Acronym dis Name disnubihedron,compound of 12 tet ` © ©` Circumradius sqrt(3/8) = 0.612372 Inradius 1/sqrt(24) = 0.204124 Vertex figure [33] Dihedral angles (at margins) between {3} and {3}:   arccos(1/3) = 70.528779° Confer related compounds: so   sis   risdoh Externallinks

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.

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
```