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Hexagonal bifrustum

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Hexagonal Bifrustum
Hexagonal bifrustum
Type Bifrustum
Faces 12 trapezoids, 2 hexagons
Edges 24
Vertices 18
Symmetry group D6h
Dual polyhedron elongated hexagonal dipyramid
Properties convex

The hexagonal bifrustum or truncated hexagonal bipyramid is the fourth in an infinite series of bifrustum polyhedra. It has 12 trapezoid and 2 hexagonal faces. This polyhedron can be constructed by taking a hexagonal dipyramid and truncating the polar axis vertices, making it into two end-to-end frustums.

Several types of crystal take this shape.[1] It has also been used in the design of 14-sided dice, which may be used to generate randomly chosen playing cards.[2]


  1. ^ Romanowski, W. (December 1969), "Equilibrium forms of very small metallic crystals", Surface Science, 18 (2): 373–388, doi:10.1016/0039-6028(69)90180-0.
  2. ^ Set of five, fourteen sided poker dice, Patent US 8074986 B1, Douglas A. Gebhart, filed September 30, 2008.

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