Petrial blended triangular tiling
|Petrial blended triangular tiling|
|Schläfli symbol|| |
|Petrie polygons||Skew triangles|
|Army||Hexagonal tiling prism|
|Regiment||Blended triangular tiling|
|Petrie dual||Blended triangular tiling|
|Abstract & topological properties|
The petrial blended triangular tiling is a regular skew apeirohedron. It can be constructed as the blend of the petrial triangular tiling with a digon or as the petrial of the blended triangular tiling.
Vertex coordinates[edit | edit source]
The vertex coordinates of a petrial blended triangular tiling are the same as those of the blended triangular tiling. With edge length 1 and height h, the verteix coordinates are given by
where i and j range over the integers, and H is (Note that must always be true for H to be a real number and for the blend to be non-degenerate).
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.