Triangular hebesphenorotundaeic rhombochoron (EntityTopic, 15)

From Hi.gher. Space

(Redirected from CJ4.4)

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

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Incidence matrix

Dual: (dual of triangular hebesphenorotundaeic rhombochoron)

#TXIDVaVbVcVdVeEaEbEcEdEeEfEgEhEiEjEkElEmEn3a5a3b3c4a4b3d4c3e3f3g3h3i3j3k5b3l3m6aC1aC2aC3aC4aC5aC5bC5cC6aTypeName
0 Va = point ; red
1 Vb = point ; orange
2 Vc = point ; green
3 Vd = point ; blue
4 Ve = point ; purple
5 Ea 20000 = digon ; rr
6 Eb 11000 = digon ; ro
7 Ec 02000 = digon ; oo horz
8 Ed 02000 = digon ; oo vert
9 Ee 01100 = digon ; og rad
10 Ef 01100 = digon ; og orb
11 Eg 01010 = digon ; ob rad
12 Eh 01010 = digon ; ob orb
13 Ei 01001 = digon ; op
14 Ej 00200 = digon ; gg orange
15 Ek 00200 = digon ; gg blue
16 El 00110 = digon ; gb
17 Em 00011 = digon ; bp
18 En 00002 = digon ; pp
19 3a 3000030000000000000 = triangle ; rrr
20 5a 2201012000002000000 = pentagon ; rroob
21 3b 1200002100000000000 = triangle ; roo horz
22 3c 1200002010000000000 = triangle ; roo vert
23 4a 0400000220000000000 = square ; oooo
24 4b 0220000102000001000 = square ; oogg
25 3d 0201000100020000000 = triangle ; oob
26 4c 0200200100000200001 = square ; oopp
27 3e 0210000012000000000 = triangle ; oog rad
28 3f 0210000010200000000 = triangle ; oog orb
29 3g 0120000001100010000 = triangle ; ogg
30 3h 0111000001010000100 = triangle ; ogb rad
31 3i 0111000000101000100 = triangle ; ogb orb
32 3j 0101100000010100010 = triangle ; obp rad
33 3k 0101100000001100010 = triangle ; obp orb
34 5b 0022100000000010220 = pentagon ; ggbbp
35 3l 0021000000000001200 = triangle ; ggb
36 3m 0001200000000000021 = triangle ; bpp
37 6a 0000600000000000006 = hexagon ; pppppp
38 C1a 36036363000066000661330000300000060031 = triangular hebesphenorotunda ;
39 C2a 24220140204040014000202000002004000200 = metabidiminished icosahedron ;
40 C3a 04200002240000010000000120020000000000 = triangular prism ;
41 C4a 01221000011111102200000000000111111000 = pentagonal pyramid ;
42 C5a 14000042200000000000022100000000000000 = square pyramid ; roooo
43 C5b 02210001020200012000000011000020000100 = square pyramid ; ooggb
44 C5c 02012001000202000210000001100000200010 = square pyramid ; oobpp
45 C6a 02200000122000100000000000011200000000 = tetrahedron ;
46 H4.1a 624121212624121224242424246624241221212126121212121224242424241212122466246121212 = 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: pyrochoronaerochorongeochoronxylochoronhydrochoroncosmochoron
Powertopes: triangular octagoltriatesquare octagoltriatehexagonal octagoltriateoctagonal octagoltriate
Circular: glomecubinderduocylinderspherindersphonecylindronediconeconinder
Torii: tigertorispherespheritorustorinderditorus