Square biantiprismatic ring (EntityTopic, 19)

From Hi.gher. Space

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The square biantiprismic ring is a member of the infinite family of [[biantiprismic ring]]s, which are 4D CRF polychora. It consists of a 3-membered ring containing two square antiprisms and a cube, flanked by a circle of 4 [[tetrahedra]] and 4 [[square pyramid]]s.
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<[#ontology [kind topic] [cats Uniform Prism Tapertope Bicupolic_ring]]>
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<[#embed [hash DD3GJQSWCEV0G5C4NJJ0G4XFEW]]>
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The '''square biantiprismic ring''' is a member of the infinite family of [[biantiprismic ring]]s, which are 4D CRF polychora. It consists of a 3-membered ring containing two square antiprisms and a cube, flanked by a circle of 4 [[tetrahedra]] and 4 [[square pyramid]]s.
== Cartesian coordinates ==
== Cartesian coordinates ==

Revision as of 22:37, 11 February 2014

The square biantiprismic ring is a member of the infinite family of biantiprismic rings, which are 4D CRF polychora. It consists of a 3-membered ring containing two square antiprisms and a cube, flanked by a circle of 4 tetrahedra and 4 square pyramids.

Cartesian coordinates

Cube:

(±1, ±1, ±1, 0)

Square:

(±sqrt(2), 0, 0, H)
(0, ±sqrt(2), 0, H)

where H = sqrt(2*sqrt(2) - 1).