decahedron

For the Washington, DC post-hardcore band, see Decahedron (band)

In geometry, a decahedron is a polyhedron with 10 faces. There are many such polyhedra and none are regular, so this name is ambiguous.

Convex decahedra made out of regular polygons include:

• Octagonal prism (Uniform 8-prism)
• Square antiprism (Uniform 4-antiprism)
• Square cupola (Johnson solid 4)
• Pentagonal dipyramid (Johnson solid 13, 5-bipyramid)
• Augmented pentagonal prism (Johnson solid 52)

With nonregular faces it can also be:

• Pentagonal trapezohedron (5-trapezohedron, antiprism dual)
• Enneagonal pyramid (9-pyramid)

A very important decahedron, for its use in role playing games to simulate probabilities, is the Pentagonal trapezohedron, usually known by d10.

External links

• Weisstein, Eric W., "Decahedron" from MathWorld.