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
How to Cite This Entry:
Dodecahedron. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Dodecahedron&oldid=13229
Dodecahedron. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Dodecahedron&oldid=13229
This article was adapted from an original article by BSE-3 (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article