Acronym ...
Name cuboctahedral retro-cuploid
Circumradius 1
Confer ico  

Incidence matrix according to Dynkin symbol

reduced( ox3/2xx4oo&#x, by .x3/2.x4.o)   → height = 1/sqrt(2) = 0.707107
(co || pseudo 2oct+6{4})

o.3/2o.4o.                           | 12 * |  4  2  0 | 2 2  1  4 0 | 1 2 2
.o3/2.o4.o                           |  * 6 |  0  4  4 | 0 0  4  8 2 | 0 4 4
-------------------------------------+------+----------+-------------+------
..   x. ..                           |  2 0 | 24  *  * | 1 1  0  1 0 | 1 1 1
oo3/2oo4oo&#x                        |  1 1 |  * 24  * | 0 0  1  2 0 | 0 2 1
.x   .. ..     &  both( ..   .x .. ) |  0 2 |  *  * 12 | 0 0  1  2 1 | 0 2 2
-------------------------------------+------+----------+-------------+------
o.3/2x. ..                           |  3 0 |  3  0  0 | 8 *  *  * * | 1 1 0
..   x.4o.                           |  4 0 |  4  0  0 | * 6  *  * * | 1 0 1
ox   .. ..&#x                        |  1 2 |  0  2  1 | * * 12  * * | 0 2 0
..   xx ..&#x                        |  2 2 |  1  2  1 | * *  * 24 * | 0 1 1
..   .x4.o                           |  0 4 |  0  0  4 | * *  *  * 3 | 0 0 2
-------------------------------------+------+----------+-------------+------
o.3/2x.4o.                            12 0 | 24  0  0 | 8 6  0  0 0 | 1 * *
ox3/2xx ..&#x                          3 3 |  3  6  3 | 1 0  3  3 0 | * 8 *  (likewise bottom-reduced)
..   xx4oo&#x                          4 4 |  4  4  4 | 0 1  0  4 1 | * * 6

reduced( xx3/2ox3/2xx&#x, by .x3/2.x3/2.x)   → height = 1/sqrt(2) = 0.707107
(co || pseudo 2oct+6{4})

o.3/2o.3/2o.                                      | 12 * |  2  2  2  0 | 1 2 1  2  1  2 0 | 1 1 2 1
.o3/2.o3/2.o                                      |  * 6 |  0  0  4  4 | 0 0 0  4  4  4 2 | 0 2 4 2
--------------------------------------------------+------+-------------+------------------+--------
x.   ..   ..                                      |  2 0 | 12  *  *  * | 1 1 0  1  0  0 0 | 1 1 1 0
..   ..   x.                                      |  2 0 |  * 12  *  * | 0 1 1  0  0  1 0 | 1 0 1 1
oo3/2oo3/2oo&#x                                   |  1 1 |  *  * 24  * | 0 0 0  1  1  1 0 | 0 1 1 1
.x   ..   ..    &  ..   .x   ..  &  ..   ..   .x  |  0 2 |  *  *  * 12 | 0 0 0  1  1  1 1 | 0 1 2 1
--------------------------------------------------+------+-------------+------------------+--------
x.3/2o.   ..                                      |  3 0 |  3  0  0  0 | 4 * *  *  *  * * | 1 1 0 0
x.   ..   x.                                      |  4 0 |  2  2  0  0 | * 6 *  *  *  * * | 1 0 1 0
..   o.3/2x.                                      |  3 0 |  0  3  0  0 | * * 4  *  *  * * | 1 0 0 1
xx   ..   ..&#x                                   |  2 2 |  1  0  2  1 | * * * 12  *  * * | 0 1 1 0
..   ox   ..&#x                                   |  1 2 |  0  0  2  1 | * * *  * 12  * * | 0 1 0 1
..   ..   xx&#x                                   |  2 2 |  0  1  2  1 | * * *  *  * 12 * | 0 0 1 1
.x   ..   .x                                      |  0 4 |  0  0  0  4 | * * *  *  *  * 3 | 0 0 2 0
--------------------------------------------------+------+-------------+------------------+--------
x.3/2o.3/2x.                                       12 0 | 12 12  0  0 | 4 6 4  0  0  0 0 | 1 * * *
xx3/2ox   ..&#x                                     3 3 |  3  0  6  3 | 1 0 0  3  3  0 0 | * 4 * *  (likewise bottom-reduced)
xx   ..   xx&#x                                     4 4 |  2  2  4  4 | 0 1 0  2  0  2 1 | * * 6 *
..   ox3/2xx&#x                                     3 3 |  0  3  6  3 | 0 0 1  0  3  3 0 | * * * 4  (likewise bottom-reduced)

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