Skewed Petrial muoctahedron
|Skewed Petrial muoctahedron|
|Faces||2N skew hexagons|
|Petrie polygons||2N skew hexagons|
|Dual||Petrial halved mucube|
|Petrie dual||Skewed Petrial muoctahedron|
|Abstract & topological properties|
The skewed Petrial muoctahedron is a regular skew polyhedron in 3-dimensional Euclidean space. It can be constructed as the skewing of the Petrial muoctahedron, or as the dual of the Petrial halved mucube.
Vertex coordinates[edit | edit source]
The vertex coordinates of a skewed Petrial muoctahedron with unit edge length can be given as:
where two or more of i , j and k are odd.
Gallery[edit | edit source]
A vertex of the skewed Petrial muoctahedron (red) and all adjacent faces. Each face is shown with transparent membrane to assist in depth perception.
[edit | edit source]
- jan Misali (2020). "there are 48 regular polyhedra".
Bibliography[edit | edit source]
- McMullen, Peter; Schulte, Egon (1997). "Regular Polytopes in Ordinary Space" (PDF). Discrete Computational Geometry (47): 449–478. doi:10.1007/PL00009304.