# Dodecahedron

From Encyclopedia of Mathematics

One of the five types of regular polyhedra. A dodecahedron has 12 (pentagonal) faces, 30 edges and 20 vertices (with three edges meeting at each vertex). If $a$ is the edge length of a dodecahedron, its volume is

$$v=\frac{a^3}{4}(15+7\sqrt5)\approx7.6631a^3.$$

Figure: d033750a

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**How to Cite This Entry:**

Dodecahedron.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Dodecahedron&oldid=53446

This article was adapted from an original article by BSE-3 (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article