Digonal gyrobicupolic ring (EntityTopic, 17)

From Hi.gher. Space

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Revision as of 17:45, 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.

Construction

It is possible to construct K4.8 from three different pairs of polytopes:

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Square pyramid and
opposite triangle highlighted
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Tetrahedron and
opposite square highlighted
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Triangular prism and
opposite digon highlighted