Digonal gyrobicupolic ring (EntityTopic, 17)
From Hi.gher. Space
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| - | '''K4.8''' is the first as-yet-unclassified convex [[segmentochoron]]. Its cells are 1 tetrahedron, 4 square | + | '''K4.8''' is the first as-yet-unclassified convex [[segmentochoron]]. Its cells are 1 [[tetrahedron]], 4 [[square pyramid]]s and 2 [[triangular prism]]s. Its faces are 1+4 [[square]]s and 4+4+4 [[triangle]]s. It has 2+4+4+8 edges and 4+4 vertices. |
[[Keiji]] studied it explicitly to try to understand more about the segmentochora. | [[Keiji]] studied it explicitly to try to understand more about the segmentochora. | ||
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It is possible to construct K4.8 from three different pairs of polytopes: | It is possible to construct K4.8 from three different pairs of polytopes: | ||
{| style='text-align: center;' | {| style='text-align: center;' | ||
| - | |<[#img [hash FQJDJCGRXBSBP94RHQHKJEA2MQ]]><br/> | + | |<[#img [hash FQJDJCGRXBSBP94RHQHKJEA2MQ]]><br/>Square pyramid and<br/>opposite triangle highlighted |
| - | |<[#img [hash E1T3GH5F04TPYTM0RR4485SQF4]]><br/> | + | |<[#img [hash E1T3GH5F04TPYTM0RR4485SQF4]]><br/>Tetrahedron and<br/>opposite square highlighted |
| - | |<[#img [hash 0NF1CPV2F19RM64G3F450VANMY]]><br/> | + | |<[#img [hash 0NF1CPV2F19RM64G3F450VANMY]]><br/>Triangular prism and<br/>opposite digon highlighted |
|} | |} | ||
Revision as of 14:32, 27 August 2012
K4.8 is the first as-yet-unclassified convex segmentochoron. Its cells are 1 tetrahedron, 4 square pyramids and 2 triangular prisms. Its faces are 1+4 squares and 4+4+4 triangles. It has 2+4+4+8 edges and 4+4 vertices.
Keiji studied it explicitly to try to understand more about the segmentochora.
Projections
It is possible to construct K4.8 from three different pairs of polytopes:
| ExPar: [#img] is obsolete, use [#embed] instead Square pyramid and opposite triangle highlighted | ExPar: [#img] is obsolete, use [#embed] instead Tetrahedron and opposite square highlighted | ExPar: [#img] is obsolete, use [#embed] instead Triangular prism and opposite digon highlighted |
