Acronym risdoh Name rhombisnub dishexahedron,compound of 6 cube,Skilling's compound ` © ©` Circumradius sqrt(3)/2 = 0.866025 Inradius 1/2 Vertex figure [43] Coordinates (c+s, c-s, 1)/2       all permutations, all changes of sign where c = cos(φ), s = sin(φ) Dihedral angles (at margins) between {4} and {4}:   90° Confer rah   sis   dis Externallinks

This compound has rotational freedom. Starting at φ = 0° with a completely coincident overlay of 6 cubes, rotating 2 cubes each, thought of as 4-fold prisms, around their common axis in opposite directions, and thereby passing at φ = 45° at a double cover of rah.

Bases of those 4-fold prisms pairwise fall into coincident face planes. So either they can be considered separately (type A); or they are considered as (rotated) 2-square-compounds (type B).

This compound can be vertex-superimposed (with full rotational freedom) to dis in the same way as each individual cube will be vertex-superimposed to each of those so. Furthermore, half its vertices can likewise be vertex-superimposed (with full rotational freedom) to sis in the same way as each individual cube will be related to the inscribed tet.

Incidence matrix

```(Type A)

48 |  2  1 |  2  1 || 1
----+-------+-------++--
2 | 48  * |  1  1 || 1
2 |  * 24 |  2  0 || 1
----+-------+-------++--
4 |  2  2 | 24  * || 1
4 |  4  0 |  * 12 || 1
----+-------+-------++--
♦ 8 |  8  4 |  4  2 || 6
```

```(Type B)

48 |  2  1 |  2 1 || 1
----+-------+------++--
2 | 48  * |  1 1 || 1
2 |  * 24 |  2 0 || 1
----+-------+------++--
4 |  2  2 | 24 * || 1
8 |  8  0 |  * 6 || 2
----+-------+------++--
♦ 8 |  8  4 |  4 2 || 6
```

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