Acronym | dis |
Name |
disnubihedron, compound of 12 tet |
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Circumradius | sqrt(3/8) = 0.612372 |
Inradius | 1/sqrt(24) = 0.204124 |
Vertex figure | [33] |
Dihedral angles
(at margins) |
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Confer | |
External links |
This compound has rotational freedom. Starting at φ = 0° with a completely coincident overlay of 6 stella octangula (so), rotating 2 stella octangula each, thought of each as a pair of 2-fold antiprisms, around their common axis in opposite directions.
Either the tet can be considered separately (type A); or they are considered as so (type B). Further this is a compound of 2 sis (both tetrahedral subsets are used - type C). Therefore, for φ = 45° this gives a double cover of snu.
This compound can be vertex-inscribed (with full rotational freedom) into risdoh in the same way as each individual so will be inscribed into each of those cubes.
(Type A) 48 | 1 2 | 3 || 1 ----+-------+----++--- 2 | 24 * | 1 || 1 2 | * 48 | 2 || 1 ----+-------+----++--- 3 | 1 2 | 48 || 1 ----+-------+----++--- ♦ 4 | 2 4 | 4 || 12
(Type B) 48 | 1 2 | 3 || 1 ----+-------+----++-- 2 | 24 * | 1 || 1 2 | * 48 | 2 || 1 ----+-------+----++-- 3 | 1 2 | 48 || 1 ----+-------+----++-- ♦ 8 | 4 8 | 8 || 6
(Type C) 48 | 1 2 | 3 || 1 -----+-------+----++-- 2 | 24 * | 1 || 1 2 | * 48 | 2 || 1 -----+-------+----++-- 3 | 1 2 | 48 || 1 -----+-------+----++-- ♦ 24 | 12 24 | 24 || 2
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