Acronym cubatic, cube || tic
Name (degenerate) cube atop truncated cube
 
tC   truncated cube ©
Segmentochoron display
Circumradius ∞   i.e. flat in euclidean space
Dihedral angles
Face vector 32, 72, 56, 16
Confer
general polytopal classes:
segmentochora   decomposition  

It either can be thought of as a degenerate 4D segmentotope with zero height, or as a 3D euclidean decomposition of the larger base into smaller bits.


Incidence matrix according to Dynkin symbol

oo3ox4xx&#x   → height = 0
(cube || tic)

o.3o.4o.    | 8  * |  3  3  0  0 | 3  3  3 0 0 | 1 1 3 0
.o3.o4.o    | * 24 |  0  1  2  1 | 0  2  1 1 2 | 0 1 2 1
------------+------+-------------+-------------+--------
.. .. x.    | 2  0 | 12  *  *  * | 2  0  1 0 0 | 1 0 2 0
oo3oo4oo&#x | 1  1 |  * 24  *  * | 0  2  1 0 0 | 0 1 2 0
.. .x ..    | 0  2 |  *  * 24  * | 0  1  0 1 1 | 0 1 1 1
.. .. .x    | 0  2 |  *  *  * 12 | 0  0  1 0 2 | 0 0 2 1
------------+------+-------------+-------------+--------
.. o.4x.    | 4  0 |  4  0  0  0 | 6  *  * * * | 1 0 1 0
.. ox ..&#x | 1  2 |  0  2  1  0 | * 24  * * * | 0 1 1 0
.. .. xx&#x | 2  2 |  1  2  0  1 | *  * 12 * * | 0 0 2 0
.o3.x ..    | 0  3 |  0  0  3  0 | *  *  * 8 * | 0 1 0 1
.. .x4.x    | 0  8 |  0  0  4  4 | *  *  * * 6 | 0 0 1 1
------------+------+-------------+-------------+--------
o.3o.4x.     8  0 | 12  0  0  0 | 6  0  0 0 0 | 1 * * *
oo3ox ..&#x  1  3 |  0  3  3  0 | 0  3  0 1 0 | * 8 * *
.. ox4xx&#x  4  8 |  4  8  4  4 | 1  4  4 0 1 | * * 6 *
.o3.x4.x     0 24 |  0  0 24 12 | 0  0  0 8 6 | * * * 1

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