D4.8.1 (EntityTopic, 16)
From Hi.gher. Space
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| - | <[#ontology [kind topic] [cats | + | <[#ontology [kind topic] [cats D4.8.x]]> |
{{STS Shape | {{STS Shape | ||
| dim=4 | | dim=4 | ||
| extra={{STS Polytope | | extra={{STS Polytope | ||
}}}} | }}}} | ||
| - | + | '''D4.8.1''' is a [[bilbirothawroid]] constructed from a tetrahedron-centered patch of the [[rectified 120-cell]]'s surface. It consists of 4 [[triangular hebesphenorotunda|J92]]'s, 12 [[square pyramid]]s, 12 [[pentagonal pyramid]]s, 1+4+12=17 [[tetrahedra]], 1+4+4=9 [[octahedra]], 6 [[J91]]'s, 4 [[triangular cupola]]e, and 4 [[tridiminished icosahedra]]. Total: 68 cells, 250 polygons, 258 edges, 76 vertices. | |
| - | == | + | == Structure == |
| + | The lace tower of this polychoron is: | ||
| + | <pre> | ||
| + | x3o3o | ||
| + | f3x3o | ||
| + | o3F3o | ||
| + | x3x3f | ||
| + | F3o3x | ||
| + | x3o3f | ||
| + | o3x3o | ||
| + | </pre> | ||
| + | |||
| + | == Projections == | ||
Centered on tetrahedron surrounded by 4 J92's: | Centered on tetrahedron surrounded by 4 J92's: | ||
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<[#embed [hash BGNNTT816526MAYD50P4MPYKTC]]> | <[#embed [hash BGNNTT816526MAYD50P4MPYKTC]]> | ||
| - | + | Projection envelope (skew polyhedron, a kind of modified icosidodecahedron): | |
| + | |||
| + | <[#embed [hash 2S3S4JSQJJ1KA8R2N8YY6HPWZ3]]> | ||
| - | * Stella4D [http://hddb.teamikaria.com/dl/NFPE211YF689JMY04S628DW6NJ.off .off file] | + | == Software models == |
| - | * Polyview [http://hddb.teamikaria.com/dl/20G4YKG7Z9HNJVYHKTSWC37S4B.def .def file] | + | *[[Stella4D]] [http://hddb.teamikaria.com/dl/NFPE211YF689JMY04S628DW6NJ.off .off file] |
| + | *[[Polyview]] [http://hddb.teamikaria.com/dl/20G4YKG7Z9HNJVYHKTSWC37S4B.def .def file] | ||
Latest revision as of 21:26, 18 March 2014
D4.8.1 is a bilbirothawroid constructed from a tetrahedron-centered patch of the rectified 120-cell's surface. It consists of 4 J92's, 12 square pyramids, 12 pentagonal pyramids, 1+4+12=17 tetrahedra, 1+4+4=9 octahedra, 6 J91's, 4 triangular cupolae, and 4 tridiminished icosahedra. Total: 68 cells, 250 polygons, 258 edges, 76 vertices.
Structure
The lace tower of this polychoron is:
x3o3o f3x3o o3F3o x3x3f F3o3x x3o3f o3x3o
Projections
Centered on tetrahedron surrounded by 4 J92's:
Centered on antipodal octahedron:
Projection envelope (skew polyhedron, a kind of modified icosidodecahedron):
