Icositetrahedron
With icositetrahedron one generally designates a polyhedron whose surface is composed of 24 flat polygons. In practice, only the deltoidalikositetrahedron , which is used in mineralogy and has special symmetries, is of major importance .
Types
| designation | composition | Number of corners | Number of edges | image |
|---|---|---|---|---|
| Deltoidal icositetrahedron | 24 kite squares | 26th | 48 edges. |
|
| Tetrakis hexahedron | 24 triangles | 14th | 36 |
|
| Triakis octahedron | 24 triangles | 14th | 36 |
|
| Pentagonikositetrahedron | 24 pentagons | 38 | 60 |
|
| threefold expanded dodecahedron | 15 triangles and 9 pentagons | 23 | 45 |
|
| Disphenocingulum | 20 equilateral triangles and 4 squares | 16 | 38 |
|