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:

(image)

Centered on a bilunabirotunda (J91):

(image)

Incidence matrix

Dual: D4.3.2 dual

#TXIDVaVbVcEaEbEcEdEeEfEgEh4a6a10a3a4b3b3c4c5a4d5bC1aC2aC3aC4aC5aC5bTypeName
0 Va = point ; end
1 Vb = point ; cross
2 Vc = point ; mid
3 Ea 200 = digon ; 2-3
4 Eb 200 = digon ; 2-5
5 Ec 200 = digon ; 3-5
6 Ed 110 = digon ; 3 diag
7 Ee 101 = digon ; 5 diag
8 Ef 020 = digon ; 3 horz
9 Eg 002 = digon ; 5 horz
10 Eh 002 = digon ; 5 vert
11 4a 40022000000 = square ; 2 end
12 6a 60030300000 = hexagon ; 3 end
13 10a 100005500000 = decagon ; 5 end
14 3a 21010020000 = triangle ; 3 diag
15 4b 22000120100 = square ; 3 diag
16 3b 03000000300 = triangle ; 3 horz
17 3c 20101002000 = triangle ; 5 diag
18 4c 20200102010 = square ; 5 diag
19 5a 00500000050 = pentagon ; 5 horz
20 4d 00400000022 = square ; 3-5 vert
21 5b 21200022001 = pentagon ; 2-2 vert
22 C1a 120006060600000030201200000000 = rhodopantohedron ;
23 C2a 8244408800220040040004 = bilunabirotunda ;
24 C3a 6303036030001033100000 = triangular cupola ;
25 C4a 100505501005000100055100 = pentagonal cupola ;
26 C5a 001000000010500000000250 = pentagonal prism ; vert
27 C5b 4240024412200002002012 = pentagonal prism ; horz
28 H4.1a 24060120120120120240240601206060402412012020120120246012023040241260 = castellated rhodopantohedral prism ;

Usage as facets

This polytope does not currently appear as facets in any higher-dimensional polytopes in the database.

Software models