D4.7 (EntityTopic, 15)
From Hi.gher. Space
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{{STS Shape | {{STS Shape | ||
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| extra={{STS Polytope | | extra={{STS Polytope | ||
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The modified tristratic cap has the structure o5x3o || x5o3x || o5o3F || o5x3x. This crown jewel is then constructed from this tristratic cap by deleting the vertices of 8 triangles from the x5o3x layer that lie at the vertices of an inscribed cube. | The modified tristratic cap has the structure o5x3o || x5o3x || o5o3F || o5x3x. This crown jewel is then constructed from this tristratic cap by deleting the vertices of 8 triangles from the x5o3x layer that lie at the vertices of an inscribed cube. | ||
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| + | Its faces are 308 [[triangle]]s, 42 [[square]]s, 48 [[pentagon]]s and 20 [[hexagon]]s. Its cells are 12+12+24 = 48 [[tetrahedra]], 6 [[triangular prism]]s, 6 [[square pyramid]]s, 12 [[pentagonal pyramid]]s, 12 [[triangular cupola]]e, 12 [[octahedra]], 12 [[tridiminished icosahedra]], 8 [[triangular hebesphenorotunda]]e, a [[rhodomesohedron]] and a [[truncated icosahedron]] - a total of ten different cell types! | ||
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| + | It is the first crown jewel to be discovered with (a 4D variant of) [[pyritohedral symmetry]]. | ||
== Projections == | == Projections == | ||
Revision as of 00:59, 25 February 2014
CJ4.7 is a CRF polychoron crown jewel discovered by student91 on February 24, 2014. It is based on a modified tristratic cap derived from the rectified 600-cell o5o3x3o.
The modified tristratic cap has the structure o5x3o || x5o3x || o5o3F || o5x3x. This crown jewel is then constructed from this tristratic cap by deleting the vertices of 8 triangles from the x5o3x layer that lie at the vertices of an inscribed cube.
Its faces are 308 triangles, 42 squares, 48 pentagons and 20 hexagons. Its cells are 12+12+24 = 48 tetrahedra, 6 triangular prisms, 6 square pyramids, 12 pentagonal pyramids, 12 triangular cupolae, 12 octahedra, 12 tridiminished icosahedra, 8 triangular hebesphenorotundae, a rhodomesohedron and a truncated icosahedron - a total of ten different cell types!
It is the first crown jewel to be discovered with (a 4D variant of) pyritohedral symmetry.
Projections
Centered on icosidodecahedron:
