Bilunabirotunda pseudopyramid (EntityTopic, 14)
From Hi.gher. Space
The bilunabirotunda pseudopyramid or J91 || digon is the first non-trivial, non-orbiform monostratic CRF polychoron to be discovered, and the first among the pseudopyramids. It was found by student91 on February 23, 2014.
Coordinates
J91:
<±1, 0, ±φ2, 0>
<±φ, ±1, ±1, 0>
<0, ±φ, 0, 0>
digon:
<0, 0, ±1, 1∕φ>
Incidence matrix
Dual: (dual of bilunabirotunda pseudopyramid)
# | TXID | Va | Vb | Vc | Vd | Ea | Eb | Ec | Ed | Ee | Ef | Eg | Eh | Ei | 3a | 3b | 4a | 5a | 4b | 3c | 3d | 3e | 3f | 3g | C1a | C2a | C3a | C4a | C5a | Type | Name |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0 | Va | = point | ; cuboid corners | ||||||||||||||||||||||||||||
1 | Vb | = point | ; crosses | ||||||||||||||||||||||||||||
2 | Vc | = point | ; ends | ||||||||||||||||||||||||||||
3 | Vd | = point | ; apices | ||||||||||||||||||||||||||||
4 | Ea | 2 | 0 | 0 | 0 | = digon | ; vertical cuboid | ||||||||||||||||||||||||
5 | Eb | 2 | 0 | 0 | 0 | = digon | ; horizontal cuboid | ||||||||||||||||||||||||
6 | Ec | 1 | 1 | 0 | 0 | = digon | ; cross-to-cuboid | ||||||||||||||||||||||||
7 | Ed | 1 | 0 | 1 | 0 | = digon | ; end-to-cuboid | ||||||||||||||||||||||||
8 | Ee | 0 | 0 | 2 | 0 | = digon | ; ends | ||||||||||||||||||||||||
9 | Ef | 0 | 0 | 0 | 2 | = digon | ; roof | ||||||||||||||||||||||||
10 | Eg | 1 | 0 | 0 | 1 | = digon | ; cuboid-to-apex | ||||||||||||||||||||||||
11 | Eh | 0 | 1 | 0 | 1 | = digon | ; cross-to-apex | ||||||||||||||||||||||||
12 | Ei | 0 | 0 | 1 | 1 | = digon | ; ends-to-apex | ||||||||||||||||||||||||
13 | 3a | 2 | 1 | 0 | 0 | 1 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | = triangle | ; cross | |||||||||||||||
14 | 3b | 2 | 0 | 1 | 0 | 0 | 1 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | = triangle | ; diagonals | |||||||||||||||
15 | 4a | 4 | 0 | 0 | 0 | 2 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | = square | ; cuboid end | |||||||||||||||
16 | 5a | 2 | 1 | 2 | 0 | 0 | 0 | 2 | 2 | 1 | 0 | 0 | 0 | 0 | = pentagon | ; | |||||||||||||||
17 | 4b | 2 | 0 | 0 | 2 | 1 | 0 | 0 | 0 | 0 | 1 | 2 | 0 | 0 | = square | ; vert-to-roof | |||||||||||||||
18 | 3c | 2 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | = triangle | ; horz-to-roof | |||||||||||||||
19 | 3d | 0 | 1 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 2 | 0 | = triangle | ; cross-to-roof | |||||||||||||||
20 | 3e | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | = triangle | ; diag-to-roof | |||||||||||||||
21 | 3f | 0 | 0 | 2 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 2 | = triangle | ; end-to-roof | |||||||||||||||
22 | 3g | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | = triangle | ; cross-cuboid-roof | |||||||||||||||
23 | C1a | 8 | 2 | 4 | 0 | 4 | 4 | 8 | 8 | 2 | 0 | 0 | 0 | 0 | 4 | 4 | 2 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | = bilunabirotunda | ; | |||||
24 | C2a | 2 | 1 | 0 | 2 | 1 | 0 | 2 | 0 | 0 | 1 | 2 | 2 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 2 | = square pyramid | ; | |||||
25 | C3a | 2 | 0 | 1 | 1 | 0 | 1 | 0 | 2 | 0 | 0 | 2 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 2 | 0 | 0 | = tetrahedron | ; | |||||
26 | C4a | 4 | 0 | 0 | 2 | 2 | 2 | 0 | 0 | 0 | 1 | 4 | 0 | 0 | 0 | 0 | 1 | 0 | 2 | 2 | 0 | 0 | 0 | 0 | = triangular prism | ; | |||||
27 | C5a | 2 | 1 | 2 | 1 | 0 | 0 | 2 | 2 | 1 | 0 | 2 | 1 | 2 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 2 | 1 | 2 | = pentagonal pyramid | ; | |||||
28 | H4.1a | 8 | 2 | 4 | 2 | 4 | 4 | 8 | 8 | 2 | 1 | 8 | 4 | 4 | 4 | 4 | 2 | 4 | 4 | 4 | 2 | 8 | 2 | 8 | 1 | 4 | 4 | 2 | 4 | = bilunabirotunda pseudopyramid | ; |
Usage as facets
This polytope does not currently appear as facets in any higher-dimensional polytopes in the database.