Blended Petrial tetrahedron
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| Blended Petrial tetrahedron | |
|---|---|
.gif) | |
| Rank | 3 |
| Dimension | 4 |
| Type | Regular |
| Notation | |
| Schläfli symbol | |
| Elements | |
| Faces | 6 skew squares |
| Edges | 12 |
| Vertices | 8 |
| Vertex figure | Triangle |
| Petrie polygons | 4 skew hexagons |
| Related polytopes | |
| Army | Tepe |
| Petrie dual | Blended tetrahedron |
| Convex hull | Tetrahedral prism |
| Abstract & topological properties | |
| Flag count | 48 |
| Euler characteristic | 2 |
| Schläfli type | {4,3} |
| Orientable | Yes |
| Genus | 0 |
| Properties | |
| Symmetry | A3×A1, order 48 |
| Convex | No |
| Dimension vector | (1,3,3) |
The blended Petrial tetrahedron s a regular skew polyhedron in 4D Euclidean space. It is the result of blending a Petrial tetrahedron with a dyad. It is abstractly equivalent to the cube.
Vertex coordinates[edit | edit source]
The vertex coordinates for the blended Petrial tetrahedron are the same as those of the blended tetrahedron.
Related polytopes[edit | edit source]
The blended Petrial tetrahedron is one of two realizations of the cube in 4-dimensional space. The other is the blended cube.
In four dimensions it is the kappa of the tetrahedron.
External links[edit | edit source]
- Hartley, Michael. "{4,3}*48".