Acronym hocubasiddo
Name hollow cube atop snub disoctahedron,
icosahedral cupolaic blend
Circumradius 1
Coordinates
  1. (1/2, 1/2, 1/2; 1/2)       & all changes of sign in first 3 coords
    (top pseudo cube)
  2. (τ/2, 1/2, 0; -τ-1/2)       & all permutations in first 3 coords, all changes of sign in first 3 coords
    (bottom siddo)
where τ = (1+sqrt(5))/2; circumcenter here would be at origin
Confer
related CRFs:
cubaike  
general polytopal classes:
cupolaic blends  

On 1st of April 2023 a guy calling himself "puffer fish" came up with this axial blend of 2 mutually gyrated copies of cubaike, then blending out the common cube, whereby the 2 mutually gyrated ikes of the other base would combine into according the compound of 2 (siddo). It thus happens to be a 4D example for the similarily constructed cupolaic blends.

It shall be pointed out, that the originally pyritohedrally arranged lacing trips therein (used as wedges or digonal cupolae) would now come in mutally gyrated corealmic pairs. Therefore those in turn would blend into Philips heads (tutrips) each. That is, the holowness, by first glance only related to one of its bases, here in fact creeps down on the "incident" lacing facets a bit too! Further it shall be noted, that by means of this identification of the pairwise coincident base vertices of those tutrips the tips of those corealmic tets also would have to be identified, i.e. these rather become 2{3}-pyramid compounds instead. This in turn requires their bases to be 2{3} compounds as well, instead of being considered simply as a pair of just coplanar triangles. And this finally not only disallows the opposite base to be considered as a pair of corealmic ikes, rather it has to be definitely a siddo, and, more precisely, that one given there as type B, i.e. the one having those 2{3}'s.


Incidence matrix

pseudo cube || siddo   → height = (1+sqrt(5))/4 = 0.809017

8  * |  3  6  0  0 |  6  6  6  0 0 | 3  6 1 0
* 24 |  0  2  1  4 |  1  2  4  3 2 | 1  3 2 1
-----+-------------+---------------+---------
2  0 | 12  *  *  * |  2  2  0  0 0 | 2  2 0 0
1  1 |  * 48  *  * |  1  1  2  0 0 | 1  2 1 0
0  2 |  *  * 12  * |  0  2  0  2 0 | 1  2 0 1
0  2 |  *  *  * 48 |  0  0  1  1 1 | 0  1 1 1
-----+-------------+---------------+---------
2  1 |  1  2  0  0 | 24  *  *  * * | 1  1 0 0
2  2 |  1  2  1  0 |  * 24  *  * * | 1  1 0 0
1  2 |  0  2  0  1 |  *  * 48  * * | 0  1 1 0
0  3 |  0  0  1  2 |  *  *  * 24 * | 0  1 0 1
0  6 |  0  0  0  6 |  *  *  *  * 8 | 0  0 1 1  2{3}
-----+-------------+---------------+---------
4  4 |  4  8  2  0 |  4  4  0  0 0 | 6  * * *  tutrip
2  3 |  1  4  1  2 |  1  1  2  1 0 | * 24 * *  squippy
1  6 |  0  6  0  6 |  0  0  6  0 1 | *  * 8 *  2{3}-py
0 24 |  0  0 12 48 |  0  0  0 24 8 | *  * * 1  siddo

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