|Bowers style acronym||Hat|
|Faces||12 isosceles triangles|
|Vertex figure||2 hexagons, 6 squares|
|Measures (edge lengths 1, )|
|Abstract & topological properties|
|Symmetry||G2×A1, order 24|
The hexagonal tegum or hat, also called a hexagonal bipyramid, is a tegum with a hexagon as the midsection, constructed as the dual of a hexagonal prism. It has 12 isosceles triangles as faces, with 2 order–6 and 6 order–4 vertices. .
In the variant obtained as the dual of a uniform hexagonal prism, the side edges are exactly 2 times the length of the edges of the base hexagon. Each face has apex angle and base angles . If the base hexagon has edge length 1, its height is .
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- Hi.gher.Space Wiki Contributors. "Hexagonal bipyramid".