Skewed wedge
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| Skewed wedge | |
|---|---|
 | |
| Rank | 3 |
| Notation | |
| Coxeter diagram | xxx&#x |
| Elements | |
| Faces | 2 scalene triangles, 1+1+1 isosceles trapezoids |
| Edges | 1+1+1+2+2+2 |
| Vertices | 2+2+2 |
| Vertex figure | 2+2+2 scalene triangles |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Scalene notch |
| Abstract & topological properties | |
| Euler characteristic | 2 |
| Surface | Sphere |
| Orientable | Yes |
| Genus | 0 |
| Properties | |
| Symmetry | A1×I×I, order 2 |
| Convex | Yes |
| Nature | Tame |
A skewed wedge is a variation on the standard wedge with the isosceles triangles being turned into scalene triangles. It therefore has 2 identical scalene triangles and 3 different trapezoids as faces.
In vertex figures[edit | edit source]
Four uniform polychora have skewed wedges for vertex figures, namely the small skewverted prismatohexadecadisoctachoron, great skewverted hexacositrishecatonicosachoron, small skewverted prismatotrishecatonicosachoron, and small skewverted ditrigonal prismatohexacosidishecatonicosachoron.