Acronym ...
Name rico-cap augmented thex-rotunda
Circumradius ...
Lace city
in approx. ASCII-art
    o4o x4o o4o    
                   
o4o     u4o     o4o
                   
x4o u4o x4q u4o x4o
                   
    x4o o4q x4o    
        x3x    
    u3o     o3x
x3o     u3x    
            x3x
o3x     x3u    
    o3u     x3o
        x3x    
Dihedral angles
Face vector 48, 126, 108, 30
Confer
uniform relatives:
rico   thex  
related segmentotera:
coatoe  
related CRFs:
octum   oxux3xxoo4xxxx&#xt  

Incidence matrix according to Dynkin symbol

oxux3xxoo4oooo&#xt   → all heights = 1/sqrt(2) = 0.707107
(co || pseudo toe || pseudo u-oct || oct)

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

xxoo3oxux3xxoo&#xt   → all heights = 1/sqrt(2) = 0.707107
(co || pseudo toe || pseudo u-oct || oct)

o...3o...3o...     | 12  * * *   2  2  2  0  0  0  0 0  0 | 1 2 1  2  1  2 0 0 0  0  0  0 0 0 | 1 1 2 1 0 0 0 0
.o..3.o..3.o..     |  * 24 * * |  0  0  1  1  1  1  1 0  0 | 0 0 0  1  1  1 1 1 1  1  1  1 0 0 | 0 1 1 1 1 1 1 0
..o.3..o.3..o.     |  *  * 6 * |  0  0  0  0  0  0  4 1  0 | 0 0 0  0  0  0 0 0 0  2  4  2 0 0 | 0 0 0 0 2 1 2 0
...o3...o3...o     |  *  * * 6 |  0  0  0  0  0  0  0 1  4 | 0 0 0  0  0  0 0 0 0  0  4  0 2 2 | 0 0 0 0 2 0 2 1
-------------------+-----------+---------------------------+-----------------------------------+----------------
x... .... ....     |  2  0 0 0 | 12  *  *  *  *  *  * *  * | 1 1 0  1  0  0 0 0 0  0  0  0 0 0 | 1 1 1 0 0 0 0 0
.... .... x...     |  2  0 0 0 |  * 12  *  *  *  *  * *  * | 0 1 1  0  0  1 0 0 0  0  0  0 0 0 | 1 0 1 1 0 0 0 0
oo..3oo..4oo..&#x  |  1  1 0 0 |  *  * 24  *  *  *  * *  * | 0 0 0  1  1  1 0 0 0  0  0  0 0 0 | 0 1 1 1 0 0 0 0
.x.. .... ....     |  0  2 0 0 |  *  *  * 12  *  *  * *  * | 0 0 0  1  0  0 1 1 0  1  0  0 0 0 | 0 1 1 0 1 1 0 0
.... .x.. ....     |  0  2 0 0 |  *  *  *  * 12  *  * *  * | 0 0 0  0  1  0 1 0 1  0  1  0 0 0 | 0 1 0 1 1 0 1 0
.... .... .x..     |  0  2 0 0 |  *  *  *  *  * 12  * *  * | 0 0 0  0  0  1 0 1 1  0  0  1 0 0 | 0 0 1 1 0 1 1 0
.oo.3.oo.4.oo.&#x  |  0  1 1 0 |  *  *  *  *  *  * 24 *  * | 0 0 0  0  0  0 0 0 0  1  1  1 0 0 | 0 0 0 0 1 1 1 0
..oo3..oo4..oo&#x  |  0  0 1 1 |  *  *  *  *  *  *  * 6  * | 0 0 0  0  0  0 0 0 0  0  4  0 0 0 | 0 0 0 0 2 0 2 0
.... ...x ....     |  0  0 0 2 |  *  *  *  *  *  *  * * 12 | 0 0 0  0  0  0 0 0 0  0  1  0 1 1 | 0 0 0 0 1 0 1 1
-------------------+-----------+---------------------------+-----------------------------------+----------------
x...3o... ....     |  3  0 0 0 |  3  0  0  0  0  0  0 0  0 | 4 * *  *  *  * * * *  *  *  * * * | 1 1 0 0 0 0 0 0
x... .... x...     |  4  0 0 0 |  2  2  0  0  0  0  0 0  0 | * 6 *  *  *  * * * *  *  *  * * * | 1 0 1 0 0 0 0 0
.... o...3x...     |  3  0 0 0 |  0  3  0  0  0  0  0 0  0 | * * 4  *  *  * * * *  *  *  * * * | 1 0 0 1 0 0 0 0
xx.. .... ....&#x  |  2  2 0 0 |  1  0  2  1  0  0  0 0  0 | * * * 12  *  * * * *  *  *  * * * | 0 1 1 0 0 0 0 0
.... ox.. ....&#x  |  1  2 0 0 |  0  0  2  0  1  0  0 0  0 | * * *  * 12  * * * *  *  *  * * * | 0 1 0 1 0 0 0 0
.... .... xx..&#x  |  2  2 0 0 |  0  1  2  0  0  1  0 0  0 | * * *  *  * 12 * * *  *  *  * * * | 0 0 1 1 0 0 0 0
.x..3.x.. ....     |  0  6 0 0 |  0  0  0  3  3  0  0 0  0 | * * *  *  *  * 4 * *  *  *  * * * | 0 1 0 0 1 0 0 0
.x.. .... .x..     |  0  4 0 0 |  0  0  0  2  0  2  0 0  0 | * * *  *  *  * * 6 *  *  *  * * * | 0 0 1 0 0 1 0 0
.... .x..3.x..     |  0  6 0 0 |  0  0  0  0  3  3  0 0  0 | * * *  *  *  * * * 4  *  *  * * * | 0 0 0 1 0 0 1 0
.xo. .... ....&#x  |  0  2 1 0 |  0  0  0  1  0  0  2 0  0 | * * *  *  *  * * * * 12  *  * * * | 0 0 0 0 1 1 0 0
.... .xux ....&#x  |  0  2 2 2 |  0  0  0  0  1  0  2 2  1 | * * *  *  *  * * * *  * 12  * * * | 0 0 0 0 1 0 1 0
.... .... .xo.&#x  |  0  2 1 0 |  0  0  0  0  0  1  2 0  0 | * * *  *  *  * * * *  *  * 12 * * | 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 1 0 0 1
.... ...x3...o     |  0  0 0 3 |  0  0  0  0  0  0  0 0  3 | * * *  *  *  * * * *  *  *  * * 4 | 0 0 0 0 0 0 1 1
-------------------+-----------+---------------------------+-----------------------------------+----------------
x...3o...3x...      12  0 0 0 | 12 12  0  0  0  0  0 0  0 | 4 6 4  0  0  0 0 0 0  0  0  0 0 0 | 1 * * * * * * *
xx..3ox.. ....&#x    3  6 0 0 |  3  0  6  3  3  0  0 0  0 | 1 0 0  3  3  0 1 0 0  0  0  0 0 0 | * 4 * * * * * *
xx.. .... xx..&#x    4  4 0 0 |  2  2  4  2  0  2  0 0  0 | 0 1 0  2  0  2 0 1 0  0  0  0 0 0 | * * 6 * * * * *
.... ox..3xx..&#x    3  6 0 0 |  0  3  6  0  3  3  0 0  0 | 0 0 1  0  3  3 0 0 1  0  0  0 0 0 | * * * 4 * * * *
.xoo3.xux ....&#xt   0  6 3 3 |  0  0  0  3  3  0  6 3  3 | 0 0 0  0  0  0 1 0 0  3  3  0 1 0 | * * * * 4 * * *
.xo. .... .xo.&#x    0  4 1 0 |  0  0  0  2  0  2  4 0  0 | 0 0 0  0  0  0 0 1 0  2  0  2 0 0 | * * * * * 6 * *
.... .xux3.xoo&#xt   0  6 3 3 |  0  0  0  0  3  3  6 3  3 | 0 0 0  0  0  0 0 0 1  0  3  3 0 1 | * * * * * * 4 *
...o3...x3...o       0  0 0 6 |  0  0  0  0  0  0  0 0 12 | 0 0 0  0  0  0 0 0 0  0  0  0 4 4 | * * * * * * * 1

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