Acronym	squippyal cube, K-4.16
Name	squippy atop gyro cube
	©
Segmentochoron display
Circumradius	sqrt[(4+sqrt(2))/7] = 0.879465
Lace city in approx. ASCII-art	o4o x4o o4x o4x
General of army	(is itself convex)
Colonel of regiment	(is itself locally convex)
Face vector	13, 40, 47, 20
Confer	related segmentochora: squaf   squappy   general polytopal classes: segmentochora

Note that the slanted sides of the tetragonal projection, given in the lace city above, are not parallel. Therefore this polychoron cannot be considered alternatively as some "squippy || squap", just because this very lacking parallelity.

Incidence matrix

squippy || gyro cube   → height = sqrt[sqrt(8)-1]/2 = 0.676097

1 * * * | 4 4 0 0 0 0 0 0 | 4 8 4 0 0 0 0 0 0 0 0 0 | 1 4 4 1 0 0 0 0 tip of squippy, verf = squap
* 4 * * | 1 0 2 2 2 0 0 0 | 2 2 0 1 2 2 1 2 1 0 0 0 | 1 2 1 0 1 2 1 0 at base of squippy
* * 4 * | 0 1 0 2 0 2 1 0 | 0 2 2 0 1 0 2 2 0 1 2 0 | 0 1 2 1 0 1 2 1 at top of cube
* * * 4 | 0 0 0 0 2 0 1 2 | 0 0 0 0 0 1 0 2 2 0 2 1 | 0 0 0 0 1 1 2 1 at bottom of cube
--------+-----------------+-------------------------+----------------
1 1 0 0 | 4 * * * * * * * | 2 2 0 0 0 0 0 0 0 0 0 0 | 1 2 1 0 0 0 0 0
1 0 1 0 | * 4 * * * * * * | 0 2 2 0 0 0 0 0 0 0 0 0 | 0 1 2 1 0 0 0 0
0 2 0 0 | * * 4 * * * * * | 1 0 0 1 1 1 0 0 0 0 0 0 | 1 1 0 0 1 1 0 0
0 1 1 0 | * * * 8 * * * * | 0 1 0 0 1 0 1 1 0 0 0 0 | 0 1 1 0 0 1 1 0
0 1 0 1 | * * * * 8 * * * | 0 0 0 0 0 1 0 1 1 0 0 0 | 0 0 0 0 1 1 1 0
0 0 2 0 | * * * * * 4 * * | 0 0 1 0 0 0 1 0 0 1 1 0 | 0 0 1 1 0 0 1 1
0 0 1 1 | * * * * * * 4 * | 0 0 0 0 0 0 0 2 0 0 2 0 | 0 0 0 0 0 1 2 1
0 0 0 2 | * * * * * * * 4 | 0 0 0 0 0 0 0 0 1 0 1 1 | 0 0 0 0 1 0 1 1
--------+-----------------+-------------------------+----------------
1 2 0 0 | 2 0 1 0 0 0 0 0 | 4 * * * * * * * * * * * | 1 1 0 0 0 0 0 0
1 1 1 0 | 1 1 0 1 0 0 0 0 | * 8 * * * * * * * * * * | 0 1 1 0 0 0 0 0
1 0 2 0 | 0 2 0 0 0 1 0 0 | * * 4 * * * * * * * * * | 0 0 1 1 0 0 0 0
0 4 0 0 | 0 0 4 0 0 0 0 0 | * * * 1 * * * * * * * * | 1 0 0 0 1 0 0 0
0 2 1 0 | 0 0 1 2 0 0 0 0 | * * * * 4 * * * * * * * | 0 1 0 0 0 1 0 0
0 2 0 1 | 0 0 1 0 2 0 0 0 | * * * * * 4 * * * * * * | 0 0 0 0 1 1 0 0
0 1 2 0 | 0 0 0 2 0 1 0 0 | * * * * * * 4 * * * * * | 0 0 1 0 0 0 1 0
0 1 1 1 | 0 0 0 1 1 0 1 0 | * * * * * * * 8 * * * * | 0 0 0 0 0 1 1 0
0 1 0 2 | 0 0 0 0 2 0 0 1 | * * * * * * * * 4 * * * | 0 0 0 0 1 0 1 0
0 0 4 0 | 0 0 0 0 0 4 0 0 | * * * * * * * * * 1 * * | 0 0 0 1 0 0 0 1
0 0 2 2 | 0 0 0 0 0 1 2 1 | * * * * * * * * * * 4 * | 0 0 0 0 0 0 1 1
0 0 0 4 | 0 0 0 0 0 0 0 4 | * * * * * * * * * * * 1 | 0 0 0 0 1 0 0 1
--------+-----------------+-------------------------+----------------
1 4 0 0 | 4 0 4 0 0 0 0 0 | 4 0 0 1 0 0 0 0 0 0 0 0 | 1 * * * * * * * squippy
1 2 1 0 | 2 1 1 2 0 0 0 0 | 1 2 0 0 1 0 0 0 0 0 0 0 | * 4 * * * * * * tet
1 1 2 0 | 1 2 0 2 0 1 0 0 | 0 2 1 0 0 0 1 0 0 0 0 0 | * * 4 * * * * * tet
1 0 4 0 | 0 4 0 0 0 4 0 0 | 0 0 4 0 0 0 0 0 0 1 0 0 | * * * 1 * * * * squippy
0 4 0 4 | 0 0 4 0 8 0 0 4 | 0 0 0 1 0 4 0 0 4 0 0 1 | * * * * 1 * * * squap
0 2 1 1 | 0 0 1 2 2 0 1 0 | 0 0 0 0 1 1 0 2 0 0 0 0 | * * * * * 4 * * tet
0 1 2 2 | 0 0 0 2 2 1 2 1 | 0 0 0 0 0 0 1 2 1 0 1 0 | * * * * * * 4 * squippy
0 0 4 4 | 0 0 0 0 0 4 4 4 | 0 0 0 0 0 0 0 0 0 1 4 1 | * * * * * * * 1 cube