Compound of five tetrahemihexahedra
A compound of five tetrahemihexahedra is a uniform polyhedron compound and a symmetric arrangement of five tetrahemihexahedra. It is chiral with icosahedral symmetry (I).
Compound of five tetrahemihexahedra | |
---|---|
![]() | |
Type | Uniform compound |
Index | UC18 |
Polyhedra | 5 tetrahemihexahedra |
Faces | 20 triangles, 15 squares |
Edges | 60 |
Vertices | 30 |
Symmetry group | chiral icosahedral (I) |
Subgroup restricting to one constituent | chiral tetrahedral (T) |
Related polyhedra
![](../I/m/5_thah_in_icosidodecahedron.png)
Five tetrahemihexahedra in an icosidodecahedron
Its convex hull is an icosidodecahedron. Hence it is a faceting of an icosidodecahedron, shown at left. It shares its edges and triangular faces with the compound of five octahedra.
![]() Icosidodecahedron |
![]() Compound of five octahedra |
![]() Compound of five tetrahemihexahedra |
gollark: However, not all of it is used on a monitor at a time.
gollark: I am aware.
gollark: <@151391317740486657> Idea: join SCCraft™ and visit the Apiaristics Division™.
gollark: I suppose they are good if you have a *really big* display to replace several lower-resolution monitors.
gollark: I don't, obviously, but I don't think I could resolve much more detail than my 1080p laptop screen displays at its size.
References
- Skilling, John (1976), "Uniform Compounds of Uniform Polyhedra", Mathematical Proceedings of the Cambridge Philosophical Society, 79: 447–457, doi:10.1017/S0305004100052440, MR 0397554.
This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.