Acronym cytid srico
Name cyclotridiminished small rhombated icositetrachoron
 

 ©
Circumradius sqrt[4+2 sqrt(2)] = 2.613126
Lace city
in approx. ASCII-art
(with:                                                     x3x
 X=2x+q=x+w,                                                  
 Z=3x+q=u+w)                                        w3x       
                                                              
                                                           x3w
                                        w3u                   
                                                              
                                x3X             x3X           
                            X3x                     X3x       
                              D                               
                    u3w                                    u3w
                      C                 Z3o                   
                                                              
        x3w                     o3Z             o3Z           
          B         X3x           F                        X3x
x3x                   E                                       
  A                 x3X                                    x3X
        w3x                     Z3o             Z3o           
                                                              
                                        o3Z                   
                    w3u                                    w3u
                                                              
                            x3X                     x3X       
                                X3x             X3x           
                                                              
                                        u3w                   
                                                           w3x
                                                              
                                                    x3w       
                                                              
                                                           x3x
Dihedral angles
Confer
uniform relative:
srico  
segmentochora:
co || tic   tic || girco  

Diminishing the srico by a bistratic stack of co || tic and tic || girco at 3 cyclical positions results in this CRF polychoron.


Incidence matrix

18  *  *  *  *  * |  2  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0 | 1  2  2  1  0  0  0  0  0  0  0  0  0  0  0  0 0 | 2  2  0  0 0  0  A
 * 36  *  *  *  * |  0  1  1  1  1  1  0  0  0  0  0  0  0  0  0  0 | 0  1  1  1  1  2  1  1  0  0  0  0  0  0  0  0 0 | 1  2  1  1 0  0  B
 *  * 36  *  *  * |  0  0  0  0  1  0  1  1  1  1  0  0  0  0  0  0 | 0  0  1  0  1  1  0  1  1  1  1  1  0  0  0  0 0 | 1  1  1  1 1  0  C
 *  *  * 36  *  * |  0  0  0  0  0  0  1  1  0  0  1  1  1  0  0  0 | 0  0  1  0  1  0  0  0  1  0  1  1  1  1  1  0 0 | 1  1  1  0 1  1  D
 *  *  *  * 36  * |  0  0  0  0  0  1  0  0  1  1  0  1  0  1  1  0 | 0  0  0  0  0  1  1  1  0  1  1  1  1  0  1  1 0 | 0  1  1  1 1  1  E
 *  *  *  *  * 18 |  0  0  0  0  0  0  0  0  0  0  0  0  2  0  2  2 | 0  0  0  0  0  0  0  0  0  0  0  2  0  1  4  1 1 | 0  0  1  0 2  2  F
------------------+-------------------------------------------------+--------------------------------------------------+----------------
 2  0  0  0  0  0 | 18  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 1  1  1  0  0  0  0  0  0  0  0  0  0  0  0  0 0 | 2  1  0  0 0  0
 1  1  0  0  0  0 |  * 36  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 0  1  1  1  0  0  0  0  0  0  0  0  0  0  0  0 0 | 1  2  0  0 0  0
 0  2  0  0  0  0 |  *  * 18  *  *  *  *  *  *  *  *  *  *  *  *  * | 0  1  0  0  1  0  1  0  0  0  0  0  0  0  0  0 0 | 1  1  1  0 0  0  (within each B)
 0  2  0  0  0  0 |  *  *  * 18  *  *  *  *  *  *  *  *  *  *  *  * | 0  0  0  1  0  2  0  0  0  0  0  0  0  0  0  0 0 | 0  2  0  1 0  0  (connecting B's)
 0  1  1  0  0  0 |  *  *  *  * 36  *  *  *  *  *  *  *  *  *  *  * | 0  0  1  0  1  1  0  1  0  0  0  0  0  0  0  0 0 | 1  1  1  1 0  0
 0  1  0  0  1  0 |  *  *  *  *  * 36  *  *  *  *  *  *  *  *  *  * | 0  0  0  0  0  1  1  1  0  0  0  0  0  0  0  0 0 | 0  1  1  1 0  0
 0  0  1  1  0  0 |  *  *  *  *  *  * 36  *  *  *  *  *  *  *  *  * | 0  0  1  0  0  0  0  0  1  0  1  0  0  0  0  0 0 | 1  1  0  0 1  0  girco-{8}
 0  0  1  1  0  0 |  *  *  *  *  *  *  * 36  *  *  *  *  *  *  *  * | 0  0  0  0  1  0  0  0  1  0  0  1  0  0  0  0 0 | 1  0  1  0 1  0  girco-{6}
 0  0  1  0  1  0 |  *  *  *  *  *  *  *  * 36  *  *  *  *  *  *  * | 0  0  0  0  0  1  0  0  0  1  1  0  0  0  0  0 0 | 0  1  0  1 1  0  (short projection)
 0  0  1  0  1  0 |  *  *  *  *  *  *  *  *  * 36  *  *  *  *  *  * | 0  0  0  0  0  0  0  1  0  1  0  1  0  0  0  0 0 | 0  0  1  1 1  0  (long projection)
 0  0  0  2  0  0 |  *  *  *  *  *  *  *  *  *  * 18  *  *  *  *  * | 0  0  1  0  1  0  0  0  0  0  0  0  1  1  0  0 0 | 1  1  1  0 0  1
 0  0  0  1  1  0 |  *  *  *  *  *  *  *  *  *  *  * 36  *  *  *  * | 0  0  0  0  0  0  0  0  0  0  1  0  1  0  1  0 0 | 0  1  0  0 1  1
 0  0  0  1  0  1 |  *  *  *  *  *  *  *  *  *  *  *  * 36  *  *  * | 0  0  0  0  0  0  0  0  0  0  0  1  0  1  1  0 0 | 0  0  1  0 1  1
 0  0  0  0  2  0 |  *  *  *  *  *  *  *  *  *  *  *  *  * 18  *  * | 0  0  0  0  0  0  1  0  0  0  0  0  1  0  0  1 0 | 0  1  1  0 0  1
 0  0  0  0  1  1 |  *  *  *  *  *  *  *  *  *  *  *  *  *  * 36  * | 0  0  0  0  0  0  0  0  0  0  0  1  0  0  1  1 0 | 0  0  1  0 1  1
 0  0  0  0  0  2 |  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 18 | 0  0  0  0  0  0  0  0  0  0  0  0  0  0  2  0 1 | 0  0  0  0 2  1
------------------+-------------------------------------------------+--------------------------------------------------+----------------
 6  0  0  0  0  0 |  6  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 | 3  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * * | 2  0  0  0 0  0
 2  2  0  0  0  0 |  1  2  1  0  0  0  0  0  0  0  0  0  0  0  0  0 | * 18  *  *  *  *  *  *  *  *  *  *  *  *  *  * * | 1  1  0  0 0  0
 2  2  2  2  0  0 |  1  2  0  0  2  0  2  0  0  0  1  0  0  0  0  0 | *  * 18  *  *  *  *  *  *  *  *  *  *  *  *  * * | 1  1  0  0 0  0
 1  2  0  0  0  0 |  0  2  0  1  0  0  0  0  0  0  0  0  0  0  0  0 | *  *  * 18  *  *  *  *  *  *  *  *  *  *  *  * * | 0  2  0  0 0  0
 0  2  2  2  0  0 |  0  0  1  0  2  0  0  2  0  0  1  0  0  0  0  0 | *  *  *  * 18  *  *  *  *  *  *  *  *  *  *  * * | 1  0  1  0 0  0
 0  2  1  0  1  0 |  0  0  0  1  1  1  0  0  1  0  0  0  0  0  0  0 | *  *  *  *  * 36  *  *  *  *  *  *  *  *  *  * * | 0  1  0  1 0  0
 0  2  0  0  2  0 |  0  0  1  0  0  2  0  0  0  0  0  0  0  1  0  0 | *  *  *  *  *  * 18  *  *  *  *  *  *  *  *  * * | 0  1  1  0 0  0
 0  1  1  0  1  0 |  0  0  0  0  1  1  0  0  0  1  0  0  0  0  0  0 | *  *  *  *  *  *  * 36  *  *  *  *  *  *  *  * * | 0  0  1  1 0  0
 0  0  2  2  0  0 |  0  0  0  0  0  0  2  2  0  0  0  0  0  0  0  0 | *  *  *  *  *  *  *  * 18  *  *  *  *  *  *  * * | 1  0  0  0 1  0
 0  0  2  0  2  0 |  0  0  0  0  0  0  0  0  2  2  0  0  0  0  0  0 | *  *  *  *  *  *  *  *  * 18  *  *  *  *  *  * * | 0  0  0  1 1  0
 0  0  1  1  1  0 |  0  0  0  0  0  0  1  0  1  0  0  1  0  0  0  0 | *  *  *  *  *  *  *  *  *  * 36  *  *  *  *  * * | 0  1  0  0 1  0
 0  0  1  1  1  1 |  0  0  0  0  0  0  0  1  0  1  0  0  1  0  1  0 | *  *  *  *  *  *  *  *  *  *  * 36  *  *  *  * * | 0  0  1  0 1  0
 0  0  0  2  2  0 |  0  0  0  0  0  0  0  0  0  0  1  2  0  1  0  0 | *  *  *  *  *  *  *  *  *  *  *  * 18  *  *  * * | 0  1  0  0 0  1
 0  0  0  2  0  1 |  0  0  0  0  0  0  0  0  0  0  1  0  2  0  0  0 | *  *  *  *  *  *  *  *  *  *  *  *  * 18  *  * * | 0  0  1  0 0  1
 0  0  0  1  1  2 |  0  0  0  0  0  0  0  0  0  0  0  1  1  0  1  1 | *  *  *  *  *  *  *  *  *  *  *  *  *  * 36  * * | 0  0  0  0 1  1
 0  0  0  0  2  1 |  0  0  0  0  0  0  0  0  0  0  0  0  0  1  2  0 | *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 18 * | 0  0  1  0 0  1
 0  0  0  0  0  3 |  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  3 | *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 6 | 0  0  0  0 2  0
------------------+-------------------------------------------------+--------------------------------------------------+----------------
12 12 12 12  0  0 | 12 12  6  0 12  0 12 12  0  0  6  0  0  0  0  0 | 2  6  6  0  6  0  0  0  6  0  0  0  0  0  0  0 0 | 3  *  *  * *  *  girco
 2  4  2  2  2  0 |  1  4  1  2  2  2  2  0  2  0  1  2  0  1  0  0 | 0  1  1  2  0  2  1  0  0  0  2  0  1  0  0  0 0 | * 18  *  * *  *  squacu
 0  2  2  2  2  1 |  0  0  1  0  2  2  0  2  0  2  1  0  2  1  2  0 | 0  0  0  0  1  0  1  2  0  0  0  2  0  1  0  1 0 | *  * 18  * *  *  tricu
 0  2  2  0  2  0 |  0  0  0  1  2  2  0  0  2  2  0  0  0  0  0  0 | 0  0  0  0  0  2  0  2  0  1  0  0  0  0  0  0 0 | *  *  * 18 *  *  trip
 0  0  6  6  6  6 |  0  0  0  0  0  0  6  6  6  6  0  6  6  0  6  6 | 0  0  0  0  0  0  0  0  3  3  6  6  0  0  6  0 2 | *  *  *  * 6  *  sirco
 0  0  0  2  2  2 |  0  0  0  0  0  0  0  0  0  0  1  2  2  1  2  1 | 0  0  0  0  0  0  0  0  0  0  0  0  1  1  2  1 0 | *  *  *  * * 18  trip

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