Blended hexagonal tiling
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|Blended hexagonal tiling|
|Faces||N skew hexagons|
|Vertex figure||Triangle, 0 < edge length <|
|Abstract & topological properties|
The blended hexagonal tiling is a regular skew polyhedron consisting of an infinite amount of skew hexagons, with 3 at a vertex. It can be obtained as the blend of a line segment and a hexagonal tiling, and so it has a Schlafli symbol of . It is abstractly identical to the hexagonal tiling. Just like the skew hexagon, the blended hexagonal tiling can vary in height but it is considered one polyhedron.
Vertex coordinates[edit | edit source]
The vertex coordinates of a blended hexagonal tiling centered at the origin with edge length 1 and height h are
where i and j range over the integers, and .
References[edit | edit source]
- jan Misali (2020). "there are 48 regular polyhedra"
- McMullen, Peter; Schulte, Egon (1997). "Regular Polytopes in Ordinary Space". Discrete Computational Geometry. 17: 449–478.