In geometry, a decahedron is a polyhedron with ten faces. There are 32300 topologically distinct decahedra,[1][2] and none are regular, so this name does not identify a specific type of polyhedron except for the number of faces.
Some decahedra have regular faces:
- Octagonal prism (uniform 8-prism)
- Square antiprism (uniform 4-antiprism)
- Square cupola (Johnson solid 4)
- Pentagonal bipyramid (Johnson solid 13, 5-bipyramid)
- Augmented pentagonal prism (Johnson solid 52)
The decahedra with irregular faces include:
- Pentagonal trapezohedron (5-trapezohedron, antiprism dual) – often used as a die in role playing games, known as a d10
- Truncated square trapezohedron
- Enneagonal pyramid (9-pyramid)
- Ten of diamonds decahedron - a space-filling polyhedron with D2d symmetry.
References
[edit]- ^ Gerard Michon: Counting Polyhedra
- ^ Sloane, N. J. A. (ed.). "Sequence A000944". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.