Hexagonal bifrustum

Hexagonal Bifrustum

Type	Bifrustum
Faces	12 trapezoids, 2 hexagons
Edges	24
Vertices	18
Symmetry group	D_6h
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] It also has application in novelty promotional calendars: one month can appear on each of the trapezoids, and an advertising or other message on each of the hexagons.^{[citation needed]}

References

^ 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.
^ Set of five, fourteen sided poker dice, Patent US 8074986 B1, Douglas A. Gebhart, filed September 30, 2008.

External links

Conway Notation for Polyhedra Try: t6dP6

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[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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