Triangular hebesphenorotundaeic rhombochoron (EntityTopic, 15)
From Hi.gher. Space
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Latest revision as of 20:20, 29 March 2014
The triangular hebesphenorotundaeic rhombochoron is a bilbirothawroid discovered by Quickfur on February 6, 2014 based on a suggestion given by student91 after a previous failed attempt to construct a CRF with similar cells.
Its cells are four triangular hebesphenorotundae (J92), 6 metabidiminished icosahedra (J62), 6 triangular prisms, 24 pentagonal pyramids, 30 square pyramids, and 12 tetrahedra.
The J92 cells are at 60°/120° dichoral angles to each other.
It may be augmented with triangular hebesphenorotunda pseudopyramids to form the tetraaugmented triangular hebesphenorotundaeic rhombochoron.
Additional images
Incidence matrix
Dual: (dual of triangular hebesphenorotundaeic rhombochoron)
# | TXID | Va | Vb | Vc | Vd | Ve | Ea | Eb | Ec | Ed | Ee | Ef | Eg | Eh | Ei | Ej | Ek | El | Em | En | 3a | 5a | 3b | 3c | 4a | 4b | 3d | 4c | 3e | 3f | 3g | 3h | 3i | 3j | 3k | 5b | 3l | 3m | 6a | C1a | C2a | C3a | C4a | C5a | C5b | C5c | C6a | Type | Name |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0 | Va | = point | ; red | ||||||||||||||||||||||||||||||||||||||||||||||
1 | Vb | = point | ; orange | ||||||||||||||||||||||||||||||||||||||||||||||
2 | Vc | = point | ; green | ||||||||||||||||||||||||||||||||||||||||||||||
3 | Vd | = point | ; blue | ||||||||||||||||||||||||||||||||||||||||||||||
4 | Ve | = point | ; purple | ||||||||||||||||||||||||||||||||||||||||||||||
5 | Ea | 2 | 0 | 0 | 0 | 0 | = digon | ; rr | |||||||||||||||||||||||||||||||||||||||||
6 | Eb | 1 | 1 | 0 | 0 | 0 | = digon | ; ro | |||||||||||||||||||||||||||||||||||||||||
7 | Ec | 0 | 2 | 0 | 0 | 0 | = digon | ; oo horz | |||||||||||||||||||||||||||||||||||||||||
8 | Ed | 0 | 2 | 0 | 0 | 0 | = digon | ; oo vert | |||||||||||||||||||||||||||||||||||||||||
9 | Ee | 0 | 1 | 1 | 0 | 0 | = digon | ; og rad | |||||||||||||||||||||||||||||||||||||||||
10 | Ef | 0 | 1 | 1 | 0 | 0 | = digon | ; og orb | |||||||||||||||||||||||||||||||||||||||||
11 | Eg | 0 | 1 | 0 | 1 | 0 | = digon | ; ob rad | |||||||||||||||||||||||||||||||||||||||||
12 | Eh | 0 | 1 | 0 | 1 | 0 | = digon | ; ob orb | |||||||||||||||||||||||||||||||||||||||||
13 | Ei | 0 | 1 | 0 | 0 | 1 | = digon | ; op | |||||||||||||||||||||||||||||||||||||||||
14 | Ej | 0 | 0 | 2 | 0 | 0 | = digon | ; gg orange | |||||||||||||||||||||||||||||||||||||||||
15 | Ek | 0 | 0 | 2 | 0 | 0 | = digon | ; gg blue | |||||||||||||||||||||||||||||||||||||||||
16 | El | 0 | 0 | 1 | 1 | 0 | = digon | ; gb | |||||||||||||||||||||||||||||||||||||||||
17 | Em | 0 | 0 | 0 | 1 | 1 | = digon | ; bp | |||||||||||||||||||||||||||||||||||||||||
18 | En | 0 | 0 | 0 | 0 | 2 | = digon | ; pp | |||||||||||||||||||||||||||||||||||||||||
19 | 3a | 3 | 0 | 0 | 0 | 0 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | = triangle | ; rrr | |||||||||||||||||||||||||||
20 | 5a | 2 | 2 | 0 | 1 | 0 | 1 | 2 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | = pentagon | ; rroob | |||||||||||||||||||||||||||
21 | 3b | 1 | 2 | 0 | 0 | 0 | 0 | 2 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | = triangle | ; roo horz | |||||||||||||||||||||||||||
22 | 3c | 1 | 2 | 0 | 0 | 0 | 0 | 2 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | = triangle | ; roo vert | |||||||||||||||||||||||||||
23 | 4a | 0 | 4 | 0 | 0 | 0 | 0 | 0 | 2 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | = square | ; oooo | |||||||||||||||||||||||||||
24 | 4b | 0 | 2 | 2 | 0 | 0 | 0 | 0 | 1 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | = square | ; oogg | |||||||||||||||||||||||||||
25 | 3d | 0 | 2 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | = triangle | ; oob | |||||||||||||||||||||||||||
26 | 4c | 0 | 2 | 0 | 0 | 2 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 1 | = square | ; oopp | |||||||||||||||||||||||||||
27 | 3e | 0 | 2 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | = triangle | ; oog rad | |||||||||||||||||||||||||||
28 | 3f | 0 | 2 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | = triangle | ; oog orb | |||||||||||||||||||||||||||
29 | 3g | 0 | 1 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | = triangle | ; ogg | |||||||||||||||||||||||||||
30 | 3h | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | = triangle | ; ogb rad | |||||||||||||||||||||||||||
31 | 3i | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | = triangle | ; ogb orb | |||||||||||||||||||||||||||
32 | 3j | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | = triangle | ; obp rad | |||||||||||||||||||||||||||
33 | 3k | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | = triangle | ; obp orb | |||||||||||||||||||||||||||
34 | 5b | 0 | 0 | 2 | 2 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 2 | 2 | 0 | = pentagon | ; ggbbp | |||||||||||||||||||||||||||
35 | 3l | 0 | 0 | 2 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 2 | 0 | 0 | = triangle | ; ggb | |||||||||||||||||||||||||||
36 | 3m | 0 | 0 | 0 | 1 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 1 | = triangle | ; bpp | |||||||||||||||||||||||||||
37 | 6a | 0 | 0 | 0 | 0 | 6 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 6 | = hexagon | ; pppppp | |||||||||||||||||||||||||||
38 | C1a | 3 | 6 | 0 | 3 | 6 | 3 | 6 | 3 | 0 | 0 | 0 | 0 | 6 | 6 | 0 | 0 | 0 | 6 | 6 | 1 | 3 | 3 | 0 | 0 | 0 | 0 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 6 | 0 | 0 | 3 | 1 | = triangular hebesphenorotunda | ; | ||||||||
39 | C2a | 2 | 4 | 2 | 2 | 0 | 1 | 4 | 0 | 2 | 0 | 4 | 0 | 4 | 0 | 0 | 1 | 4 | 0 | 0 | 0 | 2 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | 4 | 0 | 0 | 0 | 2 | 0 | 0 | = metabidiminished icosahedron | ; | ||||||||
40 | C3a | 0 | 4 | 2 | 0 | 0 | 0 | 0 | 2 | 2 | 4 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 2 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | = triangular prism | ; | ||||||||
41 | C4a | 0 | 1 | 2 | 2 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 2 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | = pentagonal pyramid | ; | ||||||||
42 | C5a | 1 | 4 | 0 | 0 | 0 | 0 | 4 | 2 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 2 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | = square pyramid | ; roooo | ||||||||
43 | C5b | 0 | 2 | 2 | 1 | 0 | 0 | 0 | 1 | 0 | 2 | 0 | 2 | 0 | 0 | 0 | 1 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | = square pyramid | ; ooggb | ||||||||
44 | C5c | 0 | 2 | 0 | 1 | 2 | 0 | 0 | 1 | 0 | 0 | 0 | 2 | 0 | 2 | 0 | 0 | 0 | 2 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | 0 | 1 | 0 | = square pyramid | ; oobpp | ||||||||
45 | C6a | 0 | 2 | 2 | 0 | 0 | 0 | 0 | 0 | 1 | 2 | 2 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | = tetrahedron | ; | ||||||||
46 | H4.1a | 6 | 24 | 12 | 12 | 12 | 6 | 24 | 12 | 12 | 24 | 24 | 24 | 24 | 24 | 6 | 6 | 24 | 24 | 12 | 2 | 12 | 12 | 12 | 6 | 12 | 12 | 12 | 12 | 12 | 24 | 24 | 24 | 24 | 24 | 12 | 12 | 12 | 2 | 4 | 6 | 6 | 24 | 6 | 12 | 12 | 12 | = triangular hebesphenorotundaeic rhombochoron | ; |
Usage as facets
This polytope does not currently appear as facets in any higher-dimensional polytopes in the database.
Software models
Notable Tetrashapes | |
Regular: | pyrochoron • aerochoron • geochoron • xylochoron • hydrochoron • cosmochoron |
Powertopes: | triangular octagoltriate • square octagoltriate • hexagonal octagoltriate • octagonal octagoltriate |
Circular: | glome • cubinder • duocylinder • spherinder • sphone • cylindrone • dicone • coninder |
Torii: | tiger • torisphere • spheritorus • torinder • ditorus |