D4.11 (EntityTopic, 13)
From Hi.gher. Space
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<[#embed [hash NYS0YGRQK2EPRFBRG0Q7RHX93V]]> | <[#embed [hash NYS0YGRQK2EPRFBRG0Q7RHX93V]]> | ||
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| + | <[#polytope [id 99]]> | ||
== Software models == | == Software models == | ||
*[[Polyview]] [http://hddb.teamikaria.com/dl/X165AXK85PM8WPB5FD4ERWPK0E.def .def file] | *[[Polyview]] [http://hddb.teamikaria.com/dl/X165AXK85PM8WPB5FD4ERWPK0E.def .def file] | ||
*[[Stella4D]] [http://hddb.teamikaria.com/dl/K62PGE75VEXAWWC4HBX1PKH6Q8.off .off file] | *[[Stella4D]] [http://hddb.teamikaria.com/dl/K62PGE75VEXAWWC4HBX1PKH6Q8.off .off file] | ||
Revision as of 18:27, 23 March 2014
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.
Lace tower
x3o3o f3o3x o3x3f f3x3x x3F3o x3o3F F3x3o o3x3F F3o3x o3F3x x3x3f f3x3o x3o3f o3o3x
Projections
Centered on an axial tetrahedron:
Showing equatorial J91's:
Incidence matrix
Dual: D4.11 dual
| # | TXID | Va | Vb | Vc | Ea | Eb | Ec | Ed | Ee | Ef | 3a | 5a | 3b | 3c | 3d | 4a | 3e | 3f | 3g | 3h | C1a | C2a | C3a | C1b | C4a | C5a | C5b | Type | Name |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | Va | = point | ; | ||||||||||||||||||||||||||
| 1 | Vb | = point | ; | ||||||||||||||||||||||||||
| 2 | Vc | = point | ; | ||||||||||||||||||||||||||
| 3 | Ea | 2 | 0 | 0 | = digon | ; | |||||||||||||||||||||||
| 4 | Eb | 1 | 1 | 0 | = digon | ; | |||||||||||||||||||||||
| 5 | Ec | 0 | 2 | 0 | = digon | ; | |||||||||||||||||||||||
| 6 | Ed | 0 | 2 | 0 | = digon | ; | |||||||||||||||||||||||
| 7 | Ee | 0 | 1 | 1 | = digon | ; | |||||||||||||||||||||||
| 8 | Ef | 0 | 0 | 2 | = digon | ; | |||||||||||||||||||||||
| 9 | 3a | 3 | 0 | 0 | 3 | 0 | 0 | 0 | 0 | 0 | = triangle | ; | |||||||||||||||||
| 10 | 5a | 2 | 2 | 1 | 1 | 2 | 0 | 0 | 2 | 0 | = pentagon | ; | |||||||||||||||||
| 11 | 3b | 1 | 2 | 0 | 0 | 2 | 1 | 0 | 0 | 0 | = triangle | ; | |||||||||||||||||
| 12 | 3c | 0 | 3 | 0 | 0 | 0 | 3 | 0 | 0 | 0 | = triangle | ; | |||||||||||||||||
| 13 | 3d | 0 | 3 | 0 | 0 | 0 | 0 | 3 | 0 | 0 | = triangle | ; | |||||||||||||||||
| 14 | 4a | 0 | 4 | 0 | 0 | 0 | 2 | 2 | 0 | 0 | = square | ; | |||||||||||||||||
| 15 | 3e | 0 | 1 | 2 | 0 | 0 | 0 | 0 | 2 | 1 | = triangle | ; | |||||||||||||||||
| 16 | 3f | 0 | 2 | 1 | 0 | 0 | 0 | 1 | 2 | 0 | = triangle | ; | |||||||||||||||||
| 17 | 3g | 0 | 0 | 3 | 0 | 0 | 0 | 0 | 0 | 3 | = triangle | ; | |||||||||||||||||
| 18 | 3h | 0 | 0 | 3 | 0 | 0 | 0 | 0 | 0 | 3 | = triangle | ; | |||||||||||||||||
| 19 | C1a | 4 | 0 | 0 | 6 | 0 | 0 | 0 | 0 | 0 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | = tetrahedron | ; | |||||||
| 20 | C2a | 3 | 3 | 3 | 3 | 3 | 0 | 0 | 6 | 3 | 1 | 3 | 0 | 0 | 0 | 0 | 3 | 0 | 1 | 0 | = tridiminished icosahedron | ; | |||||||
| 21 | C3a | 4 | 8 | 2 | 2 | 8 | 4 | 4 | 8 | 0 | 0 | 4 | 4 | 0 | 0 | 2 | 0 | 4 | 0 | 0 | = bilunabirotunda | ; | |||||||
| 22 | C1b | 1 | 3 | 0 | 0 | 3 | 3 | 0 | 0 | 0 | 0 | 0 | 3 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | = tetrahedron | ; | |||||||
| 23 | C4a | 0 | 12 | 0 | 0 | 0 | 12 | 12 | 0 | 0 | 0 | 0 | 0 | 4 | 4 | 6 | 0 | 0 | 0 | 0 | = stauromesohedron | ; | |||||||
| 24 | C5a | 0 | 3 | 3 | 0 | 0 | 0 | 3 | 6 | 3 | 0 | 0 | 0 | 0 | 1 | 0 | 3 | 3 | 0 | 1 | = octahedron | ; | |||||||
| 25 | C5b | 0 | 0 | 6 | 0 | 0 | 0 | 0 | 0 | 12 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 4 | 4 | = octahedron | ; | |||||||
| 26 | H4.1a | 32 | 96 | 48 | 48 | 96 | 96 | 96 | 192 | 96 | 32 | 96 | 96 | 32 | 32 | 48 | 96 | 96 | 32 | 32 | 8 | 32 | 24 | 32 | 8 | 32 | 8 | = D4.11 | ; |
Usage as facets
This polytope does not currently appear as facets in any higher-dimensional polytopes in the database.
