D4.8.1 (EntityTopic, 16)

From Hi.gher. Space

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<[#ontology [kind topic] [cats 4D Crown_jewel]]>
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<[#ontology [kind topic] [cats D4.8.x]]>
{{STS Shape
{{STS Shape
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| extra={{STS Polytope
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CJ4.8 is a [[CRF polychoron]] [[crown jewel]] constructed from a tetrahedron-centered patch of the rectified 120-cell's surface. It consists of 4 [[triangular hebesphenorotunda|J92]]'s, 12 square pyramids, 12 pentagonal pyramids, 1+4+12=17 tetrahedra, 1+4+4=9 octahedra, 6 [[bilunabirotunda|J91]]'s, 4 triangular cupolae, and 4 tridiminished icosahedra. Total: 68 cells, 250 polygons, 258 edges, 76 vertices.
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'''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 ==
== Structure ==
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The lace tower of this polychoron is:
The lace tower of this polychoron is:

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:

(image)

Centered on antipodal octahedron:

(image)

Projection envelope (skew polyhedron, a kind of modified icosidodecahedron):

(image)

Software models