Acronym ...
Name expanded augmented axially-octahedral ursachoron ofx3xoo4xxx&#xt
Confer
related CRFs:
tic || (f,x)-sirco || sirco  
related segmentochora:
cubasirco  
general polytopal classes:
ursachora  

Incidence matrix according to Dynkin symbol

ofxo3xooo4xxxx&#xt   → height(1,2) = sqrt[sqrt(5)-1]/2 = 0.555893
                       height(2,3) = sqrt[1+sqrt(5)]/2 = 0.899454
                       height(3,4) = 1/sqrt(2) = 0.707107
(tic || pseudo (f,x)-sirco || pseudo sirco || cube)

o...3o...4o...     | 24  *  * * |  2  1  2  0  0  0  0  0  0 | 1 2  1  2  2 0  0 0  0 0  0  0 0 | 1 1  1 2 0 0  0 0 0
.o..3.o..4.o..     |  * 24  * * |  0  0  2  2  1  0  0  0  0 | 0 0  2  1  2 1  2 0  0 0  0  0 0 | 0 1  2 1 1 0  0 0 0
..o.3..o.4..o.     |  *  * 24 * |  0  0  0  0  1  2  2  1  0 | 0 0  2  0  0 0  2 1  2 1  2  2 0 | 0 1  2 0 1 1  2 1 0
...o3...o4...o     |  *  *  * 8 |  0  0  0  0  0  0  0  3  3 | 0 0  0  0  0 0  0 0  0 0  3  6 3 | 0 0  0 0 0 1  3 3 1
-------------------+------------+----------------------------+----------------------------------+--------------------
.... x... ....     |  2  0  0 0 | 24  *  *  *  *  *  *  *  * | 1 1  0  1  0 0  0 0  0 0  0  0 0 | 1 1  0 1 0 0  0 0 0
.... .... x...     |  2  0  0 0 |  * 12  *  *  *  *  *  *  * | 0 2  0  0  2 0  0 0  0 0  0  0 0 | 1 0  1 2 0 0  0 0 0
oo..3oo..4oo..&#x  |  1  1  0 0 |  *  * 48  *  *  *  *  *  * | 0 0  1  1  1 0  0 0  0 0  0  0 0 | 0 1  1 1 0 0  0 0 0
.... .... .x..     |  0  2  0 0 |  *  *  * 24  *  *  *  *  * | 0 0  0  0  1 1  1 0  0 0  0  0 0 | 0 0  1 1 1 0  0 0 0
.oo.3.oo.4.oo.&#x  |  0  1  1 0 |  *  *  *  * 24  *  *  *  * | 0 0  2  0  0 0  2 0  0 0  0  0 0 | 0 1  2 0 1 0  0 0 0
..x. .... ....     |  0  0  2 0 |  *  *  *  *  * 24  *  *  * | 0 0  1  0  0 0  0 1  1 0  1  0 0 | 0 1  1 0 0 1  1 0 0
.... .... ..x.     |  0  0  2 0 |  *  *  *  *  *  * 24  *  * | 0 0  0  0  0 0  1 0  1 1  0  1 0 | 0 0  1 0 1 0  1 1 0
..oo3..oo4..oo&#x  |  0  0  1 1 |  *  *  *  *  *  *  * 24  * | 0 0  0  0  0 0  0 0  0 0  2  2 0 | 0 0  0 0 0 1  2 1 0
.... .... ...x     |  0  0  0 2 |  *  *  *  *  *  *  *  * 12 | 0 0  0  0  0 0  0 0  0 0  0  2 2 | 0 0  0 0 0 0  1 2 1
-------------------+------------+----------------------------+----------------------------------+--------------------
o...3x... ....     |  3  0  0 0 |  3  0  0  0  0  0  0  0  0 | 8 *  *  *  * *  * *  * *  *  * * | 1 1  0 0 0 0  0 0 0
.... x...4x...     |  8  0  0 0 |  4  4  0  0  0  0  0  0  0 | * 6  *  *  * *  * *  * *  *  * * | 1 0  0 1 0 0  0 0 0
ofx. .... ....&#xt |  1  2  2 0 |  0  0  2  0  2  1  0  0  0 | * * 24  *  * *  * *  * *  *  * * | 0 1  1 0 0 0  0 0 0
.... xo.. ....&#x  |  2  1  0 0 |  1  0  2  0  0  0  0  0  0 | * *  * 24  * *  * *  * *  *  * * | 0 1  0 1 0 0  0 0 0
.... .... xx..&#x  |  2  2  0 0 |  0  1  2  1  0  0  0  0  0 | * *  *  * 24 *  * *  * *  *  * * | 0 0  1 1 0 0  0 0 0
.... .o..4.x..     |  0  4  0 0 |  0  0  0  4  0  0  0  0  0 | * *  *  *  * 6  * *  * *  *  * * | 0 0  0 1 1 0  0 0 0
.... .... .xx.&#x  |  0  2  2 0 |  0  0  0  1  2  0  1  0  0 | * *  *  *  * * 24 *  * *  *  * * | 0 0  1 0 1 0  0 0 0
..x.3..o. ....     |  0  0  3 0 |  0  0  0  0  0  3  0  0  0 | * *  *  *  * *  * 8  * *  *  * * | 0 1  0 0 0 1  0 0 0
..x. .... ..x.     |  0  0  4 0 |  0  0  0  0  0  2  2  0  0 | * *  *  *  * *  * * 12 *  *  * * | 0 0  1 0 0 0  1 0 0
.... ..o.4..x.     |  0  0  4 0 |  0  0  0  0  0  0  4  0  0 | * *  *  *  * *  * *  * 6  *  * * | 0 0  0 0 1 0  0 1 0
..xo .... ....&#x  |  0  0  2 1 |  0  0  0  0  0  1  0  2  0 | * *  *  *  * *  * *  * * 24  * * | 0 0  0 0 0 1  1 0 0
.... .... ..xx&#x  |  0  0  2 2 |  0  0  0  0  0  0  1  2  1 | * *  *  *  * *  * *  * *  * 24 * | 0 0  0 0 0 0  1 1 0
.... ...o4...x     |  0  0  0 4 |  0  0  0  0  0  0  0  0  4 | * *  *  *  * *  * *  * *  *  * 6 | 0 0  0 0 0 0  0 1 1
-------------------+------------+----------------------------+----------------------------------+--------------------
o...3x...4x...      24  0  0 0 | 24 12  0  0  0  0  0  0  0 | 8 6  0  0  0 0  0 0  0 0  0  0 0 | 1 *  * * * *  * * *
ofx.3xoo. ....&#xt   3  3  3 0 |  3  0  6  0  3  3  0  0  0 | 1 0  3  3  0 0  0 1  0 0  0  0 0 | * 8  * * * *  * * *
ofx. .... xxx.&#xt   2  4  4 0 |  0  1  4  2  4  2  2  0  0 | 0 0  2  0  2 0  2 0  1 0  0  0 0 | * * 12 * * *  * * *
.... xo..4xx..&#x    8  4  0 0 |  4  4  8  4  0  0  0  0  0 | 0 1  0  4  4 1  0 0  0 0  0  0 0 | * *  * 6 * *  * * *
.... .oo.4.xx.&#x    0  4  4 0 |  0  0  0  4  4  0  4  0  0 | 0 0  0  0  0 1  4 0  0 1  0  0 0 | * *  * * 6 *  * * *
..xo3..oo ....&#x    0  0  3 1 |  0  0  0  0  0  3  0  3  0 | 0 0  0  0  0 0  0 1  0 0  3  0 0 | * *  * * * 8  * * *
..xo .... ..xx&#x    0  0  4 2 |  0  0  0  0  0  2  2  4  1 | 0 0  0  0  0 0  0 0  1 0  2  2 0 | * *  * * * * 12 * *
.... ..oo4..xx&#x    0  0  4 4 |  0  0  0  0  0  0  4  4  4 | 0 0  0  0  0 0  0 0  0 1  0  4 1 | * *  * * * *  * 6 *
...o3...o4...x       0  0  0 8 |  0  0  0  0  0  0  0  0 12 | 0 0  0  0  0 0  0 0  0 0  0  0 6 | * *  * * * *  * * 1

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