Acronym pabextot
Name partially biexpanded truncated triacontaditeron
Circumradius ...
Lace city
in approx. ASCII-art
       o3o4o  x3o4o      x3o4o  o3o4o       		-- wx ox3oo4oo&#zx (pex hex)
                                            
                                            
                                            
o3o4o         u3o4o      u3o4o         o3o4o		-- Xx ou3oo4oo&#zu (pex hex variant)
                                            
                                            
                                            
x3o4o  u3o4o  x3x4o      x3x4o  u3o4o  x3o4o		-- Xwx xux3oox4ooo&#zxt (pex thex)
                                            
                                            
                                            
                                            
                                            
x3o4o  u3o4o  x3x4o      x3x4o  u3o4o  x3o4o		-- Xwx xux3oox4ooo&#zxt (pex thex)
                                            
                                            
                                            
o3o4o         u3o4o      u3o4o         o3o4o		-- Xx ou3oo4oo&#zu (pex hex variant)
                                            
                                            
                                            
       o3o4o  x3o4o      x3o4o  o3o4o       		-- wx ox3oo4oo&#zx (pex hex)

where:
X = w+q = x+2q, u=2x
Coordinates
  • (0, 0, 0; (1+sqrt(2))/2, (1+2 sqrt(2))/2)         & all permutations within last 2 coords, all changes of sign
  • (1/sqrt(2), 0, 0; 1/2, (1+2 sqrt(2))/2)             & all permutations within each subset, all changes of sign
  • (sqrt(2), 0, 0; 1/2, (1+sqrt(2))/2)                   & all permutations within each subset, all changes of sign
  • (sqrt(2), 1/sqrt(2), 0; 1/2, 1/2)                       & all permutations within all but last coord, all changes of sign
Confer
uniform relative:
tot   cappin  
general polytopal classes:
partial Stott expansions  

This CRF polyteron can be obtained from tot by partial Stott expansion only within 2 orthogonal axial directions.


Incidence matrix according to Dynkin symbol

wxxx4xuxo oxux3ooox4oooo&#zxt

o...4o... o...3o...4o...      | 8  *  *  * | 1  6  0  0  0  0  0   0  0  0  0 |  6 12  0  0  0  0  0  0   0  0  0  0  0 | 12  8  0  0  0  0  0  0  0  0 | 1  8  0 0 0
.o..4.o.. .o..3.o..4.o..      | * 48  *  * | 0  1  1  4  1  0  0   0  0  0  0 |  1  4  4  4  1  4  0  0   0  0  0  0  0 |  4  4  4  4  4  0  0  0  0  0 | 1  4  4 0 0
..o.4..o. ..o.3..o.4..o.      | *  * 48  * | 0  0  0  0  1  1  1   4  0  0  0 |  1  0  0  0  1  4  4  4   4  0  0  0  0 |  4  0  0  4  4  4  4  0  0  0 | 0  4  4 1 0
...o4...o ...o3...o4...o      | *  *  * 96 | 0  0  0  0  0  0  0   2  2  1  2 |  0  0  0  0  0  2  2  1   4  1  2  4  2 |  1  0  0  2  4  4  2  1  2  4 | 0  2  4 1 2
------------------------------+------------+----------------------------------+-----------------------------------------+-------------------------------+------------
.... x... .... .... ....      | 2  0  0  0 | 4  *  *  *  *  *  *   *  *  *  *   6  0  0  0  0  0  0  0   0  0  0  0  0 | 12  0  0  0  0  0  0  0  0  0 | 0  8  0 0 0
oo..4oo.. oo..3oo..4oo..&#x   | 1  1  0  0 | * 48  *  *  *  *  *   *  *  *  * |  1  4  0  0  0  0  0  0   0  0  0  0  0 |  4  4  0  0  0  0  0  0  0  0 | 1  4  0 0 0
.x.. .... .... .... ....      | 0  2  0  0 | *  * 24  *  *  *  *   *  *  *  * |  0  0  4  0  1  0  0  0   0  0  0  0  0 |  0  0  4  4  0  0  0  0  0  0 | 1  0  4 0 0
.... .... .x.. .... ....      | 0  2  0  0 | *  *  * 96  *  *  *   *  *  *  * |  0  1  1  2  0  1  0  0   0  0  0  0  0 |  1  2  2  1  2  0  0  0  0  0 | 1  2  2 0 0
.oo.4.oo. .oo.3.oo.4.oo.&#x   | 0  1  1  0 | *  *  *  * 48  *  *   *  *  *  * |  1  0  0  0  1  4  0  0   0  0  0  0  0 |  4  0  0  4  4  0  0  0  0  0 | 0  4  4 0 0
..x. .... .... .... ....      | 0  0  2  0 | *  *  *  *  * 24  *   *  *  *  * |  0  0  0  0  1  0  4  0   0  0  0  0  0 |  0  0  0  4  0  4  0  0  0  0 | 0  0  4 1 0
.... ..x. .... .... ....      | 0  0  2  0 | *  *  *  *  *  * 24   *  *  *  * |  1  0  0  0  0  0  0  4   0  0  0  0  0 |  4  0  0  0  0  0  4  0  0  0 | 0  4  0 1 0
..oo4..oo ..oo3..oo4..oo&#x   | 0  0  1  1 | *  *  *  *  *  *  * 192  *  *  * |  0  0  0  0  0  1  1  1   2  0  0  0  0 |  1  0  0  1  2  2  2  0  0  0 | 0  2  2 1 0
...x .... .... .... ....      | 0  0  0  2 | *  *  *  *  *  *  *   * 96  *  * |  0  0  0  0  0  0  1  0   0  1  1  2  0 |  0  0  0  1  0  2  0  1  2  2 | 0  0  2 1 2
.... .... ...x .... ....      | 0  0  0  2 | *  *  *  *  *  *  *   *  * 48  * |  0  0  0  0  0  2  0  0   0  0  2  0  2 |  1  0  0  2  4  0  0  1  0  4 | 0  2  4 0 2
.... .... .... ...x ....      | 0  0  0  2 | *  *  *  *  *  *  *   *  *  * 96 |  0  0  0  0  0  0  0  0   2  0  0  2  1 |  0  0  0  0  2  2  1  0  1  2 | 0  1  2 1 1
------------------------------+------------+----------------------------------+-----------------------------------------+-------------------------------+------------
.... xux. .... .... ....&#xt  | 2  2  2  0 | 1  2  0  0  2  0  1   0  0  0  0 | 24  *  *  *  *  *  *  *   *  *  *  *  * |  4  0  0  0  0  0  0  0  0  0 | 0  4  0 0 0
.... .... ox.. .... ....&#x   | 1  2  0  0 | 0  2  0  1  0  0  0   0  0  0  0 |  * 96  *  *  *  *  *  *   *  *  *  *  * |  1  2  0  0  0  0  0  0  0  0 | 1  2  0 0 0
.x.. .... .x.. .... ....      | 0  4  0  0 | 0  0  2  2  0  0  0   0  0  0  0 |  *  * 48  *  *  *  *  *   *  *  *  *  * |  0  0  2  1  0  0  0  0  0  0 | 1  0  2 0 0
.... .... .x..3.o.. ....      | 0  3  0  0 | 0  0  0  3  0  0  0   0  0  0  0 |  *  *  * 64  *  *  *  *   *  *  *  *  * |  0  1  1  0  1  0  0  0  0  0 | 1  1  1 0 0
.xx. .... .... .... ....&#x   | 0  2  2  0 | 0  0  1  0  2  1  0   0  0  0  0 |  *  *  *  * 24  *  *  *   *  *  *  *  * |  0  0  0  4  0  0  0  0  0  0 | 0  0  4 0 0
.... .... .xux .... ....&#xt  | 0  2  2  2 | 0  0  0  1  2  0  0   2  0  1  0 |  *  *  *  *  * 96  *  *   *  *  *  *  * |  1  0  0  1  2  0  0  0  0  0 | 0  2  2 0 0
..xx .... .... .... ....&#x   | 0  0  2  2 | 0  0  0  0  0  1  0   2  1  0  0 |  *  *  *  *  *  * 96  *   *  *  *  *  * |  0  0  0  1  0  2  0  0  0  0 | 0  0  2 1 0
.... ..xo .... .... ....&#x   | 0  0  2  1 | 0  0  0  0  0  0  1   2  0  0  0 |  *  *  *  *  *  *  * 96   *  *  *  *  * |  1  0  0  0  0  0  2  0  0  0 | 0  2  0 1 0
.... .... .... ..ox ....&#x   | 0  0  1  2 | 0  0  0  0  0  0  0   2  0  0  1 |  *  *  *  *  *  *  *  * 192  *  *  *  * |  0  0  0  0  1  1  1  0  0  0 | 0  1  1 1 0
...x4...o .... .... ....      | 0  0  0  4 | 0  0  0  0  0  0  0   0  4  0  0 |  *  *  *  *  *  *  *  *   * 24  *  *  * |  0  0  0  0  0  0  0  1  2  0 | 0  0  0 1 2
...x .... ...x .... ....      | 0  0  0  4 | 0  0  0  0  0  0  0   0  2  2  0 |  *  *  *  *  *  *  *  *   *  * 48  *  * |  0  0  0  1  0  0  0  1  0  2 | 0  0  2 0 2
...x .... .... ...x ....      | 0  0  0  4 | 0  0  0  0  0  0  0   0  2  0  2 |  *  *  *  *  *  *  *  *   *  *  * 96  * |  0  0  0  0  0  1  0  0  1  1 | 0  0  1 1 1
.... .... ...x3...x ....      | 0  0  0  6 | 0  0  0  0  0  0  0   0  0  3  3 |  *  *  *  *  *  *  *  *   *  *  *  * 32 |  0  0  0  0  2  0  0  0  0  2 | 0  1  2 0 1
------------------------------+------------+----------------------------------+-----------------------------------------+-------------------------------+------------
.... xuxo oxux .... ....&#xt   2  4  4  2 | 1  4  0  2  4  0  2   4  0  1  0 |  2  2  0  0  0  2  0  2   0  0  0  0  0 | 48  *  *  *  *  *  *  *  *  * | 0  2  0 0 0
.... .... ox..3oo.. ....&#x    1  3  0  0 | 0  3  0  3  0  0  0   0  0  0  0 |  0  3  0  1  0  0  0  0   0  0  0  0  0 |  * 64  *  *  *  *  *  *  *  * | 1  1  0 0 0
.x.. .... .x..3.o.. ....       0  6  0  0 | 0  0  3  6  0  0  0   0  0  0  0 |  0  0  3  2  0  0  0  0   0  0  0  0  0 |  *  * 32  *  *  *  *  *  *  * | 1  0  1 0 0
.xxx .... .xux .... ....&#xt   0  4  4  4 | 0  0  2  2  4  2  0   4  2  2  0 |  0  0  1  0  2  2  2  0   0  0  1  0  0 |  *  *  * 48  *  *  *  *  *  * | 0  0  2 0 0
.... .... .xux3.oox ....&#xt   0  3  3  6 | 0  0  0  3  3  0  0   6  0  3  3 |  0  0  0  1  0  3  0  0   3  0  0  0  1 |  *  *  *  * 64  *  *  *  *  * | 0  1  1 0 0
..xx .... .... ..ox ....&#x    0  0  2  4 | 0  0  0  0  0  1  0   4  2  0  2 |  0  0  0  0  0  0  2  0   2  0  0  1  0 |  *  *  *  *  * 96  *  *  *  * | 0  0  1 1 0
.... ..xo .... ..ox ....&#x    0  0  2  2 | 0  0  0  0  0  0  1   4  0  0  1 |  0  0  0  0  0  0  0  2   2  0  0  0  0 |  *  *  *  *  *  * 96  *  *  * | 0  1  0 1 0
...x4...o ...x .... ....       0  0  0  8 | 0  0  0  0  0  0  0   0  8  4  0 |  0  0  0  0  0  0  0  0   0  2  4  0  0 |  *  *  *  *  *  *  * 12  *  * | 0  0  0 0 2
...x4...o .... ...x ....       0  0  0  8 | 0  0  0  0  0  0  0   0  8  0  4 |  0  0  0  0  0  0  0  0   0  2  0  4  0 |  *  *  *  *  *  *  *  * 24  * | 0  0  0 1 1
...x .... ...x3...x ....       0  0  0 12 | 0  0  0  0  0  0  0   0  6  6  6 |  0  0  0  0  0  0  0  0   0  0  3  3  2 |  *  *  *  *  *  *  *  *  * 32 | 0  0  1 0 1
------------------------------+------------+----------------------------------+-----------------------------------------+-------------------------------+------------
wx.. .... ox..3oo..4oo..&#zx   2 12  0  0 | 0 12  6 24  0  0  0   0  0  0  0 |  0 24 12 16  0  0  0  0   0  0  0  0  0 |  0 16  8  0  0  0  0  0  0  0 | 4  *  * * *
.... xuxo oxux3ooox ....&#xt   2  6  6  6 | 1  6  0  6  6  0  3  12  0  3  3 |  3  6  0  2  0  6  0  6   6  0  0  0  1 |  3  2  0  0  2  0  3  0  0  0 | * 32  * * *
.xxx .... .xux3.oox ....&#xt   0  6  6 12 | 0  0  3  6  6  3  0  12  6  6  6 |  0  0  3  2  3  6  6  0   6  0  3  3  2 |  0  0  1  3  2  3  0  0  0  1 | *  * 32 * *
..xx4..xo .... ..ox4..oo&#zx   0  0  8 16 | 0  0  0  0  0  4  4  32 16  0 16 |  0  0  0  0  0  0 16 16  32  4  0 16  0 |  0  0  0  0  0 16 16  0  4  0 | *  *  * 6 *
...x4...o ...x3...x ....       0  0  0 24 | 0  0  0  0  0  0  0   0 24 12 12 |  0  0  0  0  0  0  0  0   0  6 12 12  4 |  0  0  0  0  0  0  0  3  3  4 | *  *  * * 8

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