given no credence by historians and Egyptologists such as Selim Hassan,[14] Zahi Hawass,[12] Jaromir Malek,[15][16] Professor Rosalie David[17] or Bill Manley, or major museums such as the British Museum[18] and the Egyptian Museum,[19] all of whom accept that Khufu was the builder of the pyramid and by implication that Vyse's cartouche is authentic.
and this is because none of the guarantors is able to demonstrate that Cheops was the builder of the pyramid, from Zahi Hawass to the various museums around the world, which can only 'accept it' but not ascertain; whereas sources and motivations worthy of attention date its construction to several millennia before, setting a threshold beyond which none of the said list could successfully venture.
In 2014, however, this kind of concordat had to be reset, the adventurous discovery of two archaeology students from the University of Dresden, having been able to ascertain in the laboratory that the pigment used for the cartouche – a sample of which was stolen – is recent and was applied to the original blocks only with a subsequent intervention on the plaster.
Nevertheless, the base and height measurements according to H. Vyse seem to be the only ones that take into account the complete dimensions of the pyramidal structure and are therefore close to those of the Upuaut instrumental CAD; although it must be taken into account that any external profile attributed to the structure today is only a deduction, which may not repeat with total precision the dimensions of the base - and of which base, if they are all different? - given the sides increasingly deprived of their casing.
If I remember correctly, way back in 2002 I directly converted the measurements obtained from Gantembrunk's CAD from decimetres to pixels, and since then I have been using them in the same format, meditating on which I derived the first four golden circles and which I stick to for this as the only matrix, although aware that a total correspondence to the current stones would not be realistic, but only theoretical.
It remains obvious that π it is not the result of an arithmetic average, but it is irreplaceable perfection, and as such must be integrated into the project plan.
We must start from the assumption that the solution to the geometric mysteries of the pyramid does not lie in the units of measurement, even if these offer a priority to certain experts, but in the true π and, if anything, in the way in which these reproduced it; which involves first of all knowing its true value.
The disconcerting side of the whole issue is the insistence on praising an 'extremely accurate' precision, so close to ideal calculations by the ancients, instead of realizing and admitting that our calculations are the result of a geometric compromise for the incomprehensible π, while they, whoever they were, have set out it exactly, with colossal and incomparable magnificence (and appealing to chance would make us sink ever deeper into backward reticence) since they have served it to us on a silver platter of 5.75 million tons, or rather of a Gold that for at least a century we have not been able to acquire, due to mere academic conditioning; and in the background egyptological.
It would be enough to suspect for a moment that the π bestowed by the proportions of the Great Pyramid right from its section profile is the right one – and there is no real reason that prevents it – to fully realize the actual splendid masterpiece that adorned the earthly soil in its luminous adamantine guise.
Once this has been officially acknowledged and recognized as erroneous beyond any doubt, all calculations applied to the pyramid and in general referred to the inaccurate π, as well as the related planetary and astronomical theories, will have to be revised and upgraded. It will not be painless, no growth process is, but it will certainly be a harbinger of greater satisfaction and exhilarating conquests.
It is recognized that Egyptian hieroglyphics were written on three cognitive levels, whose redefinition can vary greatly depending on who interprets it.
In short: the common one, for those who knew how to read and administer, the cultured one with more erudite content, and the hieratic one intended by those who were initiated.
In his book “The Egyptian Hieroglyph Metaphysical Language”, Moustafa Gadalla refers to them as
Imitative, Figurative, Allegorical; but his is also a current metaphysical interpretation, not priestly, or in any case aimed at uninitiated people.
If my descriptions on this site make sense to the reader, it is likely that the holders of certain energetic and astrophysical truths, in building the pyramid, did not believe they had to or could transmit certain knowledge to the executive designers, since these were notions that went far beyond the funerary or building cult, and that could not have been received and appropriately safeguarded if not by adepts.
Likewise, pyramid scholars pay most attention to the architectural layout from a constructional point of view, drawing for the study of boulders and tunnels from available sources and papyri, translated according to a current terminology, certainly not hermetic; this does not exclude the possibility that measurements and hieroglyphic figures were cleverly converted into enigmas, assuming that the occult necessity was felt beyond the mere executive functions.
On the other hand, the most reliable source is the Great Pyramid itself, with a specific grandeur that provokes and inspires every kind of interpretation, above all other similar ones.
The parabola of 22/7 however (later called Archimedes' constant, probably because he heard about it) exhumed by Petrie in 1925, could have been indicative at a low level, but no golden construct, or definitive calculation of the circle could have been derived from it, although its quotient 3.1429 is closer and more suitable to the π than the current one.
In other words, although 3.1429 was more promising than 3.1416, there would be no reason to accept its replacement, remaining completely alien to the brightness of the golden recurrence, whose multiple implications do not allow for any approximations.
However, reviewing his report more carefully, one notices a rather significant detail that Petrie has aired:
For the whole form the π proportion (height is the radius of a circle =
circumference of Pyramid) has been very generally accepted of late years, and is a relation strongly confirmed by the presence of the numbers 7 and 22 in the number of cubits in height and base respectively ; 7 : 22 being one of the best known approximations to π. With these numbers (or some slight fractional correction on the 22) the designer adopted 7 of a length of 20 double cubits for the height ; and 22 of this length for the half-circuit. The profile used for the work being thus 14 rise on 11 base.
The form and size being thus fixed, the floor of the main chamber of the building-the King's Chamber-was placed at the level where the vertical section of the Pyramid was halved, where the area of the horizontal section was half that of the base, where the diagonal from comer to comer was equal to the length of the base, and where the width of the face was equal to half the diagonal of the base.*
The Queen's Chamber was placed at half this height above the base; and exactly in the middle of the Pyramid from N. to S.
He must have had a reason for specifying the correction right on the 22, I mean because the base is easier and safer to measure live than the height.
In reality he, like that designer, with his not unfounded deduction had already introduced the greatest matching to π 3.14460;
in practice 22.0122 /7 = 3.1446 would be enough to correct many scientific inaccuracies; but since from 1925 to the present this wouldn't lead to appreciable deductions, the detail was underestimated, if not ignored.
Nor could the simple 22÷7 bare and raw be privileged in the construction (while it could have been by a scribe or on a papyrus), since certain golden ratios, on which there are no mathematical or geometric roundings,
and no ratio between integers can define it (just as the Fibonacci sequence will NEVER be able to do),
appear to be fulfilled in the proportions and descriptions of definite areas, first and foremost the King's Hall whose volume would be equivalent to √ 5 ×1000 cubits.
However 22.01223857720 or even just 22.01224 would have been sufficient to emulate the true π in all respects: here is the “slight fractional correction on the 22”, much more precise and suitable than 21.99115, which generates the π adopted by the establishment. .
Since it seems that there is no stone in this mountain of wonders, whose placement has no reason to exist, it deserves at least some diagram of what has been described, naturally sticking to the profile already defined, in scale 10px = 0.1 m, with perfect harmony of data and results..
The scholar Petrie has described with essentiality and precision significant details, which find precise confirmation in the model that I present; but will they find the same in all those that differ in the measures? How many authors will have taken the trouble to verify it?
It should be kept in mind that each perimeter is primarily indicative, an abstract linear composition, devoid of consistency if not theoretical and representative, which delimits an area that is instead form and substance.
I will try to adapt the analysis to Petrie's descriptive tone, reporting the numerical results for verification purposes on my own graphic layout.
Let's start from
“the floor of … -the King's Chamber- … at the level where
the vertical section of the Pyramid was halved,”
The vertical section of the Pyramid (½ base × height)÷2, has an area:
2329,134 /2 * 1481,352 = 1725133,654584 /2 = 862566,827292
( with inverse operations we would have:
2329,134 *2 / 1481,352 = π 3,14460 )
To calculate the height of the halved vertical section I will apply to the height the ratio between the two areas reduced to virtual bases (by the constant 0.707101) from which: √862566.827292 ÷ √1725133.654584 × 1481.352 = 1047.474, or
knowing the side of the minor square: 1725133,655 /1646,9464 = 1047,474
This gives the distance of the floor of the King's chamber from the base of the pyramid: 1481,352 - 1047,474 = 433,8779 /1646,9464
What a graphic check confirms in a single eye-catching move:
“where the area of the horizontal section was half that of the base”
Drawn a square for the area 2329,1342 = 5424865,189956 (the text colors are those of each specific profile, to facilitate the view) on the base of the pyramid, I duplicated it in a square with halved area, which in short has the side of 1646.94644569 Positioned at the horizontal centre of the large triangle, it intersects its sides at a height of 433.8779 from the base, at the two points and the segment that joins them exactly delimits the floor of the King's Chamber.
Rotated by 45°, since its area is halved, its right and left vertices will at least touch the sides of the square in red, which shows that
“the diagonal from comer to comer was equal to the length of the base”
It is a completely natural relationship between the two figures, but it can acquire new value if referred to the cross of the Elements already considered.
Unlike the 4 sides, the diagonals are two, they cross in a single center and particular relationships emerge between those of each square and the other, like planes connected from the specific vertical arrangement inside the pyramid.
Needless to say, all this will only be valid in a perfect pyramid model, which excludes the angle arranged for descriptive purposes according to common parameters.
To better understand them, it would be good to visualize them as two separate planes, but layers of a unique process, the square at the base and the one under the king's chamber, potentially rotated by 45°, so that its diagonals point to the 4 cardinal points, to which the faces of the pyramid are oriented. It is an aspect that will escape but that could inspire the interpretation already mentioned.
In turn, the scholar adds that ½diagonal of the basic square is equivalent to the base that each face would have, delimited by the new floor up to the vertex. This is because in practice ½diagonal is like the side of ½square.
It must be said that if the plane of the King's Chamber is located at a key point of the height in this pyramid, for reasons unknown to us but certainly not casual and without specific relevance, and the same is true for the placement of the Queen's Chamber, with the base at the center of a basic force field between two particular planes, and the dome at the circumcenter of the large triangle, the relationships between squares and diagonals are not at all special, but rather geometrically common to any case with these proportions.
Reducing the side to the width of the face, of which it is the base, leaves the impression that Petrie wanted to embroider it a bit, accentuating some suggestive but not very effective aspects as such; however, it could establish a connection between the 4 semi-diagonals of the base and the four sides of the upper square, perhaps based on frequencies for resonances of crossed wavelengths.
A synergy between sides and corners that could be part of a pyramidal vortex, repeating the reduction process in continuous winding from the base to the apex; but it's just a passing idea.
However, it remains to be seen how he was able to deduce this relationship between the areas of squares which have sides different from each other, moreover without counting the external covering, if not with rounding and intuition. Of course it would make little sense that someone who cut and placed stones with such precision as to leave no space for a razor blade, and sculpted and polished the inside of a red granite ‘sarcophagus’ (see below) with techniques that are still very difficult to hypothesize today, for some purpose more suited to vibrational than funerary implications, could have indulged in approximations on any measure whatsoever.
Its creators were able to project the Quadrature of a Circle of radius Φ onto three dimensions by creating a pyramid that had for its height its radius, and
½base of length equal to the radius × its square root:
Φ ×√ Φ, thence
√½base × Φ ÷ √Φ = Φ, an equality that even the most advanced calculators struggle to achieve.
The basic model is one and transcendent, like the ratio √Φ/φ = Φ, and that
½base × 4 ÷Φraggio è π, even if we have no way of demonstrating it.
For any real radius, the formula switches to:
½base = radius ÷ √ φ.
It seems that it is the zeros that suggest the limit of definition necessary for a fairly correct use of the most common irrational constants, such asΦ: 0.61803 e φ: 1.61803, φ2: 2.61803, √ Φ: 1.27201.
The exception is √ Φ: 0.7861513777574232860, for only 1 millionth, however engaged with the 5 most significant decimals ×4 in the formation of the absolutely eloquent π 3.14460.
There is nothing else in this world that leads us to such a direct comparison with the Squaring of the Circle and the π, and to leave out such a test bench would be an irreparable loss; and then you would have to explain to yourselves for centuries why with the π = 3.14460 all the calculations add up perfectly, while none with the other.
On the other hand, even if this gap of the π is now felt in many ways, and at least its treatment in this domain should help to raise it, the real problem is not or will not be of a scientific nature, but rather pragmatic, since the technical, historical and formal implications will be endless, overwhelming and very long to unravel.
To tell the truth, the same Fire Power of the Great Golden Triangle will still struggle to be fully understood today, and all that is mysterious and has been widely propagated over the centuries and partly proven, remains the object of different lines of observation; but the times are evolving towards a higher vibratory level of human consciousness. As I have already underlined, Kepler himself had only half the sense of it.
The basic problem that technically persists derives in all cases from having to rely on a π re-set in modern times, which has the capacity to invalidate any in-depth verification, with figures of at least 24 decimal places allowed by modern calculators, sufficient to guarantee the effective coexistence of π and φ in the proportions, even if virtual, of the monument.
It is clear that by superimposing the Great Golden Triangle on the drawings of talented scholars over the centuries, we see it correspond to the naked eye with satisfactory precision, even if from drawings made by hand of which the lines themselves can mask the minimal differences in the measurements, but sufficient to give up the vaunted numeral magic.
After all, it is unthinkable that having depicted 230 real meters in a publication from two centuries ago would distinguish those differences that oscillate from 3.1416 to 3.1446; however, only in certain more recent graphs, too improvised or arbitrary, the superposition does not correspond even on a visual level.
At the same time I find it impossible to have conceived this colossal project on the basis of approximate notions, in this case an enormous geometric stilt house, but whose hypnotic correspondence would have come to stir such an endless range of hypotheses… all without a definitive connection.
Nevertheless, even if it were, this would have offered, or reopened to the undersigned the way to the Great Triangle, the 'third treasure of geometry' with all its essential contents, developed in this and other Web domains of mine, up to the π capable, precisely ad hoc, of closing the circle of such notions, even if a posteriori.
So I take up the graphic scheme of the Vyse 1839, this time
published by Piazzi Smyth (which I left intentionally large, for a wide screen) and its view with the red triangle superimposed here, as a further example of how even greater differences have visible and consequently measurable effects that are minimal, compared to the gap that makes a π = 3.14159 incompatible with the true value of 3.14460!
I have shown on the previous page how it is all too easy to confuse or overlap hypothetical methods of calculating the circumference based on 3.1416 or 3.1446 (revealing the defect of the first, and me for the first); even among multiple conversions of sacred and profane units of measurement, dating back to an era in which a few decimal places were already too many to respect.
Today the question in front of the graphs produced and compared is always the same: is a nearly invisible gap in the paths sufficient to evade the essential model? or rather does it reconfirm it, with the tolerance limits assumed?!
Furthermore, it is not clear how all the authors can verify millimeters of measurement, if not as signs of presumed calculations or ones adapted to their own reference models, certainly more than to actual instrumental equipment or on-site measurements.
One might object that the present study does the same, but here the model is impartial and unequivocal; it derives from surveys carried out with advanced equipment; the CAD is an ideal tool for architectural and mechanical projects, so much so that it allows the eyes of logic to confirm that it has immediately revealed the ideal pyramid, the perfect ark of π and Φ, which have not been concealed, as some people ironically say to exclude their presence, but exposed with absolute transparency.
I must once again apologize to those who have had the patience to read me up to this point, for the inevitable repetitions and possible oversights in some part of the text. All this research has only amplified itself, multiplying the directions and data to discover and compare, often returning to the topics already introduced, rethinking them and reviving them where necessary.
I have not written a book to sell, even if the effort expended could justify it together with the contents; nor do I seek fame; I have already accumulated enough of it in the past centuries. Above all, I already know that the time necessary to reorder the writings in a corpus planned a posteriori, would be subtracted from further questions of no less importance, which are already on the horizon, or rather introduced in the following paragraph, precisely because they emerged between folds and the findings of the case, each of which suggests others, and in the meantime time flies.
A final note, personal one. Any more or less qualified scholar could entrench behind the idea that all this work is nothing more than a dream of mine, distinct from the actual reality of the monument. An opinion that I would not fail to respect, but not without having pointed out that, if that were the case, it would still be a geometrically and mathematically impeccable dream.
A dream that probably developed from having lain down inside the "sarcophagus", a few thousand years ago, or perhaps in a dream.
That ark without a lid, sounding like a bell, of which the volume of the void is equivalent to the volume of the full (content and container), a design criterion which suggests that a lid would have been superfluous, which in turn should prove that it was not intended to house a mummy, from which it is clear that Pharaoh Cheops was not intended for it, much less that he was its creator: all conventions, which have never been proven.
«Pyramid casing stone» by National Museum Scotland – www.nms.ac.uk/explore-our-collections
from π to Apophis
At the end of this discreet overview, in a last attempt to verify if and how much the π problem was notorious, a truly unexpected case appears, at the time a last amenity, but which in hindsight gave rise to a further laborious chapter of research and verifications, which I could not avoid.
According to a group dedicated to communicating with extraterrestrial entities, which reels off occult knowledge and technologies according to which a certain Billy, based on the fact that “in the entire universe there are 280 elements after Guido obtained this data through calculations”, would have “calculated that the original height of the Pyramid of Giza was 152.955347 meters” and that “the current height of about 136.8 meters is due to the fact that the ancient Egyptians, etc., removed so much material from the pyramid that it was consequently reduced.
Well, earth scientists say that the Great Pyramid of Giza originally had a height of 146.6 meters, which, however, according to my calculations and your statements, does not correspond to the truth at all.”
A series of rather disconnected improvisations, but connected by a singular narrative magic. What calculations is he talking about? We have seen that the only way to calculate the height of the pyramid is to have measured it at least in part, naturally taking into account that not the ancient Egyptians (absurd supposition), but the Arab looters in the last seven centuries had stripped it as much as they could, up to the most recent building applications.
Although many terrestrial scholars attribute to the Great Pyramid of Giza a height of 146.6 meters, they do not claim that it originally had it, if anything the more known 148+, nor especially that the current height is 136.8 m., given that the minimum formulated from 1840 to today exceeds 146.
It seems that the writer does not know what he is talking about, or wants to ensure that others do not know.
Without prejudice to the irrefutable Great Golden Triangle as a model of proportions, if the pyramid had ever decreased in height by more than 10%, the base itself would have had to shrink equally and for the same causes, unless it is demonstrated how much and what material could be conveniently removed from the top only; but 10% at the base means a good 23 meters, while the stone facings were not 11 meters thick.
One of the largest stones left at the bottom is about 1.5 x 2.4 m high at the base, and weighs about 14 tons. Some calculations suggest that all the facing stones in place would have the effect of gigantic mirrors, reflecting a light so intense that it would be visible from the moon as if it were a shining star on earth.
Strabo describes them as making the pyramid appear: “a building brought down from the sky, untouched by human hands”.
It seemed that the dash of explanations that follow, both descriptive and apparently demanding, but undocumented (except by ‘Contact Reports’ not in the public domain and without demonstrative foundation) went beyond our topic, except to the point where Mr. Guido Moosbrugger, member of the “Central Nucleus of 49”, the first to calculate the correct value of π, is introduced.
Authoritative comments follow by
Ptaah:
This calculation is really surprising, but it is still too early to be able to add more detailed and more precise information about it.
Billy:
we feared this answer,
but we just wanted to try.
Ptaah:
Sure, I understand, but I really have to stick to what I said.
If I were to go into more detail about it, then I would be violating our guidelines,
but we don't do that.
‘surprising calculation’4/√ φ /2 ? ‘too early for more detailed and precise information’, about what?
It would seem like watching a school play, if it were not for the fact that the features of the deception will later emerge.
Then on the pyramid:
The original height actually amounted to 152.955347 meters, which, transposed into kilometers, corresponds exactly to the distance Earth-Sun
First of all, what would be the Earth-Sun distance in an elliptical orbit to be adhered to in order to define the original height of the pyramid ‘in reality’ and in spite of the actual measurements? and why the maximum radius of the aphelion?
Year
Perihelion
Distance
Aphelion
Distance
2024
3 gen 1.38
147.100.632 km
5 lug 7.06
152.099.968 km
2025
4 gen 14.28
147.103.686 km
3 lug 21.54
152.087.738 km
2026
3 gen 18.15
147.099.894 km
6 lug 19.30
152.087.774 km
2027
3 gen 3.32
147.104.592 km
5 lug 7.05
152,100,481 km
2028
5 gen 13.28
147.100.687 km
4 lug 0.18
152.093.129 km
* All aphelion/perihelion times are in local Pisa time.
even so the numbers don't add up, not even when revised with the π 3.14460; the gap is too big, in fact it seems to be closer to the perihelion.
In any case there was very little to calculate, and still no surprising calculations: the manuscript on paper reports with a simple division that pre-established ratio present for 10 thousand years between the base and the height of the pyramid, according to what tradition has handed down since the first Egyptian and Greek speakers; but who knows why it confirms it with arbitrary measurements not corresponding to what was detected instrumentally, and nevertheless aligned to 9 decimals (the last one is wrong) with the π deducible from the Great Triangle.
It can be deduced that since the author could not have invented them and since they were not motivated in his autographed writing, they were passed to him from an external source, to then present them as the surprising result of alleged astronomical calculations on the distance from the Earth to the Sun, certainly easier to calculate than the real height of the monument; perhaps to ensure a primacy on a proportional data already outlined by various authors, but forever present in the Great Pyramid due to the clear knowledge of the builder.
In any case, there would not be much to “violate”, except the intelligence of the reader. If the member Moosbrugger is not enough, this new precursor is introduced: Harry Lear, who in turn makes it an object of alarm for science – the only just and noteworthy cause – but does not at all demonstrate the error of the value 3.14159, nor the absoluteness of π 3.14460.
He also proposes a series of ideal analogies by applying the π 3.1446 to the comparison of 3.1416, always losing; but these are only some certifications on his part, out of who knows how many other possible ones.
Although copyrighted, which is not allowed for any mathematical procedure, no absolute demonstrations take place.
This is attested by the simple fact that even if only one were really so, there would be no need for the others.
Perhaps this is why at the end he invites anyone who wants to experiment with cutting a milled multilayer model with a diameter of one meter.
Incidentally, I kindly contacted him following the invitation on his site, but my comment was trashed.
The circle is transcendent and it is transcendence: it can inscribe or circumscribe in any dimension, but there is no possibility of converting it directly into any alternative geometric figure.
Likewise, I think the π cannot be demonstrated one-way, it can only be chosen, once focused it sufficiently.
Or better yet, grasp its essence by trusting in modern atomic physics, which gives us the 0.78615 applied to the speed of light, universal constant which if multiplied by four it generates π, and squared Φ 0.618 which – I must stress this one last time – is the true Golden Section.
As I have already exposed in detail, if the area of the square is Φ, that of the circle of equal perimeter is its square root 0.78615.
Whoever assumes the number φ 1.618 as the Golden Section incurs a double oversight: first of all 1.618 cannot be defined as the golden section of 1, since the value and concept itself of any “section” cannot be greater than unity; and then because 1.618 acts as a screen that precludes the correct vision-interpretation of the aforementioned genesis of π 3.14460 and its ratio with quarter circles and wave phases, established by the universal value 0.78615 which I call or Platinum, from which the golden ratio itself comes, as well as the only genuine π. It's nothing but the magical combination of 1 + Φ = 1 ÷ Φ.
I have already talked about it on some articles, but since it's time to go into more detail than has ever been done before, I have dedicated a very special page to it:
The number 1.2720 is just the result of √.φ, it does not seem to be in itself a significant constant like it is 0.78615 √.Φ; let's say that it is at the opposite pole of the path; I see it as a kind of dead end, devoid of indications, which does not support phenomenal reality as such.
It is only made useful by dividing the unit. After all, all my research up to the true π came from focusing the golden circles from the outside to the center of the pyramid vertical section, in symbiosis with that Divine Triangle whose sides represent all of this to the highest degree.
I would like to reiterate my opinion that it is the golden ratio that derives from π, of which ¼ (according to common usage) ie is in any case the root, the prime mover, not the opposite, even if it is or will be discovered later.
Can anyone give me a good reason to prefer the artificial π 3.14159 to 3.14460? or prove to me at this point that the first is mathematically more valid and reliable?
In compensation for the expository sobriety of the surprising manuscript, we can enjoy a blackboard full
of abundant calculations entitled "Measurement of Pi by Square Root of the Golden Section" and dedicated to none other than the President of the USA and for information, to 26 personalities from the scientific and managerial environment.
The hint over the image found in their Italian website says: “Pi symbol with a blackboard full of calculations in the background”.
It is a tacit example of the relationship not between π and Φ, but between blowing smoke in the eyes of the unprepared, and the most linear truths.
In place of the silly calculations which it is full of, the only relevant and possible ones would in fact be all here:
π =√ Φ×4 where Φ =(√5-1)÷2.
I reproduce some passages among the most suitable for examination.
Note: NASA states that the distance from the Earth to the Sun, 1 AU (Astronomical Unit), is equal to 149,597,871 km, but in reality it is 152,955,335.7 km.
For the second time a precise accusation is made to the scientific community, supported by the expression "in reality".
An unpardonable and unjustified lightness.
The 28th General Assembly of the International Astronomical Union has defined since 2012 (6 years before the letter) the astronomical unit [AU], with the value of 149 597 870 707 m, which represents the average distance between Earth and Sun.
The 152,955,335.7 km “in reality” are only referable to the maximum distance between the Earth and the Sun, the Aphelion, and are already different from the 152,955,347 declared by the same FIGU“exactly” for the height of the pyramid.
Of course, for those who calculate the planet's elliptical orbit with the formula of a circle – a formula that they will illustrate in detail to scientists called to an alarm for collision of orbits – the term and meaning of "average distance" has no reason to exist.
As you know the circumference of a circle (like the orbits of the Earth and Apophis) is calculated by the simple equation C = d x p, where C is Circumference,
d is the diameter of the orbit and π is a constant.
All the more so since it proceeds with the kind concession to NASA of the value in use, to apply to it a relationship without a definitive mathematical conclusion, without realizing that the average Earth-Sun distance has no value with respect to a precise time and place of hypothetical orbital impact of the asteroid, to calculate which only the actual celestial mechanics would be valid; but he does not do any of these calculations..
Note that those who are able to navigate interstellar space obviously have a technology that allows orbital predictions which are necessary for their purposes, nothing transcendental or prophetic about an asteroid.
Naturally NASA noticed Apophis when it entered its range of interest.
All this seems to be of no importance for those who rely on a
Bulletin followed by about 29,000 scientists and other interested sectors why Meier and the Plejaren have previously and consistently provided correct astronomical and scientific information (editor's note: by publishing very precise data in this Bulletin), in which scientists from all over the world are very interested.
Scientists moreover called to an alarm case for collision of elliptical orbits.
I would not see, however, that this Apophis exploit has had gained any renown among 29.000 scientists etc., perhaps because this shaky approach and its conclusion, cinematic rather than mathematical, with the
suggesting a solution…
let's simply move Apophis out of its current orbit,
instead of helping to recognize the epochal weight of π and Φ, has had the opposite effect.
He writes to President Trump:
…brought my mathematical proofs to the Plejarens and the Plejarens stated (with some amazement and excitement, …) that, although they were not authorized to physically interfere in Earth affairs, my mathematical proofs and calculations regarding the true value of π were absolutely correct.
A series of statements without head or tail, just for effect:
‘mathematical proofs’ consistent?‘physically interfere’??
Mathematical calculations and demonstrations about which 23 pages by Guido Moosbrugger are cited as well, never exposed on the web as such.
Besides the fragment reproduced above as a relic, of his book I only see news indexed on UFOs and alien encounters, which prompted me to stumble upon Billy Meier with his flaunted 'Henoch prophecies '.
A discovery that unfortunately will introduce a long series of research and evaluations for an extremely critical report, destined to be extrapolated in a specific report, since it goes beyond this discussion, but is now made public by this same study to which it is connected..
Above all this, the truth π = √Φ × 4 has always and steadily shone in the construct of the pyramid, the leitmotif of the current discussion, which places it before the eyes of those who want to see and examine it thoroughly.
As for the asteroid Apophis, at the century ‘99942’, for the Egyptians deity of chaos, destruction and antagonist of Ra the sun, it has been estimated that such a large body comes so close to the Earth only once every 5 thousand/10 thousand years…
Well, the problem could not be limited to an impact, considered more probable just recently, but in my opinion extend to gravitational effects and others, due to the interaction of its repeated passage (2029-2036) with the Earth's gravitational field, capable of interfering with the polar equilibrium.
The 10,000 years, which could make one think of the 11,500 years long associated with the shifting of the poles, are upon us,
I would not like to venture hypotheses that go beyond my preparation, but in my four-year commitment to astro-seismology (2011-2014), in which I calculated and related daily orbital relations in the solar system with earthquake events (like this oneor this, still systematic objects of thousands of consultations since 2014 by scholars, certainly not bloggers), not without various predictions that hit the mark, also addressed to INGV via Twitter, despite its small size of 375 km it should not be overlooked that Pluto, in my experience in astro-seismology, despite being the farthest from Earth and only about 6.32 times larger than the asteroid, has always been one of the most dangerous presences, when involved by precise aspects in geocentric configurations; I have always thought of wave issues, or of resonance even more than gravity; but then I dealt with something else.
The first passage in 1929 could therefore be only preparatory to the one 7 years later; not of "an enormous cosmic catastrophe" but rather of the unpostponable end of a world that the time has come to renew; even if the intervention of the destroyer Apophis was only symbolic.
All this stimulates me to leave you with another game, an eloquent and pleasant puzzle, which I offer precisely to take you back on my steps as I write.
You will be amazed if you patiently observe this wonderful sequence and the correspondences of these circles, all drawn starting from the external red [1] according to a progressive golden reduction of their diameters; except one, the smaller one in blue dashes [2], which has a diameter equal to the radius of the primary, with two of its golden reductions at the base.
It will lead directly to a double quadrature, already summarized at the end of the home page, but not explained except within the site.
The circle [1] has radius Φ [0.618].
We want to draw a circle with radius = 0.5 [golden ratio monad], passing through its center, and see how they interact.
You will recall from the parent figure of the Great Triangle, that the center of the new circle will be located at the point of the radius Φ which is distant from the circumference ½Φ3 [0.118]; the intersection with any radius [here vertical] of a circle Φ2, will divide the radius into two parts, of which the center of the smaller will be the center to draw the circle [3], in the second figure.
With a ruler and compass it could also be obtained by joining the intersections of two circles of radius Φ3, one tangent to Φ4 and to the base of Φ1 [1], the other centered at the lower end of the radius; among other things it will be exactly inscribed in the triangle abd that I describe below.
As you can see, it is also the center of the second reduction ×Φ of the circle [2], which is always equal to ½Φ3 with perfect bilateral tangency.
I would just like to point out the incredible series of correspondences that manifest a hidden but pervasive harmony of every functional connection.
Having drawn the circle [3] from its center C and radius extended to the center of the circle [1] then = 0.5, the segment bd that joins the intersection points of this [3] with the circle [1] performs several tasks.
First of all it outlines the Quadrature [green] of the Circle [1], which overlaps symmetrically precisely through its extremes; then it is the base of the golden triangle bda in which each side introduces the squaring of the circle [3], and finally the base of the same triangle abd which, rotated by approximately 76°352 on the vertex b becomes a side of the larger Golden Triangle bcd, pertaining to the circle [1] and endowed with new special combinations with the general golden plan, for the unexpected correspondences of intersections, and those qualities of tangentiality which led to its discovery.
I then added to fig. 2 a golden triangle rotated -90°, with the base adjacent to a vertical side of the square, in such a position that the vertex corresponds to the intersection of the base of the square with the radius that joins the 2 circles (an effect of the bitmap pixels reduces the precision, which however is clearly visible in the PDF, the stimulating exploration of which I leave to the reader who is as curious as I am): and I discover that it is tangent to the circle Φ2; at its point of intersection with the golden triangle.
Immediately next to it, it crosses the intersection of two other circles: the main Φ2 with the one inscribed in the golden triangle obtained, the base of the golden triangle reduced to 50% (pink), and inverted at the center of the golden triangle of the circle [3], which together develops tangentiality and connections at the vertices with three other significant circles [blue].
This is just a small sample of what Φ can do!
Being just an illustrative whim, I didn't program everything in PostScript, so it may not be perfect in some details, but it is not lacking in accuracy and self-proving validity.
As for my personal work in this space of mathematics, it has been done not to appear as a discovery, exclusive or not, but to urge men to finally understand and receive the precious inheritance they have received.
And to begin with, to correct the π, for the good of all.