Acronym	squippiatricu, K-4.32
Name	square-pyramid atop triangular-cupola
Segmentochoron display	E D C BH AG F D C BH F E
Circumradius	1
General of army	(is itself convex)
Colonel of regiment	(is itself locally convex)
Face vector	14, 37, 35, 12
Confer	uniform relative: ico   related segmentochora: oct || co   squippy || co   oct || tricu   general polytopal classes: segmentochora

As oct || co obviously is half of ico, and both squippy || co and oct || tricu can be considered as diminishings therefrom, this polychoron then can be considered a bidiminishing thereof. But it should be noted that in case of such bidiminishings the triangle of the oct, which is parallel to the hexagon of the tricu and furthermore faces into the same direction, cannot be withdrawn. Therefore the orientation of the top squippy wrt. the bottom tricu is essentially fixed.

Incidence matrix

squippy || tricu   → height = 1/sqrt(2) = 0.707107

1 * * * * * * * | 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 2 2 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 2 1 0 0 0 0 0  A: squippy tip
* 2 * * * * * * | 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 1 1 0 0 0  B: upper squippy base vertices
* * 2 * * * * * | 0 1 0 0 1 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 | 0 1 0 1 1 0 1 0 1 1 0 1 1 1 1 1 1 0 0 0 0 0 0 | 1 0 1 1 1 1 1 1 0  C: lower squippy base vertices
* * * 2 * * * * | 0 0 1 0 0 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 | 0 0 1 0 1 1 0 0 0 0 0 0 0 1 1 0 0 1 1 1 0 0 0 | 0 1 1 1 0 0 0 1 1  D: tip-next tricu base vertices
* * * * 2 * * * | 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 1 1 0 0 0 0 | 0 0 1 0 0 0 0 0 1 0 1 0 0 1 0 1 0 1 0 1 1 0 0 | 0 1 1 0 0 1 0 1 1  E: medial tricu base vertices
* * * * * 2 * * | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 1 1 0 0 | 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 1 0 0 1 1 0 | 0 1 0 0 1 1 0 0 1  F: farest tricu base vertices
* * * * * * 1 * | 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 0 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 2 0 1 2 0 0 1 | 0 0 0 1 0 0 1 2 1  G: nearer tricu bottom vertex
* * * * * * * 2 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 1 1 1 | 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 0 0 1 1 1 1 | 0 0 0 0 1 1 1 1 1  H: farer tricu bottom vertices
----------------+-------------------------------------------+-----------------------------------------------+------------------
1 1 0 0 0 0 0 0 | 2 * * * * * * * * * * * * * * * * * * * * | 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 0 0 0
1 0 1 0 0 0 0 0 | * 2 * * * * * * * * * * * * * * * * * * * | 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 0 1 1 0 0 0 0 0
1 0 0 1 0 0 0 0 | * * 2 * * * * * * * * * * * * * * * * * * | 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 1 1 0 0 0 0 0
0 2 0 0 0 0 0 0 | * * * 1 * * * * * * * * * * * * * * * * * | 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 0 0 1 0 0 0 0
0 1 1 0 0 0 0 0 | * * * * 2 * * * * * * * * * * * * * * * * | 0 1 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 0 1 0 1 1 0 0 0
0 1 0 0 1 0 0 0 | * * * * * 2 * * * * * * * * * * * * * * * | 0 0 1 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 1 0 0 1 0 0 0
0 1 0 0 0 1 0 0 | * * * * * * 2 * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 0 0 1 1 0 0 0
0 0 2 0 0 0 0 0 | * * * * * * * 1 * * * * * * * * * * * * * | 0 0 0 1 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 | 1 0 0 1 1 0 1 0 0
0 0 1 1 0 0 0 0 | * * * * * * * * 2 * * * * * * * * * * * * | 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 | 0 0 1 1 0 0 0 1 0
0 0 1 0 1 0 0 0 | * * * * * * * * * 2 * * * * * * * * * * * | 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 1 0 0 0 0 0 0 0 | 0 0 1 0 0 1 0 1 0
0 0 1 0 0 0 1 0 | * * * * * * * * * * 2 * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 0 0 0 0 | 0 0 0 1 0 0 1 1 0
0 0 1 0 0 0 0 1 | * * * * * * * * * * * 2 * * * * * * * * * | 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 0 0 0 0 0 0 | 0 0 0 0 1 1 1 1 0
0 0 0 2 0 0 0 0 | * * * * * * * * * * * * 1 * * * * * * * * | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 | 0 1 0 1 0 0 0 0 1
0 0 0 1 1 0 0 0 | * * * * * * * * * * * * * 2 * * * * * * * | 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 0 0 | 0 1 1 0 0 0 0 1 1
0 0 0 1 0 0 1 0 | * * * * * * * * * * * * * * 2 * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 | 0 0 0 1 0 0 0 1 1
0 0 0 0 1 1 0 0 | * * * * * * * * * * * * * * * 2 * * * * * | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 1 0 0 | 0 1 0 0 0 1 0 0 1
0 0 0 0 1 0 0 1 | * * * * * * * * * * * * * * * * 2 * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 | 0 0 0 0 0 1 0 1 1
0 0 0 0 0 2 0 0 | * * * * * * * * * * * * * * * * * 1 * * * | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 | 0 1 0 0 1 0 0 0 1
0 0 0 0 0 1 0 1 | * * * * * * * * * * * * * * * * * * 2 * * | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 | 0 0 0 0 1 1 0 0 1
0 0 0 0 0 0 1 1 | * * * * * * * * * * * * * * * * * * * 2 * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 | 0 0 0 0 0 0 1 1 1
0 0 0 0 0 0 0 2 | * * * * * * * * * * * * * * * * * * * * 1 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 | 0 0 0 0 1 0 1 0 1
----------------+-------------------------------------------+-----------------------------------------------+------------------
1 2 0 0 0 0 0 0 | 2 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * * * * * * * * * * * * | 1 1 0 0 0 0 0 0 0
1 1 1 0 0 0 0 0 | 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * 2 * * * * * * * * * * * * * * * * * * * * * | 1 0 1 0 0 0 0 0 0
1 1 0 1 1 0 0 0 | 1 0 1 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | * * 2 * * * * * * * * * * * * * * * * * * * * | 0 1 1 0 0 0 0 0 0
1 0 2 0 0 0 0 0 | 0 2 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * 1 * * * * * * * * * * * * * * * * * * * | 1 0 0 1 0 0 0 0 0
1 0 1 1 0 0 0 0 | 0 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * 2 * * * * * * * * * * * * * * * * * * | 0 0 1 1 0 0 0 0 0
1 0 0 2 0 0 0 0 | 0 0 2 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | * * * * * 1 * * * * * * * * * * * * * * * * * | 0 1 0 1 0 0 0 0 0
0 2 2 0 0 0 0 0 | 0 0 0 1 2 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * 1 * * * * * * * * * * * * * * * * | 1 0 0 0 1 0 0 0 0
0 2 0 0 0 2 0 0 | 0 0 0 1 0 0 2 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | * * * * * * * 1 * * * * * * * * * * * * * * * | 0 1 0 0 1 0 0 0 0
0 1 1 0 1 0 0 0 | 0 0 0 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * 2 * * * * * * * * * * * * * * | 0 0 1 0 0 1 0 0 0
0 1 1 0 0 1 0 1 | 0 0 0 0 1 0 1 0 0 0 0 1 0 0 0 0 0 0 1 0 0 | * * * * * * * * * 2 * * * * * * * * * * * * * | 0 0 0 0 1 1 0 0 0
0 1 0 0 1 1 0 0 | 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | * * * * * * * * * * 2 * * * * * * * * * * * * | 0 1 0 0 0 1 0 0 0
0 0 2 0 0 0 1 0 | 0 0 0 0 0 0 0 1 0 0 2 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * 1 * * * * * * * * * * * | 0 0 0 1 0 0 1 0 0
0 0 2 0 0 0 0 2 | 0 0 0 0 0 0 0 1 0 0 0 2 0 0 0 0 0 0 0 0 1 | * * * * * * * * * * * * 1 * * * * * * * * * * | 0 0 0 0 1 0 1 0 0
0 0 1 1 1 0 0 0 | 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 0 0 0 0 | * * * * * * * * * * * * * 2 * * * * * * * * * | 0 0 1 0 0 0 0 1 0
0 0 1 1 0 0 1 0 | 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 0 0 0 0 0 | * * * * * * * * * * * * * * 2 * * * * * * * * | 0 0 0 1 0 0 0 1 0
0 0 1 0 1 0 0 1 | 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 0 0 | * * * * * * * * * * * * * * * 2 * * * * * * * | 0 0 0 0 0 1 0 1 0
0 0 1 0 0 0 1 1 | 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 0 | * * * * * * * * * * * * * * * * 2 * * * * * * | 0 0 0 0 0 0 1 1 0
0 0 0 2 2 2 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 0 1 0 0 0 | * * * * * * * * * * * * * * * * * 1 * * * * * | 0 1 0 0 0 0 0 0 1
0 0 0 2 0 0 1 0 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 0 0 | * * * * * * * * * * * * * * * * * * 1 * * * * | 0 0 0 1 0 0 0 0 1
0 0 0 1 1 0 1 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 0 | * * * * * * * * * * * * * * * * * * * 2 * * * | 0 0 0 0 0 0 0 1 1
0 0 0 0 1 1 0 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 | * * * * * * * * * * * * * * * * * * * * 2 * * | 0 0 0 0 0 1 0 0 1
0 0 0 0 0 2 0 2 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 | * * * * * * * * * * * * * * * * * * * * * 1 * | 0 0 0 0 1 0 0 0 1
0 0 0 0 0 0 1 2 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 | * * * * * * * * * * * * * * * * * * * * * * 1 | 0 0 0 0 0 0 1 0 1
----------------+-------------------------------------------+-----------------------------------------------+------------------
1 2 2 0 0 0 0 0 | 2 2 0 1 2 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 2 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * *  squippy
1 2 0 2 2 2 0 0 | 2 0 2 1 0 2 2 0 0 0 0 0 1 2 0 2 0 1 0 0 0 | 1 0 2 0 0 1 0 1 0 0 2 0 0 0 0 0 0 1 0 0 0 0 0 | * 1 * * * * * * *  tricu
1 1 1 1 1 0 0 0 | 1 1 1 0 1 1 0 0 1 1 0 0 0 1 0 0 0 0 0 0 0 | 0 1 1 0 1 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | * * 2 * * * * * *  squippy
1 0 2 2 0 0 1 0 | 0 2 2 0 0 0 0 1 2 0 2 0 1 0 2 0 0 0 0 0 0 | 0 0 0 1 2 1 0 0 0 0 0 1 0 0 2 0 0 0 1 0 0 0 0 | * * * 1 * * * * *  oct
0 2 2 0 0 2 0 2 | 0 0 0 1 2 0 2 1 0 0 0 2 0 0 0 0 0 1 2 0 1 | 0 0 0 0 0 0 1 1 0 2 0 0 1 0 0 0 0 0 0 0 0 1 0 | * * * * 1 * * * *  cube
0 1 1 0 1 1 0 1 | 0 0 0 0 1 1 1 0 0 1 0 1 0 0 0 1 1 0 1 0 0 | 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 0 1 0 0 | * * * * * 2 * * *  squippy
0 0 2 0 0 0 1 2 | 0 0 0 0 0 0 0 1 0 0 2 2 0 0 0 0 0 0 0 2 1 | 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 0 0 0 0 0 1 | * * * * * * 1 * *  squippy
0 0 1 1 1 0 1 1 | 0 0 0 0 0 0 0 0 1 1 1 1 0 1 1 0 1 0 0 1 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 0 0 0 | * * * * * * * 2 *  squippy
0 0 0 2 2 2 1 2 | 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 2 2 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 1 | * * * * * * * * 1  tricu