Diminished triaugmented truncated icosahedron (near-miss)
Jump to navigation
Jump to search
| Diminished triaugmented truncated icosahedron (near-miss) | |
|---|---|
 | |
| Rank | 3 |
| Type | Near-miss |
| Elements | |
| Faces | 1 penta-symmetric pentadecagon, 5 hexagons, 5+1 pentagons, 5 isosceles triangles, 10 scalene triangles |
| Edges | 10+5+5+5+10+5+10+10 |
| Vertices | 10+5+10+5+5 |
| Vertex figures | 10 scalene triangle |
| 5 Isosceles trapezoid | |
| 10 quadrilateral | |
| 5 Isosceles triangle | |
| 5 Isosceles triangle | |
| Measures (edge length 1) | |
| Edge length ratio | 1.05261 |
| Central density | 1 |
| Number of external pieces | 27 |
| Related polytopes | |
| Conjugate | None |
| Abstract & topological properties | |
| Euler characteristic | 2 |
| Surface | Sphere |
| Orientable | Yes |
| Genus | 0 |
| Properties | |
| Symmetry | H2×I |
| Convex | Yes |
| Nature | Tame |
The Diminished triaugmented truncated icosahedron is a near-miss Johnson solid. Its faces are 5 hexagons, 5+1 pentagons, 10 scalene triangles, 5 isosceles triangles and 1 pentadecagon that has symmetry of a regular pentagon
