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Decahedron

Polyhedron with 10 faces

Decahedron

Polyhedron with 10 faces

die

In geometry, a decahedron is a polyhedron with ten faces. There are 32300 topologically distinct decahedra, 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)

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
  • Chamfered Tetrahedron

References

References

  1. Gerard Michon: [http://www.numericana.com/data/polyhedra.htm Counting Polyhedra]
  2. {{cite OEIS. A000944
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