Acronym daso (old: doso) Name disnub octahedron,compound of 8 oct ` © ©` Circumradius 1/sqrt(2) = 0.707107 Inradius 1/sqrt(6) = 0.408248 Vertex figure [34] Dihedral angles (at margins) between {3} and {3}:   arccos(-1/3) = 109.471221° Confer related compounds: dissit   sno Externallinks

This compound has rotational freedom. Starting at φ = 0° with a completely coincident overlay of 8 octahedra, rotating 2 octahedra each, thought of as 3-fold antiprisms, around their common axis in opposite directions, and thereby passing at φ = 60° at a double cover of sno.

Bases of those 3-fold antiprisms pairwise fall into coincident face planes. So either they can be considered separately (type A); or they are considered as (rotated) 2-triangle-compounds (type B).

This also is a compound of 2 dissit (both tetrahedral subsets are used - type C).

For an intermediate state of φ the lateral triangles too become coplanar, and thus can be considered as (rotated) 2-triangle-compounds. That special case is called hidso (hexagrammattic disnub octahedron). (J. Bowers further uses idso (inner ...) for smaller values of φ, resp. odso (outer ...) for greater values.)

Incidence matrix

```(Type A)

48 |  2  2 |  3  1 || 1
----+-------+-------++--
2 | 48  * |  1  1 || 1
2 |  * 48 |  2  0 || 1
----+-------+-------++--
3 |  1  2 | 48  * || 1
3 |  3  0 |  * 16 || 1
----+-------+-------++--
♦ 6 |  6  6 |  6  2 || 8
```

```(Type B)

48 |  2  2 |  3 1 || 1
----+-------+------++--
2 | 48  * |  1 1 || 1
2 |  * 48 |  2 0 || 1
----+-------+------++--
3 |  1  2 | 48 * || 1
6 |  6  0 |  * 8 || 2
----+-------+------++--
♦ 6 |  6  6 |  6 2 || 8
```

```(Type C)

48 |  2  2 |  3  1 || 1
-----+-------+-------++--
2 | 48  * |  1  1 || 1
2 |  * 48 |  2  0 || 1
-----+-------+-------++--
3 |  1  2 | 48  * || 1
3 |  3  0 |  * 16 || 1
-----+-------+-------++--
♦ 24 | 24 24 | 24  8 || 2
```