Acronym copy, pt || co
Name (degenerate) cuboctahedron pyramid
Segmentochoron display
Circumradius ∞   i.e. flat in euclidean space
Dihedral angles
Confer
general polytopal classes:
segmentochora   fundamental lace prisms   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

oo3ox4oo&#x   → height = 0
(pt || co)

o.3o.4o.    | 1  *  12  0 | 24 0 0 | 8 6 0
.o3.o4.o    | * 12 |  1  4 |  4 2 2 | 2 2 1
------------+------+-------+--------+------
oo3oo4oo&#x | 1  1 | 12  * |  4 0 0 | 2 2 0
.. .x ..    | 0  2 |  * 24 |  1 1 1 | 1 1 1
------------+------+-------+--------+------
.. ox ..&#x | 1  2 |  2  1 | 24 * * | 1 1 0
.o3.x ..    | 0  3 |  0  3 |  * 8 * | 1 0 1
.. .x4.o    | 0  4 |  0  4 |  * * 6 | 0 1 1
------------+------+-------+--------+------
oo3ox ..&#x  1  3 |  3  3 |  3 1 0 | 8 * *
.. ox4oo&#x  1  4 |  4  4 |  4 0 1 | * 6 *
.o3.x4.o     0 12 |  0 24 |  0 8 6 | * * 1

ox3oo3ox&#x   → height = 0
(pt || co)

o.3o.3o.    | 1  *  12  0  0 | 12 12 0 0 0 | 4 6 4 0
.o3.o3.o    | * 12 |  1  2  2 |  2  2 1 2 1 | 1 2 1 1
------------+------+----------+-------------+--------
oo3oo3oo&#x | 1  1 | 12  *  * |  2  2 0 0 0 | 1 2 1 0
.x .. ..    | 0  2 |  * 12  * |  1  0 1 1 0 | 1 1 0 1
.. .. .x    | 0  2 |  *  * 12 |  0  1 0 1 1 | 0 1 1 1
------------+------+----------+-------------+--------
ox .. ..&#x | 1  2 |  2  1  0 | 12  * * * * | 1 1 0 0
.. .. ox&#x | 1  2 |  2  0  1 |  * 12 * * * | 0 1 1 0
.x3.o ..    | 0  3 |  0  3  0 |  *  * 4 * * | 1 0 0 1
.x .. .x    | 0  4 |  0  2  2 |  *  * * 6 * | 0 1 0 1
.. .o3.x    | 0  3 |  0  0  3 |  *  * * * 4 | 0 0 1 1
------------+------+----------+-------------+--------
ox3oo ..&#x  1  3 |  3  3  0 |  3  0 1 0 0 | 4 * * *
ox .. ox&#x  1  4 |  4  2  2 |  2  2 0 1 0 | * 6 * *
.. oo3ox&#x  1  3 |  3  0  3 |  0  3 0 0 1 | * * 4 *
.x3.o3.x     0 12 |  0 12 12 |  0  0 4 6 4 | * * * 1

snubbed forms: oβ3oo3ox&#x

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