Platonic solid

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English[edit]

A tetrahedron, one of the Platonic solids
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Etymology[edit]

From Platonic + solid, in reference to the Greek philosopher Plato, who in his dialogue Timaeus theorised about a correspondence between these solids and the classical physical elements.

Noun[edit]

Platonic solid (plural Platonic solids)

  1. (geometry) Any of five convex polyhedra with congruent regular polygonal faces, which have a high degree of symmetry and have been studied since antiquity.
    • 1961, J. S. Griffith, The Theory of Transition-Metal Ions[1], page 41:
      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.
    • 1993, Aharon Kantorovich, Scientific Discovery: Logic and Tinkering[2], page 160:
      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.
    • 2015, Alexander A. Stepanov, Daniel E. Rose, From Mathematics to Generic Programming, page 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.

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