Decahedron

In geometry, a decahedron is a polyhedron with 10 faces. There are 32300 topologically distinct decahedra^[1][2] and none are regular, so this name is ambiguous.

With regular faces:

• 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) — often used as a die in role playing games, known as d10
• Enneagonal pyramid (9-pyramid)

References

1. ^ Steven Dutch: How Many Polyhedra are There?
2. ^ Gerard Michon: Counting Polyhedra

External links

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