, the first class of such shapes, are well known.
But I found "A Geometric Analysis of the Platonic Solids
and Other Semi-Regular Polyhedra" to be very reader-friendly.
A Geometic Analysis Of The Platonic Solids
And Other Semi-Regular Polyhedra" by writer, researcher, and original thinker Kenneth MacLean provides teachers, science students, and non-specialist general readers with an informed and informative introduction to the Phi Ratio as it is commonly encountered in the world.
Plato's speculation has not been substantiated by modern science; however, Platonic solids
appear routinely in nature.
Then, they started with a certain Platonic solid
The primary thesis in the Mysterium cosmographicum is that God created the (Copernican) universe to express the five platonic solids
(the cube, tetrahedron, octahedron, icosahedron, and dodecahedron).
1992) and many others have observed, the spherical versions of the five platonic solids
(Figure 2) represent the only ways in which the sphere can be partitioned into cells, each consisting of the same regular spherical polygon, with the same number of polygons meeting at each vertex.
There are still people who feel uneasy when they learn that Isaac Newton spent most of his intellectual energy on alchemy and biblical prophecies, and that Johannes Kepler's three laws of planetary motion are embedded in elaborate theories concerning the Platonic Solids
and the Harmony of the Spheres.
Developed in collaboration with Geometros using sgCore, Morphi offers an incredible range of shapes, from basic to Platonic solids
Inherently complex but regular, the platonic solids
readily lent themselves to CAD and rapid prototypical production.
Laban's ideas and theories are based on the Platonic solids
and how they orient the figure in space; if you're standing in the center of an icosahedron and you stretch out your limbs, each vertex corresponds to a point toward which a limb extends.
In addition to the nodes our flowers contain 3-, 4- and 5-cycle petals corresponding to the former regular faces of the Platonic solids