Square biantiprismatic ring (EntityTopic, 19)
From Hi.gher. Space
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(±1, ±1, ±1, 0) | (±1, ±1, ±1, 0) | ||
Square: | Square: | ||
| - | ( | + | (±√2, 0, 0, H) |
| - | (0, | + | (0, ±√2, 0, H) |
| - | where H = | + | where H = √(2√2 - 1). |
== Additional images == | == Additional images == | ||
<[#box [id 11] [width 150] [height 210]]> | <[#box [id 11] [width 150] [height 210]]> | ||
Revision as of 22:03, 14 March 2014
The square biantiprismic ring is a member of the infinite family of biantiprismatic 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:
(±√2, 0, 0, H) (0, ±√2, 0, H)
where H = √(2√2 - 1).
