Fibonacci series directly relates the tetrahedron to the pentagon | GEOMETRY: Platonic Solids & the Symmetries of Space | Sacred Geometry Web | Forum
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October 17, 2019
April 3, 2018
That is interesting, but I’m not sure I understand fully.
Do you mean that, for instance, if the length of three edges is in proportions 3 : 5 : 8
then the new face would be a point of a 5 pointed star?
That seems counter-intuitive to me.
I can imagine that if the lengths were 3 : 3 : 5
that the new face might approximate a star point,
but “any three terms of the Fibonacci series” seems like it would often generate a new face
that was not an isosceles triangle, let alone a golden ratio one.
Perhaps I’m misunderstanding what you mean?
October 17, 2019
I actually do mean 3:5:8 but the phi ratio gets closer the higher in the sequence one goes; the 3:5 triangle has the shorter side of the star( the side of a pentagon) while the 3:8 and 5:8 triangles -dont ask me HOW…wind up having equal lengths for the third sides of their triangles- the two diagonals of the pentagon, or the sides that form the “point” of the star
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