Acronym ...
Name proh-cap augmented bistratic prit-cap
Circumradius ...
Lace city
in approx. ASCII-art
    x4o x4x   x4x x4o    
                         
x4o     x4u   x4u     x4o
                         
x4x x4u w4x   w4x x4u x4x
                         
    x4x w4o   w4o x4x    
Face vector 120, 300, 240, 60
Confer
uniform relatives:
proh   prit  
related segmentotera:
ticagirco  
related CRFs:
sircoa gircotum   oxux3xxoo4oooo&#xt  

Incidence matrix according to Dynkin symbol

oxux3xxoo4xxxx&#xt   → all heights = 1/sqrt(2) = 0.707107
(tic || pseudo girco || pseudo (u,x)-sirco || sirco)

o...3o...4o...     | 24  *  *  * |  2  1  2  0  0  0  0  0  0  0  0 | 1 2  1  2  2 0  0 0  0  0  0 0  0 0  0 0 | 1 1  1 2 0  0 0 0 0
.o..3.o..4.o..     |  * 48  *  * |  0  0  1  1  1  1  1  0  0  0  0 | 0 0  1  1  1 1  1 1  1  1  1 0  0 0  0 0 | 0 1  1 1 1  1 1 0 0
..o.3..o.4..o.     |  *  * 24  * |  0  0  0  0  0  0  2  2  1  0  0 | 0 0  0  0  0 0  0 0  2  1  2 1  2 0  0 0 | 0 0  0 0 1  2 1 1 0
...o3...o4...o     |  *  *  * 24 |  0  0  0  0  0  0  0  0  1  2  2 | 0 0  0  0  0 0  0 0  2  0  0 0  2 1  2 1 | 0 0  0 0 1  2 0 1 1
-------------------+-------------+----------------------------------+------------------------------------------+--------------------
.... x... ....     |  2  0  0  0 | 24  *  *  *  *  *  *  *  *  *  * | 1 1  0  1  0 0  0 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 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  0 0 | 0 1  1 1 0  0 0 0 0
.x.. .... ....     |  0  2  0  0 |  *  *  * 24  *  *  *  *  *  *  * | 0 0  1  0  0 1  1 0  1  0  0 0  0 0  0 0 | 0 1  1 0 1  1 0 0 0
.... .x.. ....     |  0  2  0  0 |  *  *  *  * 24  *  *  *  *  *  * | 0 0  0  1  0 1  0 1  0  1  0 0  0 0  0 0 | 0 1  0 1 1  0 1 0 0
.... .... .x..     |  0  2  0  0 |  *  *  *  *  * 24  *  *  *  *  * | 0 0  0  0  1 0  1 1  0  0  1 0  0 0  0 0 | 0 0  1 1 0  1 1 0 0
.oo.3.oo.4.oo.&#x  |  0  1  1  0 |  *  *  *  *  *  * 48  *  *  *  * | 0 0  0  0  0 0  0 0  1  1  1 0  0 0  0 0 | 0 0  0 0 1  1 1 0 0
.... .... ..x.     |  0  0  2  0 |  *  *  *  *  *  *  * 24  *  *  * | 0 0  0  0  0 0  0 0  0  0  1 1  1 0  0 0 | 0 0  0 0 0  1 1 1 0
..oo3..oo4..oo&#x  |  0  0  1  1 |  *  *  *  *  *  *  *  * 24  *  * | 0 0  0  0  0 0  0 0  2  0  0 0  2 0  0 0 | 0 0  0 0 1  2 0 1 0
...x .... ....     |  0  0  0  2 |  *  *  *  *  *  *  *  *  * 24  * | 0 0  0  0  0 0  0 0  1  0  0 0  0 1  1 0 | 0 0  0 0 1  1 0 0 1
.... .... ...x     |  0  0  0  2 |  *  *  *  *  *  *  *  *  *  * 24 | 0 0  0  0  0 0  0 0  0  0  0 0  1 0  1 1 | 0 0  0 0 0  1 0 1 1
-------------------+-------------+----------------------------------+------------------------------------------+--------------------
o...3x... ....     |  3  0  0  0 |  3  0  0  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  0  0 | * 6  *  *  * *  * *  *  *  * *  * *  * * | 1 0  0 1 0  0 0 0 0
ox.. .... ....&#x  |  1  2  0  0 |  0  0  2  1  0  0  0  0  0  0  0 | * * 24  *  * *  * *  *  *  * *  * *  * * | 0 1  1 0 0  0 0 0 0
.... xx.. ....&#x  |  2  2  0  0 |  1  0  2  0  1  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  0  0  1  0  0  0  0  0 | * *  *  * 24 *  * *  *  *  * *  * *  * * | 0 0  1 1 0  0 0 0 0
.x..3.x.. ....     |  0  6  0  0 |  0  0  0  3  3  0  0  0  0  0  0 | * *  *  *  * 8  * *  *  *  * *  * *  * * | 0 1  0 0 1  0 0 0 0
.x.. .... .x..     |  0  4  0  0 |  0  0  0  2  0  2  0  0  0  0  0 | * *  *  *  * * 12 *  *  *  * *  * *  * * | 0 0  1 0 0  1 0 0 0
.... .x..4.x..     |  0  8  0  0 |  0  0  0  0  4  4  0  0  0  0  0 | * *  *  *  * *  * 6  *  *  * *  * *  * * | 0 0  0 1 0  0 1 0 0
.xux .... ....&#xt |  0  2  2  2 |  0  0  0  1  0  0  2  0  2  1  0 | * *  *  *  * *  * * 24  *  * *  * *  * * | 0 0  0 0 1  1 0 0 0
.... .xo. ....&#x  |  0  2  1  0 |  0  0  0  0  1  0  2  0  0  0  0 | * *  *  *  * *  * *  * 24  * *  * *  * * | 0 0  0 0 1  0 1 0 0
.... .... .xx.&#x  |  0  2  2  0 |  0  0  0  0  0  1  2  1  0  0  0 | * *  *  *  * *  * *  *  * 24 *  * *  * * | 0 0  0 0 0  1 1 0 0
.... ..o.4..x.     |  0  0  4  0 |  0  0  0  0  0  0  0  4  0  0  0 | * *  *  *  * *  * *  *  *  * 6  * *  * * | 0 0  0 0 0  0 1 1 0
.... .... ..xx&#x  |  0  0  2  2 |  0  0  0  0  0  0  0  1  2  0  1 | * *  *  *  * *  * *  *  *  * * 24 *  * * | 0 0  0 0 0  1 0 1 0
...x3...o ....     |  0  0  0  3 |  0  0  0  0  0  0  0  0  0  3  0 | * *  *  *  * *  * *  *  *  * *  * 8  * * | 0 0  0 0 1  0 0 0 1
...x .... ...x     |  0  0  0  4 |  0  0  0  0  0  0  0  0  0  2  2 | * *  *  *  * *  * *  *  *  * *  * * 12 * | 0 0  0 0 0  1 0 0 1
.... ...o4...x     |  0  0  0  4 |  0  0  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  0  0 | 8 6  0  0  0 0  0 0  0  0  0 0  0 0  0 0 | 1 *  * * *  * * * *
ox..3xx.. ....&#x    3  6  0  0 |  3  0  6  3  3  0  0  0  0  0  0 | 1 0  3  3  0 1  0 0  0  0  0 0  0 0  0 0 | * 8  * * *  * * * *
ox.. .... xx..&#x    2  4  0  0 |  0  1  4  2  0  2  0  0  0  0  0 | 0 0  2  0  2 0  1 0  0  0  0 0  0 0  0 0 | * * 12 * *  * * * *
.... xx..4xx..&#x    8  8  0  0 |  4  4  8  0  4  4  0  0  0  0  0 | 0 1  0  4  4 0  0 1  0  0  0 0  0 0  0 0 | * *  * 6 *  * * * *
.xux3.xoo ....&#xt   0  6  3  3 |  0  0  0  3  3  0  6  0  3  3  0 | 0 0  0  0  0 1  0 0  3  3  0 0  0 1  0 0 | * *  * * 8  * * * *
.xux .... .xxx&#xt   0  4  4  4 |  0  0  0  2  0  2  4  2  4  2  2 | 0 0  0  0  0 0  1 0  2  0  2 0  2 0  1 0 | * *  * * * 12 * * *
.... .xo.4.xx.&#x    0  8  4  0 |  0  0  0  0  4  4  8  4  0  0  0 | 0 0  0  0  0 0  0 1  0  4  4 1  0 0  0 0 | * *  * * *  * 6 * *
.... ..oo4..xx&#x    0  0  4  4 |  0  0  0  0  0  0  0  4  4  0  4 | 0 0  0  0  0 0  0 0  0  0  0 1  4 0  0 1 | * *  * * *  * * 6 *
...x3...o4...x       0  0  0 24 |  0  0  0  0  0  0  0  0  0 24 24 | 0 0  0  0  0 0  0 0  0  0  0 0  0 8 12 6 | * *  * * *  * * * 1

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