Английская Википедия:Compound of five cubohemioctahedra
| Compound of five cubohemioctahedra | |
|---|---|
| Файл:UC60-5 cubohemioctahedra.png | |
| Type | Uniform compound |
| Index | UC60 |
| Polyhedra | 5 cubohemioctahedra |
| Faces | 30 squares, 20 hexagons |
| Edges | 120 |
| Vertices | 60 |
| Symmetry group | icosahedral (Ih) |
| Subgroup restricting to one constituent | pyritohedral (Th) |
This uniform polyhedron compound is a composition of 5 cubohemioctahedra, in the same arrangement as in the compound of 5 cuboctahedra.
Filling
There is some controversy on how to colour the faces of this polyhedron compound. Although the common way to fill in a polygon is to just colour its whole interior, this can result in some filled regions hanging as membranes over empty space. Hence, the "neo filling" is sometimes used instead as a more accurate filling. In the neo filling, orientable polyhedra are filled traditionally, but non-orientable polyhedra have their faces filled with the modulo-2 method (only odd-density regions are filled in). In addition, overlapping regions of coplanar faces can cancel each other out.[1]
| Файл:UC60-5 cubohemioctahedra.png Traditional filling |
Файл:5 cubohemioctahedra neo filling.png "Neo filling" |
References
Further reading
