Castellated rhodopantohedral prism (EntityTopic, 15)
From Hi.gher. Space
The castellated rhodopantohedral prism is a bilbirothawroid discovered by student91. It is a Stott-expanded variant of the castellated rhodoperihedral prism.
Projections
Centered on a rhodopantohedron:
Centered on a bilunabirotunda (J91):
Incidence matrix
Dual: D4.3.2 dual
# | TXID | Va | Vb | Vc | Ea | Eb | Ec | Ed | Ee | Ef | Eg | Eh | 4a | 6a | 10a | 3a | 4b | 3b | 3c | 4c | 5a | 4d | 5b | C1a | C2a | C3a | C4a | C5a | C5b | Type | Name |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0 | Va | = point | ; end | ||||||||||||||||||||||||||||
1 | Vb | = point | ; cross | ||||||||||||||||||||||||||||
2 | Vc | = point | ; mid | ||||||||||||||||||||||||||||
3 | Ea | 2 | 0 | 0 | = digon | ; 2-3 | |||||||||||||||||||||||||
4 | Eb | 2 | 0 | 0 | = digon | ; 2-5 | |||||||||||||||||||||||||
5 | Ec | 2 | 0 | 0 | = digon | ; 3-5 | |||||||||||||||||||||||||
6 | Ed | 1 | 1 | 0 | = digon | ; 3 diag | |||||||||||||||||||||||||
7 | Ee | 1 | 0 | 1 | = digon | ; 5 diag | |||||||||||||||||||||||||
8 | Ef | 0 | 2 | 0 | = digon | ; 3 horz | |||||||||||||||||||||||||
9 | Eg | 0 | 0 | 2 | = digon | ; 5 horz | |||||||||||||||||||||||||
10 | Eh | 0 | 0 | 2 | = digon | ; 5 vert | |||||||||||||||||||||||||
11 | 4a | 4 | 0 | 0 | 2 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | = square | ; 2 end | |||||||||||||||||
12 | 6a | 6 | 0 | 0 | 3 | 0 | 3 | 0 | 0 | 0 | 0 | 0 | = hexagon | ; 3 end | |||||||||||||||||
13 | 10a | 10 | 0 | 0 | 0 | 5 | 5 | 0 | 0 | 0 | 0 | 0 | = decagon | ; 5 end | |||||||||||||||||
14 | 3a | 2 | 1 | 0 | 1 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | = triangle | ; 3 diag | |||||||||||||||||
15 | 4b | 2 | 2 | 0 | 0 | 0 | 1 | 2 | 0 | 1 | 0 | 0 | = square | ; 3 diag | |||||||||||||||||
16 | 3b | 0 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 3 | 0 | 0 | = triangle | ; 3 horz | |||||||||||||||||
17 | 3c | 2 | 0 | 1 | 0 | 1 | 0 | 0 | 2 | 0 | 0 | 0 | = triangle | ; 5 diag | |||||||||||||||||
18 | 4c | 2 | 0 | 2 | 0 | 0 | 1 | 0 | 2 | 0 | 1 | 0 | = square | ; 5 diag | |||||||||||||||||
19 | 5a | 0 | 0 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | 5 | 0 | = pentagon | ; 5 horz | |||||||||||||||||
20 | 4d | 0 | 0 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 2 | = square | ; 3-5 vert | |||||||||||||||||
21 | 5b | 2 | 1 | 2 | 0 | 0 | 0 | 2 | 2 | 0 | 0 | 1 | = pentagon | ; 2-2 vert | |||||||||||||||||
22 | C1a | 120 | 0 | 0 | 60 | 60 | 60 | 0 | 0 | 0 | 0 | 0 | 30 | 20 | 12 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | = rhodopantohedron | ; | ||||||
23 | C2a | 8 | 2 | 4 | 4 | 4 | 0 | 8 | 8 | 0 | 0 | 2 | 2 | 0 | 0 | 4 | 0 | 0 | 4 | 0 | 0 | 0 | 4 | = bilunabirotunda | ; | ||||||
24 | C3a | 6 | 3 | 0 | 3 | 0 | 3 | 6 | 0 | 3 | 0 | 0 | 0 | 1 | 0 | 3 | 3 | 1 | 0 | 0 | 0 | 0 | 0 | = triangular cupola | ; | ||||||
25 | C4a | 10 | 0 | 5 | 0 | 5 | 5 | 0 | 10 | 0 | 5 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 5 | 5 | 1 | 0 | 0 | = pentagonal cupola | ; | ||||||
26 | C5a | 0 | 0 | 10 | 0 | 0 | 0 | 0 | 0 | 0 | 10 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 5 | 0 | = pentagonal prism | ; vert | ||||||
27 | C5b | 4 | 2 | 4 | 0 | 0 | 2 | 4 | 4 | 1 | 2 | 2 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | 2 | 0 | 1 | 2 | = pentagonal prism | ; horz | ||||||
28 | H4.1a | 240 | 60 | 120 | 120 | 120 | 120 | 240 | 240 | 60 | 120 | 60 | 60 | 40 | 24 | 120 | 120 | 20 | 120 | 120 | 24 | 60 | 120 | 2 | 30 | 40 | 24 | 12 | 60 | = castellated rhodopantohedral prism | ; |
Usage as facets
This polytope does not currently appear as facets in any higher-dimensional polytopes in the database.