The Platonic Solids Explained вђ Mashup Math Plato believed that our universe was comprised up of five elements: earth, air, fire, water, and aether. he associated each element with a different platonic solid. according to plato: the tetrahedron represents fire. the cube represents earth. the octahedron represents air. the dodecahedron represents aether. Every platonic solid (and archimedean solid) is built out of regular polygons. this basically means that each edge is equal and each corner of the 2d shape is equal. the most basic regular polygon is a regular triangle. add a corner more and you get a square, add another corner more and you get a pentagon.
Mathemagical Synchronicities In Our Measure Of Space And Time World Planets and platonic solids. johann kepler discovered in 1596 that the ratios of the orbits of the six planets known in his day were the same as the ratios between nested platonic solids. kepler was understandably quite impressed with this discovery and called it the mysterium cosmographicum. i heard of this in a course in the history of. Platonic solid. in geometry, a platonic solid is a convex, regular polyhedron in three dimensional euclidean space. being a regular polyhedron means that the faces are congruent (identical in shape and size) regular polygons (all angles congruent and all edges congruent), and the same number of faces meet at each vertex. The faces on each one are regular polygons, which means all angles and edges are congruent. the same number of faces on each one meet at each vertex. each of the shapes can fit evenly into a sphere. the five platonic solids are the: 1. tetrahedron – 4 faces. 2. cube, or hexahedron – 6 faces. Synthetic strategies for the self assembly of discrete high molecular weight molecules have yielded regular structures based on platonic solids, as well as related, less regular structures. a key concept in the assembly of such molecules and of larger porous frameworks is the secondary building unit—for example, a molecular square could be used to assemble larger structures.
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