"SOMATOIDES" BASIC BUILDING BLOCK [ INTERPRETED
By PANAGIOTIS STEFANIDES ] STRUCTURING THE ICOSAHEDRON AND THE OTHER BASIC POLYHEDRA.

In the video clip the Somatoides[red] and its extensions , [blue and white solids all in golden ratio to each other, and
[ as building blocks] form together one Quarter of a Great Pyramid Model , via which the ICOSAHEDRON
[ HEXAGONAL SECTION SHOWN] and the other Four Platonic or Eucleidean Solids are being built.

THIS SOMATOIDES TETRAHEDRAL[ RED] STRUCTURE

HAS EDGE LENGTS BASED ON THE SQUARE ROOT OF

THE GOLDEN SECTION [ SQRT(Φ) = T]

THIS SPECIAL FORM OF TETRAHEDRON, HAS A

STRUCTURE IS BASED ON TWO PAIRS OF ORTHOGONAL

TRIANGES.

[REF.: PLATO'S TIMAEUS MOST BEAUTIFUL TRIANGLE-P.STEFANIDES INTERPRETATION
http://www.stefanides.gr/Html/platostriangle.htm ]

THE SIDES [ LINES] OF THESE ORTHOGONAL TRIANGLES

[P. STEFANIDES INTERPRETATION] REPRESENT GEOMETRICALLY

THE FOUR PLATONIC ELEMENTS, IN GEOMETRIC

RATIOS

T^3/T^2==T^2/T^1 =T^1/1 = FIRE/AIR =

=AIR/WATER=AIR/WATER=WATER/EARTH =T

WHWRE T IS THE SQRT[Phi] OBEYING : T^4 -T^2 -1 = 0

ABSTRACT

The theory behind this work is based on my, proposed interpretation of Plato’s Timaeus triangles of the structure of matter, “THE MOST BEAUTIFUL” and “THE ISOSCELES” [Pl. Ti 54 B] and also “THE “SOMATOIDES” and “THE STEREOID-MOST BEAUTIFUL BOND” [Pl.Ti.31B, C/32 B] It is additionally based on my special theory, proposed, relating Spirals and Logarithms to various bases.

REF :
http://www.stefanides.gr/Html/platostriangle.htm
* http://www.stefanides.gr/pdf/BOOK%
http://www.stefanides.gr/pdf/PROPOSED_GEOMETRY_OF_THE_PLATONIC_TIMAEUS_GREEK.pdf.pdf

http://www.stefanides.gr

© Copyright Panagiotis Stefanides.