Prof. Dr, Max Bruckner, Four Plates from the Book “Vielecke und Vielflache”, (1900)
Regular convex polyhedra, frequently referenced as “Platonic” solids, are featured prominently in the philosophy of Plato, who spoke about them, rather intuitively, in association to the four classical elements (earth, wind, fire, water… plus ether). However, it was Euclid who actually provided a mathematical description of each solid and found the ratio of the diameter of the circumscribed sphere to the length of the edge and argued that there are no further convex polyhedra than those 5: tetrahedron, hexahedron (also known as the cube), octahedron, dodecahedron and icosahedron.
“This vigorous discussion on “Our Future In Space” featuring Phil Plait, Pamela Gay, Lawrence Krauss, Bill Nye, and Neil deGrasse Tyson was one of the most memorable moments at TAM 2011 Las Vegas. We invite you to enjoy the video of this great panel discussion.”
I'm a former design engineer for Space Dynamics Laboratory and ATK Launch Systems. I specialize in Finite Element Analysis and work closely with the Monolithic Dome Institute. Contact me if you need Finite Element work done.