Acronym dirico
Name diminished rectified icosatetrachoron
Circumradius sqrt(3) = 1.732051
Lace city
in approx. ASCII-art
      o3x   x3x   x3o      
                           
                           
   x3x   u3x   x3u   x3x   
                           		(with
                           		 H=hh=3x)
x3o   x3u  oH3Ho  u3x   o3x
                           
                           
   x3x   u3x   x3u   x3x   
    x4o o4q x4o    
                   
x4o u4o x4q u4o x4o
                   
o4q x4q     x4q o4q
                   
x4o u4o x4q u4o x4o
Dihedral angles
  • at {4} between co and cube:   135°
  • at {4} between cube and tricu:   135°
  • at {3} between co and co:   120°
  • at {3} between co and tricu:   120°
  • at {6} between toe and tricu:   120°
  • at {4} between co and toe:   90°
Confer
uniform relative:
rico  
segmentochora:
co || toe  
related CRFs:
pabdirico   cytid rico  

Incidence matrix according to Dynkin symbol

oxxx3xxox4ooqo&#xt   → all heights = 1/sqrt(2) = 0.707107
(co || pseudo toe || pseudo (x,q)-sirco || toe)

o...3o...4o...     | 12  *  *  *   4  2  0  0  0  0  0  0  0 | 2 2  1  4 0  0  0  0 0  0  0 0 0 | 1 2 2  0 0 0 0
.o..3.o..4.o..     |  * 24  *  *   0  1  1  2  2  0  0  0  0 | 0 0  1  2 1  2  2  1 0  0  0 0 0 | 0 2 1  1 1 0 0
..o.3..o.4..o.     |  *  * 24  *   0  0  0  0  2  2  2  0  0 | 0 0  0  0 0  2  1  2 1  2  1 0 0 | 0 1 0  2 1 1 0
...o3...o4...o     |  *  *  * 24 |  0  0  0  0  0  0  2  1  2 | 0 0  0  0 0  0  0  1 0  2  2 2 1 | 0 0 0  1 1 2 1
-------------------+-------------+----------------------------+----------------------------------+---------------
.... x... ....     |  2  0  0  0 | 24  *  *  *  *  *  *  *  * | 1 1  0  1 0  0  0  0 0  0  0 0 0 | 1 1 1  0 0 0 0
oo..3oo..4oo..&#x  |  1  1  0  0 |  * 24  *  *  *  *  *  *  * | 0 0  1  2 0  0  0  0 0  0  0 0 0 | 0 2 1  0 0 0 0
.x.. .... ....     |  0  2  0  0 |  *  * 12  *  *  *  *  *  * | 0 0  1  0 0  2  0  0 0  0  0 0 0 | 0 2 0  1 0 0 0
.... .x.. ....     |  0  2  0  0 |  *  *  * 24  *  *  *  *  * | 0 0  0  1 1  0  1  0 0  0  0 0 0 | 0 1 1  0 1 0 0
.oo.3.oo.4.oo.&#x  |  0  1  1  0 |  *  *  *  * 48  *  *  *  * | 0 0  0  0 0  1  1  1 0  0  0 0 0 | 0 1 0  1 1 0 0
..x. .... ....     |  0  0  2  0 |  *  *  *  *  * 24  *  *  * | 0 0  0  0 0  1  0  0 1  1  0 0 0 | 0 1 0  1 0 1 0
..oo3..oo4..oo&#x  |  0  0  1  1 |  *  *  *  *  *  * 48  *  * | 0 0  0  0 0  0  0  1 0  1  1 0 0 | 0 0 0  1 1 1 0
...x .... ....     |  0  0  0  2 |  *  *  *  *  *  *  * 12  * | 0 0  0  0 0  0  0  0 0  2  0 2 0 | 0 0 0  1 0 2 1
.... ...x ....     |  0  0  0  2 |  *  *  *  *  *  *  *  * 24 | 0 0  0  0 0  0  0  0 0  0  1 1 1 | 0 0 0  0 1 1 1
-------------------+-------------+----------------------------+----------------------------------+---------------
o...3x... ....     |  3  0  0  0 |  3  0  0  0  0  0  0  0  0 | 8 *  *  * *  *  *  * *  *  * * * | 1 1 0  0 0 0 0
.... x...4o...     |  4  0  0  0 |  4  0  0  0  0  0  0  0  0 | * 6  *  * *  *  *  * *  *  * * * | 1 0 1  0 0 0 0
ox.. .... ....&#x  |  1  2  0  0 |  0  2  1  0  0  0  0  0  0 | * * 12  * *  *  *  * *  *  * * * | 0 2 0  0 0 0 0
.... xx.. ....&#x  |  2  2  0  0 |  1  2  0  1  0  0  0  0  0 | * *  * 24 *  *  *  * *  *  * * * | 0 1 1  0 0 0 0
.... .x..4.o..     |  0  4  0  0 |  0  0  0  4  0  0  0  0  0 | * *  *  * 6  *  *  * *  *  * * * | 0 0 1  0 1 0 0
.xx. .... ....&#x  |  0  2  2  0 |  0  0  1  0  2  1  0  0  0 | * *  *  * * 24  *  * *  *  * * * | 0 1 0  1 0 0 0
.... .xo. ....&#x  |  0  2  1  0 |  0  0  0  1  2  0  0  0  0 | * *  *  * *  * 24  * *  *  * * * | 0 1 0  0 1 0 0
.... .... .oqo&#xt |  0  1  2  1 |  0  0  0  0  2  0  2  0  0 | * *  *  * *  *  * 24 *  *  * * * | 0 0 0  1 1 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
..xx .... ....&#x  |  0  0  2  2 |  0  0  0  0  0  1  2  1  0 | * *  *  * *  *  *  * * 24  * * * | 0 0 0  1 0 1 0
.... ..ox ....&#x  |  0  0  1  2 |  0  0  0  0  0  0  2  0  1 | * *  *  * *  *  *  * *  * 24 * * | 0 0 0  0 1 1 0
...x3...x ....     |  0  0  0  6 |  0  0  0  0  0  0  0  3  3 | * *  *  * *  *  *  * *  *  * 8 * | 0 0 0  0 0 1 1
.... ...x4...o     |  0  0  0  4 |  0  0  0  0  0  0  0  0  4 | * *  *  * *  *  *  * *  *  * * 6 | 0 0 0  0 1 0 1
-------------------+-------------+----------------------------+----------------------------------+---------------
o...3x...4o...      12  0  0  0 | 24  0  0  0  0  0  0  0  0 | 8 6  0  0 0  0  0  0 0  0  0 0 0 | 1 * *  * * * *
oxx.3xxo. ....&#xt   3  6  3  0 |  3  6  3  3  6  3  0  0  0 | 1 0  3  3 0  3  3  0 1  0  0 0 0 | * 8 *  * * * *
.... xx..4oo..&#x    4  4  0  0 |  4  4  0  4  0  0  0  0  0 | 0 1  0  4 1  0  0  0 0  0  0 0 0 | * * 6  * * * *
.xxx .... .oqo&#xt   0  2  4  2 |  0  0  1  0  4  2  4  1  0 | 0 0  0  0 0  2  0  2 0  2  0 0 0 | * * * 12 * * *
.... .xox4.oqo&#xt   0  4  4  4 |  0  0  0  4  8  0  8  0  4 | 0 0  0  0 1  0  4  4 0  0  4 0 1 | * * *  * 6 * *
..xx3..ox ....&#xt   0  0  3  6 |  0  0  0  0  0  3  6  3  3 | 0 0  0  0 0  0  0  0 1  3  3 1 0 | * * *  * * 8 *
...x3...x4...o       0  0  0 24 |  0  0  0  0  0  0  0 12 24 | 0 0  0  0 0  0  0  0 0  0  0 8 6 | * * *  * * * 1

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