D4.11 (EntityTopic, 13)

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Revision as of 21:11, 23 March 2014 by Hayate (Talk | contribs)

D4.11 is a 4D CRF polychoron with 24 J91 cells in demitesseractic symmetry. It is related to D4.10 via a slight modification of its lace tower. Its cells are 8 stauromesohedra, 24 bilunabirotundae, 32 tridiminished icosahedra, 32+8=40 octahedra and 32+8=40 tetrahedra. Its faces are 96 pentagons, 48 squares and 32+96+32+32+96+96+32+32=448 triangles. It has 48+96+96+96+192+96=624 edges and 32+96+48=176 vertices.

Lace tower 

   x3o3o
   f3o3x
   o3x3f
   f3x3x
   x3F3o
   x3o3F
   F3x3o
   o3x3F
   F3o3x
   o3F3x
   x3x3f
   f3x3o
   x3o3f
   o3o3x

Projections

Centered on an axial tetrahedron:

(image)

Showing equatorial J91's:

(image)

Incidence matrix

Dual: D4.11 dual

#TXIDVaVbVcEaEbEcEdEeEf3a5a3b3c3d4a3e3f3g3hC1aC2aC3aC1bC4aC5aC5bTypeName
0 Va = point ;
1 Vb = point ;
2 Vc = point ;
3 Ea 200 = digon ;
4 Eb 110 = digon ;
5 Ec 020 = digon ;
6 Ed 020 = digon ;
7 Ee 011 = digon ;
8 Ef 002 = digon ;
9 3a 300300000 = triangle ;
10 5a 221120020 = pentagon ;
11 3b 120021000 = triangle ;
12 3c 030003000 = triangle ;
13 3d 030000300 = triangle ;
14 4a 040002200 = square ;
15 3e 012000021 = triangle ;
16 3f 021000120 = triangle ;
17 3g 003000003 = triangle ;
18 3h 003000003 = triangle ;
19 C1a 4006000004000000000 = tetrahedron ;
20 C2a 3333300631300003010 = tridiminished icosahedron ;
21 C3a 4822844800440020400 = bilunabirotunda ;
22 C1b 1300330000031000000 = tetrahedron ;
23 C4a 0120001212000004460000 = stauromesohedron ;
24 C5a 0330003630000103301 = octahedron ;
25 C5b 00600000120000000044 = octahedron ;
26 H4.1a 32964848969696192963296963232489696323283224328328 = D4.11 ;

Usage as facets

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

Software models

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