Acronym rah
Name rhombihexahedron,
compound of 3 cube
 
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Circumradius sqrt(3)/2 = 0.866025
Inradius 1/2
Vertex figure [43]
Coordinates (sqrt(2)/2, 1/2, 0)   & all permutations, all changes of sign
General of army x3w4o
Colonel of regiment (is itself locally convex)
Dihedral angles
(at margins)
  • between {4} and {4}:   90°
Confer risdoh  
External
links
hedrondude   wikipedia   mathworld

This compound is a special (and thus rigid) case of risdoh. It can be vertex-superimposed to snu in the same way as risdoh (with full rotational freedom) can be vertex-superimposed to sis.


Incidence matrix

 24 |  2  1 |  2 1 || 1
----+-------+------++--
  2 | 24  * |  1 1 || 1
  2 |  * 12 |  2 0 || 1
----+-------+------++--
  4 |  2  2 | 12 * || 1
  4 |  4  0 |  * 6 || 1
----+-------+------++--
 8 |  8  4 |  4 2 || 3

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