Hexagonal bifrustum

{{Short description|Polyhedron with 14 faces}}

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!bgcolor=#e7dcc3 colspan=2|Hexagonal Bifrustum

align=center colspan=2|Image:Hexagonal bifrustum.png
bgcolor=#e7dcc3|TypeBifrustum
bgcolor=#e7dcc3|Faces12 trapezoids, 2 hexagons
bgcolor=#e7dcc3|Edges24
bgcolor=#e7dcc3|Vertices18
bgcolor=#e7dcc3|Symmetry groupD6h
bgcolor=#e7dcc3|Dual polyhedronelongated hexagonal dipyramid
bgcolor=#e7dcc3|Propertiesconvex

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.{{citation|title=Equilibrium forms of very small metallic crystals|first=W.|last=Romanowski|doi=10.1016/0039-6028(69)90180-0|journal=Surface Science|volume=18|issue=2|date=December 1969|pages=373–388|bibcode=1969SurSc..18..373R }}.

It has also been used in the design of 14-sided dice, which may be used to generate randomly chosen playing cards.[https://patents.google.com/patent/US8074986 Set of five, fourteen sided poker dice], Patent US 8074986 B1, Douglas A. Gebhart, filed September 30, 2008.

References

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