geometric spirals are transcendent curves that are distinguished by the law that links the angle of rotation around the pole to the distance of the points of the curve from the pole itself. In particular:
s. of Archimedes, in which this distance is proportional to the angle of rotation …
- new insert 2023Well, I couldn't overlook it! just hereafter I investigated at its root the correct way of drawing a spiral, resolved with a well-explained algorithm, then disclosed at least two ‘secrets’ pertaining to its geometric as well as creating power.
Now you can draw the exact spiral yourself, H
- end 2023
In addition to the approximation of those arcs in the presumed spiral development, it would be good to try to explain why the so-called golden spiral curves thus obtained are at each turn more and more divergent and not superimposable for extremes if obtained from the golden rectangle, or from the golden triangle got from the star pentagon ...
Although as a circular structure it cannot be discretized by a scaffolding of rectangles and squares – except to challenge a problem even worse than squaring the circle – the attention remains firm on this specific development, as a pattern to panes, since they introduce the concept of a principle that regulates the progression of the Φ, implicitly attributable to the circular winding quarters, as phases of a wavelength; we will see later the quadrangular rotation scheme also recur in the quadrants of the circle, albeit in an undifferentiated way.Actually, the simulated spiral does nothing but reproduce the sequence of golden circles outlined here!
In that essay I worked out their series up to 8 in decreasing golden progression, then distributing them along the vertical axis up to the apex of the pyramid (which presumably would have housed a mysterious sphere with the size of the 8th), maintaining its tangentiality with the sides of the triangular profile, which revealed all the extraordinary tuning, with each center self-disposed exactly on the previous [major] 2nd circumference as well as its tangentiality to the next 3rd; allowing us to hypothesize a set of vibratory fields with precise resonance inside the structure; which about seven years later seems to have found some confirmation at least from thermal scanning, thanks to the installation of scientific detection instruments (muon detectors).
From this page a schematic view and a PDF excerpt from the cited essay.