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Acronymdis
Namedisnubihedron,
compound of 12tet
 
©
Circumradiussqrt(3/8) = 0.612372
Inradius1/sqrt(24) = 0.204124
Vertex figure[33]
Dihedral angles
(at margins)
  • between {3} and {3}:   arccos(1/3) = 70.528779°
Confer
relatedcompounds:
so  sis  risdoh  
External
links
hedrondude  wikipedia  polytopewiki

Thiscompound 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-foldantiprisms, around their common axis in opposite directions.

Either thetet can be considered separately (type A); or they are consideredasso (type B). Further this is acompound of 2sis (both tetrahedral subsets are used - type C).Therefore, for φ = 45° this gives a double cover ofsnu.

Thiscompound can be vertex-inscribed (with full rotational freedom) intorisdoh in thesame way as each individualso will be inscribed into each of thosecubes.


Incidence matrix

(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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