Acronym goccoa cotco
Name great cubicuboctahedron atop cubotruncated cuboctahedron
Circumradius sqrt(2) = 1.414214
Face vector 72, 168, 112, 22
Confer
uniform relative:
skiviphado  
general polytopal classes:
segmentochora  

Incidence matrix according to Dynkin symbol

xx3ox4xx4/3*a&#x   → height = 1/sqrt(2) = 0.707107
(gocco || cotco)

o.3o.4o.4/3*a    | 24  * |  2  2  2  0  0  0 | 1 2 1  2  1  2 0 0 0 | 1 1 2 1 0
.o3.o4.o4/3*a    |  * 48 |  0  0  1  1  1  1 | 0 0 0  1  1  1 1 1 1 | 0 1 1 1 1
-----------------+-------+-------------------+----------------------+----------
x. .. ..         |  2  0 | 24  *  *  *  *  * | 1 1 0  1  0  0 0 0 0 | 1 1 1 0 0
.. .. x.         |  2  0 |  * 24  *  *  *  * | 0 1 1  0  0  1 0 0 0 | 1 0 1 1 0
oo3oo4oo4/3*a&#x |  1  1 |  *  * 48  *  *  * | 0 0 0  1  1  1 0 0 0 | 0 1 1 1 0
.x .. ..         |  0  2 |  *  *  * 24  *  * | 0 0 0  1  0  0 1 1 0 | 0 1 1 0 1
.. .x ..         |  0  2 |  *  *  *  * 24  * | 0 0 0  0  1  0 1 0 1 | 0 1 0 1 1
.. .. .x         |  0  2 |  *  *  *  *  * 24 | 0 0 0  0  0  1 0 1 1 | 0 0 1 1 1
-----------------+-------+-------------------+----------------------+----------
x.3o. ..         |  3  0 |  3  0  0  0  0  0 | 8 * *  *  *  * * * * | 1 1 0 0 0
x. .. x.4/3*a    |  8  0 |  4  4  0  0  0  0 | * 6 *  *  *  * * * * | 1 0 1 0 0  {8/3}
.. o.4x.         |  4  0 |  0  4  0  0  0  0 | * * 6  *  *  * * * * | 1 0 0 1 0
xx .. ..     &#x |  2  2 |  1  0  2  1  0  0 | * * * 24  *  * * * * | 0 1 1 0 0
.. ox ..     &#x |  1  2 |  0  0  2  0  1  0 | * * *  * 24  * * * * | 0 1 0 1 0
.. .. xx     &#x |  2  2 |  0  1  2  0  0  1 | * * *  *  * 24 * * * | 0 0 1 1 0
.x3.x ..         |  0  6 |  0  0  0  3  3  0 | * * *  *  *  * 8 * * | 0 1 0 0 1
.x .. .x4/3*a    |  0  8 |  0  0  0  4  0  4 | * * *  *  *  * * 6 * | 0 0 1 0 1  {8/3}
.. .x4.x         |  0  8 |  0  0  0  0  4  4 | * * *  *  *  * * * 6 | 0 0 0 1 1  {8}
-----------------+-------+-------------------+----------------------+----------
x.3o.4x.4/3*a     24  0 | 24 24  0  0  0  0 | 8 6 6  0  0  0 0 0 0 | 1 * * * *
xx3ox ..     &#x   3  6 |  3  0  6  3  3  0 | 1 0 0  3  3  0 1 0 0 | * 8 * * *
xx .. xx4/3*a&#x   8  8 |  4  4  8  4  0  4 | 0 1 0  4  0  4 0 1 0 | * * 6 * *
.. ox4xx     &#x   4  8 |  0  4  8  0  4  4 | 0 0 1  0  4  4 0 0 1 | * * * 6 *
.x3.x4.x4/3*a      0 48 |  0  0  0 24 24 24 | 0 0 0  0  0  0 8 6 6 | * * * * 1

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