Metabidiminished icosahedron (EntityTopic, 10)
From Hi.gher. Space
The metabidiminished icosahedron is the 62nd Johnson solid, J62.
Incidence matrix
Dual: (dual of metabidiminished icosahedron)
| # | TXID | Va | Vb | Vc | Vd | Ea | Eb | Ec | Ed | Ee | Ef | Eg | 5a | 3a | 3b | 3c | 3d | Type | Name |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | Va | = point | ; red | ||||||||||||||||
| 1 | Vb | = point | ; orange | ||||||||||||||||
| 2 | Vc | = point | ; green | ||||||||||||||||
| 3 | Vd | = point | ; blue | ||||||||||||||||
| 4 | Ea | 2 | 0 | 0 | 0 | = digon | ; rr | ||||||||||||
| 5 | Eb | 1 | 1 | 0 | 0 | = digon | ; ro | ||||||||||||
| 6 | Ec | 0 | 2 | 0 | 0 | = digon | ; oo | ||||||||||||
| 7 | Ed | 0 | 1 | 1 | 0 | = digon | ; og | ||||||||||||
| 8 | Ee | 0 | 1 | 0 | 1 | = digon | ; ob | ||||||||||||
| 9 | Ef | 0 | 0 | 2 | 0 | = digon | ; gg | ||||||||||||
| 10 | Eg | 0 | 0 | 1 | 1 | = digon | ; gb | ||||||||||||
| 11 | 5a | 2 | 2 | 0 | 1 | 1 | 2 | 0 | 0 | 2 | 0 | 0 | = pentagon | ; rroob | |||||
| 12 | 3a | 1 | 2 | 0 | 0 | 0 | 2 | 1 | 0 | 0 | 0 | 0 | = triangle | ; roo | |||||
| 13 | 3b | 0 | 2 | 1 | 0 | 0 | 0 | 1 | 2 | 0 | 0 | 0 | = triangle | ; oog | |||||
| 14 | 3c | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | = triangle | ; ogb | |||||
| 15 | 3d | 0 | 0 | 2 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 2 | = triangle | ; ggb | |||||
| 16 | C1a | 2 | 4 | 2 | 2 | 1 | 4 | 2 | 4 | 4 | 1 | 4 | 2 | 2 | 2 | 4 | 2 | = metabidiminished icosahedron | ; |
Usage as facets
- 3× 1-facets of a D4.16
- 6× 1-facets of a triangular hebesphenorotundaeic rhombochoron
| Notable Trishapes | |
| Regular: | tetrahedron • cube • octahedron • dodecahedron • icosahedron |
| Direct truncates: | tetrahedral truncate • cubic truncate • octahedral truncate • dodecahedral truncate • icosahedral truncate |
| Mesotruncates: | stauromesohedron • stauroperihedron • stauropantohedron • rhodomesohedron • rhodoperihedron • rhodopantohedron |
| Snubs: | snub staurohedron • snub rhodohedron |
| Curved: | sphere • torus • cylinder • cone • frustum • crind |
