Biunpinched cube (EntityTopic, 13)
From Hi.gher. Space
The biunpinched cube is one of the non-CRF facets of CRF duals currently being studied by Keiji.
Incidence matrix
Dual: parabiorthotriangulated orthopinched triangular cupola
# | TXID | Va | Vb | Vc | Vd | Ve | Vf | Vg | Ea | Eb | Ec | Ed | Ee | Ef | Eg | Eh | Ei | 6a | 4a | 4b | 4c | 3a | Type | Name |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0 | Va | = point | ; | |||||||||||||||||||||
1 | Vb | = point | ; | |||||||||||||||||||||
2 | Vc | = point | ; | |||||||||||||||||||||
3 | Vd | = point | ; | |||||||||||||||||||||
4 | Ve | = point | ; | |||||||||||||||||||||
5 | Vf | = point | ; | |||||||||||||||||||||
6 | Vg | = point | ; | |||||||||||||||||||||
7 | Ea | 1 | 1 | 0 | 0 | 0 | 0 | 0 | = digon | ; | ||||||||||||||
8 | Eb | 1 | 0 | 1 | 0 | 0 | 0 | 0 | = digon | ; | ||||||||||||||
9 | Ec | 0 | 1 | 0 | 1 | 0 | 0 | 0 | = digon | ; | ||||||||||||||
10 | Ed | 0 | 0 | 1 | 1 | 0 | 0 | 0 | = digon | ; | ||||||||||||||
11 | Ee | 0 | 0 | 1 | 0 | 1 | 0 | 0 | = digon | ; | ||||||||||||||
12 | Ef | 0 | 0 | 0 | 1 | 0 | 1 | 0 | = digon | ; | ||||||||||||||
13 | Eg | 0 | 0 | 0 | 0 | 1 | 1 | 0 | = digon | ; | ||||||||||||||
14 | Eh | 0 | 0 | 0 | 0 | 1 | 0 | 1 | = digon | ; | ||||||||||||||
15 | Ei | 0 | 0 | 0 | 0 | 0 | 1 | 1 | = digon | ; | ||||||||||||||
16 | 6a | 1 | 0 | 2 | 0 | 2 | 0 | 1 | 0 | 2 | 0 | 0 | 2 | 0 | 0 | 2 | 0 | = hexagon | ; | |||||
17 | 4a | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | = square | ; | |||||
18 | 4b | 0 | 1 | 0 | 2 | 0 | 1 | 0 | 0 | 0 | 2 | 0 | 0 | 2 | 0 | 0 | 0 | = square | ; | |||||
19 | 4c | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | = square | ; | |||||
20 | 3a | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | = triangle | ; | |||||
21 | C1a | 1 | 1 | 2 | 2 | 2 | 1 | 1 | 1 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 1 | 1 | 2 | 1 | 2 | 2 | = biunpinched cube | ; |
Usage as facets
- 12× 1-facets of a (dual of triangular hebesphenorotundaeic rhombochoron)
- 12× 1-facets of a (dual of tetraaugmented triangular hebesphenorotundaeic rhombochoron)