Platonic solid

English thumb|a cube as Platonic solid right|thumb|A tetrahedron, one of the Platonic solids Alternative forms en platonic solid US Etymology From en Platonic + en solid, in reference to the Greek philosopher Plato, who in his dialogue Timaeus (dialogue) Timaeus theorised about a correspondence between these solids and the Classical element classical physical elements. Noun en geometry Any of five convex polyhedra with congruent regular polygonal faces, which have a high degree of symmetry and have been studied since antiquity. en 1961 J. S. Griffith The Theory of Transition-Metal Ions 41 https://books.google.com.au/books?id=vv08AAAAIAAJ&pg=PA141&dq=%22Platonic+solid%22%7C%22Platonic+solids%22&hl=en&sa=X&ved=0ahUKEwiVgb-SwePMAhUKmZQKHYKTDPsQ6AEI0gMwUw#v=onepage&q=%22Platonic%20solid%22%7C%22Platonic%20solids%22&f=false As the names suggest, the groups and their existence are connected to the five Platonic solids. They are in fact the rotation groups of the Platonic solids. en 1981 w:William Irwin Thompson The Time Falling Bodies Take to Light: Mythology, Sexuality and the Origins of Culture Rider/Hutchinson & Co. London 202 The boat which the gods tell Utnapishtim to build is no ordinary boat but a perfect cube with seven levels; the ark resembles more a Platonic solid from the Timaeus than a seaworthy craft. en 1993 Aharon Kantorovich Scientific Discovery: Logic and Tinkering 160 https://books.google.com.au/books?id=nVn2yaeZm_wC&pg=PA160&dq=%22Platonic+solid%22%7C%22Platonic+solids%22&hl=en&sa=X&ved=0ahUKEwiVgb-SwePMAhUKmZQKHYKTDPsQ6AEIywIwPA#v=onepage&q=%22Platonic%20solid%22%7C%22Platonic%20solids%22&f=false The erroneous number of planets, six, gave him[Johannes Kepler] the clue for his model of five Platonic solids (the five regular convex polyhedra) on which he erected the universe. en 2015 Alexander A. Stepanov; Daniel E. Rose From Mathematics to Generic Programming https://books.google.com.au/books?id=UqxYBQAAQBAJ&pg=PA44&dq=%22Platonic+solid%22%7C%22Platonic+solids%22&hl=en&sa=X&ved=0ahUKEwjnvZbd8-PMAhVFkZQKHdBzC2c4ZBDoAQjMAjA3#v=onepage&q=%22Platonic%20solid%22%7C%22Platonic%20solids%22&f=false 44 In the 13th and final book, he[Euclid] shows how to construct the five Platonic solids, and proves that they are the only regular polyhedra (bodies whose faces are congruent, regular polygons) that exist. Hyponyms Any of five polyhedra cube, dodecahedron, icosahedron, octahedron, regular hexahedron cube, tetrahedron Related terms en Platonic hydrocarbon Translations Any one of five polyhedra Armenian: hy Catalan: ca sòlid platònic m Czech: cs platónské těleso n Danish: da platonisk legeme n Dutch: nl regelmatig veelvlak n, nl platonisch lichaam n Esperanto: eo platona solido Estonian: et Finnish: fi Platonin kappale French: fr solide de Platon m Friulian: fur solit platonic m Galician: gl sólido platónico m Georgian: ka პლატონური სხეული German: de platonischer Körper m Hungarian: hu szabályos test, hu platóni test Italian: it solido platonico Latin: la corpus rēgulātum n Occitan: oc Polish: pl wielościan foremny m-in, pl bryła platońska f Portuguese: pt sólido platónico m European, pt sólido platônico m Brazilian Russian: ru плато́ново те́ло n Spanish: es sólido platónico m Swedish: sv platonsk kropp See also en Archimedean solid en Catalan solid en Johnson solid en Kepler solid Platonic solid Regular 4-polytope List of regular polytopes and compounds en eponyms en Polyhedra