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Elongated dodecahedron

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Elongated dodecahedron
TypeDodecahedron
Faces8 rhombi
4 hexagons
Edges28
Vertices18
Vertex configuration(8) 4.6.6
(8) 4.4.6
(2) 4.4.4.4
Symmetry groupD4h, [4,2], (*422), order 16
Rotation groupD4, [4,2]+, (422), order 8
Dual polyhedron-
Propertiesconvex, Zonohedron

The rhombo-hexagonal dodecahedron is a convex polyhedron with 8 rhombic and 4 equilateral hexagonal faces.

It is also called an elongated dodecahedron and extended rhombic dodecahedron because it is related to the rhombic dodecahedron by expanding four rhombic faces of the rhombic dodecahedron into hexagons.

Tessellation

Part of a tessellation of space using rhombo-hexagonal dodecahedra

This is related to the rhombic dodecahedral honeycomb with an elongation of zero.

  • Weisstein, Eric W. "Space-filling polyhedron". MathWorld.
  • Weisstein, Eric W. "Elongated dodecahedron". MathWorld.
  • [1] Uniform space-filling using only rhombo-hexagonal dodecahedra
  • VRML Model [2]

References

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