# Platonic solids

From Encyclopedia of Mathematics

The name given to five convex regular polyhedra: the tetrahedron, the cube, the octahedron, the dodecahedron, and the icosahedron. The names of the polyhedra are Plato's names, who in his Timei (4th century B.C.) assigned them a mystical significance; they were known before Plato.

#### Comments

#### References

[a1] | H.S.M. Coxeter, "Regular polytopes" , Macmillan (1963) Zbl 0118.35902 |

[a2] | D. Hilbert, S.E. Cohn-Vossen, "Geometry and the imagination" , Chelsea (1952) pp. 90ff (Translated from German) Zbl 0047.38806 |

**How to Cite This Entry:**

Platonic solids.

*Encyclopedia of Mathematics.*URL: http://www.encyclopediaofmath.org/index.php?title=Platonic_solids&oldid=42535