Triangular hebesphenorotundaeic rhombochoron (EntityTopic, 15)

From Hi.gher. Space

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== Additional images ==
== Additional images ==
<[#box [id 24] [width 720] [height 480]]>
<[#box [id 24] [width 720] [height 480]]>
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<[#polytope [id 115]]>
== Software models ==
== Software models ==

Revision as of 16:19, 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

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Incidence matrix

Dual: triangular hebesphenorotundaeic rhombochoron

#TXIDVaVbVcVdVeVfVgVhEaEbEcEdEeEfEgEhEiEjEkElEmEnEoEpEqErEs3a4a4b4c6a3b3c3d3e4d4e5a3f3gC1aC2aC3aC4aC5aTypeName
0 Va = point ;
1 Vb = point ;
2 Vc = point ;
3 Vd = point ;
4 Ve = point ;
5 Vf = point ;
6 Vg = point ;
7 Vh = point ;
8 Ea 00000002 = digon ;
9 Eb 01000001 = digon ;
10 Ec 00100010 = digon ;
11 Ed 00002000 = digon ;
12 Ee 00001001 = digon ;
13 Ef 01001000 = digon ;
14 Eg 00001010 = digon ;
15 Eh 00101000 = digon ;
16 Ei 10001000 = digon ;
17 Ej 10000010 = digon ;
18 Ek 10000100 = digon ;
19 El 01000001 = digon ;
20 Em 01100000 = digon ;
21 En 00100100 = digon ;
22 Eo 00010100 = digon ;
23 Ep 00010010 = digon ;
24 Eq 00010001 = digon ;
25 Er 00000011 = digon ;
26 Es 00000002 = digon ;
27 3a 010000021100000000010000000 = triangle ;
28 4a 010020010101110000000000000 = square ;
29 4b 001020100011001100000000000 = square ;
30 4c 002001100020000000000200000 = square ;
31 6a 200040000002000040000000000 = hexagon ;
32 3b 010010010000110000010000000 = triangle ;
33 3c 000010110000101000000000010 = triangle ;
34 3d 011010000000010100001000000 = triangle ;
35 3e 100010100000001011000000000 = triangle ;
36 4d 101011000000000110100100000 = square ;
37 4e 100101100000000001100011000 = square ;
38 5a 011101010000000000011110100 = pentagon ;
39 3f 000100110000000000000001110 = triangle ;
40 3g 000000120000000000000000021 = triangle ;
41 C1a 02002002120122000002000000022000200000000 = triangulated triangular prism ;
42 C2a 01104011011222220000100001002200022000000 = parabiorthotriangulated cube ;
43 C3a 20204110002200224110020000000211000220000 = biunpinched cube ;
44 C4a 11111111000011111111111111000000111111110 = triangulated pinched triangular cupola ;
45 C5a 00010022000000000000000224100000000000042 = triangular bipyramid ;
46 H4.1a 121212624664212121224242424241212121212612121221224246624242424241212246121212246 = (dual of 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
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