Acronym ...
Name expanded augmented axially-tetrahedral ursachoron ofxo3xooo3xxxx&#xt
Face vector 40, 108, 102, 34
Confer
related CRFs:
coatutu  
related segmentochora:
tetaco  
general polytopal classes:
ursachora  

Incidence matrix according to Dynkin symbol

ofxo3xooo3xxxx&#xt   → height(1,2) = sqrt[3+sqrt(5)]/4 = 0.572061
                       height(2,3) = sqrt[7+3 sqrt(5)]/4 = 0.925615
                       height(3,4) = sqrt(5/8) = 0.790569
(tut || pseudo (f,x)-co || pseudo co || tet)

o...3o...3o...     | 12  *  * * |  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..3.o..     |  * 12  * * |  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.3..o.     |  *  * 12 * |  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...o3...o     |  *  *  * 4 |  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 | 12 *  *  *  *  *  *  * * | 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 |  * 6  *  *  *  *  *  * * | 0 2  0  0  2 0  0 0 0 0  0  0 0 | 1 0 1 2 0 0 0 0 0
oo..3oo..3oo..&#x  |  1  1  0 0 |  * * 24  *  *  *  *  * * | 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 |  * *  * 12  *  *  *  * * | 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.3.oo.&#x  |  0  1  1 0 |  * *  *  * 12  *  *  * * | 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 |  * *  *  *  * 12  *  * * | 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 |  * *  *  *  *  * 12  * * | 0 0  0  0  0 0  1 0 1 1  0  1 0 | 0 0 1 0 1 0 1 1 0
..oo3..oo3..oo&#x  |  0  0  1 1 |  * *  *  *  *  *  * 12 * | 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 |  * *  *  *  *  *  *  * 6 | 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 | 4 *  *  *  * *  * * * *  *  * * | 1 1 0 0 0 0 0 0 0
.... x...3x...     |  6  0  0 0 |  3 3  0  0  0  0  0  0 0 | * 4  *  *  * *  * * * *  *  * * | 1 0 0 1 0 0 0 0 0
ofx. .... ....&#xt |  1  2  2 0 |  0 0  2  0  2  1  0  0 0 | * * 12  *  * *  * * * *  *  * * | 0 1 1 0 0 0 0 0 0
.... xo.. ....&#x  |  2  1  0 0 |  1 0  2  0  0  0  0  0 0 | * *  * 12  * *  * * * *  *  * * | 0 1 0 1 0 0 0 0 0
.... .... xx..&#x  |  2  2  0 0 |  0 1  2  1  0  0  0  0 0 | * *  *  * 12 *  * * * *  *  * * | 0 0 1 1 0 0 0 0 0
.... .o..3.x..     |  0  3  0 0 |  0 0  0  3  0  0  0  0 0 | * *  *  *  * 4  * * * *  *  * * | 0 0 0 1 1 0 0 0 0
.... .... .xx.&#x  |  0  2  2 0 |  0 0  0  1  2  0  1  0 0 | * *  *  *  * * 12 * * *  *  * * | 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 | * *  *  *  * *  * 4 * *  *  * * | 0 1 0 0 0 1 0 0 0
..x. .... ..x.     |  0  0  4 0 |  0 0  0  0  0  2  2  0 0 | * *  *  *  * *  * * 6 *  *  * * | 0 0 1 0 0 0 1 0 0
.... ..o.3..x.     |  0  0  3 0 |  0 0  0  0  0  0  3  0 0 | * *  *  *  * *  * * * 4  *  * * | 0 0 0 0 1 0 0 1 0
..xo .... ....&#x  |  0  0  2 1 |  0 0  0  0  0  1  0  2 0 | * *  *  *  * *  * * * * 12  * * | 0 0 0 0 0 1 1 0 0
.... .... ..xx&#x  |  0  0  2 2 |  0 0  0  0  0  0  1  2 1 | * *  *  *  * *  * * * *  * 12 * | 0 0 0 0 0 0 1 1 0
.... ...o3...x     |  0  0  0 3 |  0 0  0  0  0  0  0  0 3 | * *  *  *  * *  * * * *  *  * 4 | 0 0 0 0 0 0 0 1 1
-------------------+------------+--------------------------+---------------------------------+------------------
o...3x...3x...      12  0  0 0 | 12 6  0  0  0  0  0  0 0 | 4 4  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 | * 4 * * * * * * *
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 | * * 6 * * * * * *
.... xo..3xx..&#x    6  3  0 0 |  3 3  6  3  0  0  0  0 0 | 0 1  0  3  3 1  0 0 0 0  0  0 0 | * * * 4 * * * * *
.... .oo.3.xx.&#x    0  3  3 0 |  0 0  0  3  3  0  3  0 0 | 0 0  0  0  0 1  3 0 0 1  0  0 0 | * * * * 4 * * * *
..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 | * * * * * 4 * * *
..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 | * * * * * * 6 * *
.... ..oo3..xx&#x    0  0  3 3 |  0 0  0  0  0  0  3  3 3 | 0 0  0  0  0 0  0 0 0 1  0  3 1 | * * * * * * * 4 *
...o3...o3...x       0  0  0 4 |  0 0  0  0  0  0  0  0 6 | 0 0  0  0  0 0  0 0 0 0  0  0 4 | * * * * * * * * 1

© 2004-2024
top of page