# Difference between revisions of "Platonic solids"

From Encyclopedia of Mathematics

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− | <table><TR><TD valign="top">[a1]</TD> <TD valign="top"> H.S.M. Coxeter, "Regular polytopes" , Macmillan (1963)</TD></TR><TR><TD valign="top">[a2]</TD> <TD valign="top"> D. Hilbert, S.E. Cohn-Vossen, "Geometry and the imagination" , Chelsea (1952) pp. 90ff (Translated from German)</TD></TR></table> | + | <table> |

+ | <TR><TD valign="top">[a1]</TD> <TD valign="top"> H.S.M. Coxeter, "Regular polytopes" , Macmillan (1963) {{ZBL|0118.35902}}</TD></TR> | ||

+ | <TR><TD valign="top">[a2]</TD> <TD valign="top"> D. Hilbert, S.E. Cohn-Vossen, "Geometry and the imagination" , Chelsea (1952) pp. 90ff (Translated from German) {{ZBL|0047.38806}}</TD></TR> | ||

+ | </table> |

## Latest revision as of 18:35, 15 December 2017

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://encyclopediaofmath.org/index.php?title=Platonic_solids&oldid=42535