Acronym	siddo
Name	snub disoctahedron, octahedral compound of 2 ike
	© ©
Circumradius	sqrt[(5+sqrt(5))/8] = 0.951057
Inradius	sqrt[(7+3 sqrt(5))/24] = 0.755761
Coordinates	(τ/2, 1/2, 0)   & all permutations, all changes of sign where τ = (1+sqrt(5))/2
Vertex figure	[35]
General of army	x3f4o
Colonel of regiment	(is itself locally convex)
External links

Faces of an octahedral subset of triangles pairwise fall into coincident face planes. So either those can be considered separately (type A); or they are considered as (rotated) 2-triangle-compounds (type B).

Incidence matrix according to Dynkin symbol

β3β3β   (Type A)

both( . . . )    | 24 |  1  4 |  2  3 || 1
-----------------+----+-------+-------++--
both( s 2 s )    |  2 | 12  * |  0  2 || 1
sefa( β3β . )  & |  2 |  * 48 |  1  1 || 1
-----------------+----+-------+-------++--
both( s3s . )  & |  3 |  0  3 | 16  * || 1
sefa( β3β3β )    |  3 |  1  2 |  * 24 || 1
-----------------+----+-------+-------++--
both( s3s3s )    ♦ 12 |  6 24 |  8 12 || 2

β3β3β   (Type B)

both( . . . )    | 24 |  1  4 | 2  3 || 1
-----------------+----+-------+------++--
both( s 2 s )    |  2 | 12  * | 0  2 || 1
sefa( β3β . )  & |  2 |  * 48 | 1  1 || 1
-----------------+----+-------+------++--
      β3β .    & |  6 |  0  6 | 8  * || 2
sefa( β3β3β )    |  3 |  1  2 | * 24 || 1
-----------------+----+-------+------++--
both( s3s3s )    ♦ 12 |  6 24 | 8 12 || 2