Acronym codibrox
Name tetracontaocta-diminished birectified hexeract
Circumradius sqrt(2) = 1.414214
Lace hyper city
in approx. ASCII-art
     x4o     
             
x4o       x4o
             
     x4o     
x4o  o4q  x4o
             
o4q       o4q
             
x4o  o4q  x4o
     x4o     
             
x4o       x4o
             
     x4o     
x4o  o4q  x4o
             
o4q       o4q
             
x4o  o4q  x4o
             
             
             
             
             
x4o  o4q  x4o
             
o4q       o4q
             
x4o  o4q  x4o
     x4o     
             
x4o       x4o
             
     x4o     
x4o  o4q  x4o
             
o4q       o4q
             
x4o  o4q  x4o
     x4o     
             
x4o       x4o
             
     x4o     
Coordinates
  • (1, 0; 1/2, 1/2; 1/2, 1/2)         all permutations in each pair of coords, all changes of sign
  • (1/2, 1/2; 1, 0; 1/2, 1/2)         all permutations in each pair of coords, all changes of sign
  • (1/2, 1/2; 1/2, 1/2; 1, 0)         all permutations in each pair of coords, all changes of sign
Face vector 192, 1152, 2336, 2080, 828, 124
Confer
uniform relative:
brox  
general polytopal classes:
scaliform  
External
links
polytopewiki

Incidence matrix according to Dynkin symbol

xxo4ooq xox4oqo oxx4qoo&#zx   → height = 0
(tegum sum of 3 pairwise gyrated (x,x,q)-square trioprisms)

o..4o.. o..4o.. o..4o..     & | 192 |   4   8 |  2   4  16  12   8 |  4   8  24   4  20  2 |  1  12   8  5  16 |  4  4  4
------------------------------+-----+---------+--------------------+-----------------------+-------------------+---------
x.. ... ... ... ... ...     & |   2 | 384   * |  1   2   4   2   0 |  3   4  10   1   4  0 |  1   8   4  2   6 |  3  3  2
oo.4oo. oo.4oo. oo.4oo.&#x  & |   2 |   * 768 |  0   0   2   2   2 |  0   1   4   1   6  1 |  0   2   2  3   6 |  1  3  2
------------------------------+-----+---------+--------------------+-----------------------+-------------------+---------
x..4o.. ... ... ... ...     & |   4 |   4   0 | 96   *   *   *   * |  2   4   0   0   0  0 |  1   6   0  2   0 |  2  3  0
x.. ... x.. ... ... ...     & |   4 |   4   0 |  * 192   *   *   * |  2   0   4   0   0  0 |  1   4   2  0   2 |  2  2  1
xx. ... ... ... ... ...&#x  & |   4 |   2   2 |  *   * 768   *   * |  0   1   2   0   1  0 |  0   2   1  1   2 |  1  2  1
... ... xo. ... ... ...&#x  & |   3 |   1   2 |  *   *   * 768   * |  0   0   2   1   2  0 |  0   1   2  1   4 |  1  2  2
ooo4ooo ooo4ooo ooo4ooo&#x    |   3 |   0   3 |  *   *   *   * 512 |  0   0   0   0   3  1 |  0   0   0  3   3 |  0  3  1
------------------------------+-----+---------+--------------------+-----------------------+-------------------+---------
x..4o.. x.. ... ... ...     &    8 |  12   0 |  2   4   0   0   0 | 96   *   *   *   *  * |  1   2   0  0   0 |  1  2  0
xx.4oo. ... ... ... ...&#x  &    8 |   8   4 |  2   0   4   0   0 |  * 192   *   *   *  * |  0   2   0  1   0 |  1  2  0
xx. ... xo. ... ... ...&#x  &    6 |   5   4 |  0   1   2   2   0 |  *   * 768   *   *  * |  0   1   1  0   1 |  1  1  1
... ... xo. ... ox. ...&#x  &    4 |   2   4 |  0   0   0   4   0 |  *   *   * 192   *  * |  0   0   2  0   2 |  1  1  2
xxo ... ... ... ... ...&#x  &    5 |   2   6 |  0   0   1   2   2 |  *   *   *   * 768  * |  0   0   0  1   2 |  0  2  1
... ooq ... oqo ... qoo&#zx      6 |   0  12 |  0   0   0   0   8 |  *   *   *   *   * 64 |  0   0   0  3   0 |  0  3  0
------------------------------+-----+---------+--------------------+-----------------------+-------------------+---------
x..4o.. x..4o.. ... ...     &   16 |  32   0 |  8  16   0   0   0 |  8   0   0   0   0  0 | 12   *   *  *   * |  0  2  0
xx.4oo. xo. ... ... ...&#x  &   12 |  16   8 |  3   4   8   4   0 |  1   2   4   0   0  0 |  * 192   *  *   * |  1  1  0
xx. ... xo. ... ox. ...&#x  &    8 |   8   8 |  0   2   4   8   0 |  0   0   4   2   0  0 |  *   * 192  *   * |  1  0  1
xxo4ooq ... oqo ... qoo&#zx &   20 |  16  48 |  4   0  16  16  32 |  0   4   0   0  16  4 |  *   *   * 48   * |  0  2  0
xxo ... xox ... ... ...&#x  &    8 |   6  12 |  0   1   4   8   4 |  0   0   2   1   4  0 |  *   *   *  * 384 |  0  1  1
------------------------------+-----+---------+--------------------+-----------------------+-------------------+---------
xx.4oo. xo. ... ox. ...&#x  &   16 |  24  16 |  4   8  16  16   0 |  2   4  16   4   0  0 |  0   4   4  0   0 | 48  *  *
xxo4ooq xox4oqo ... qoo&#zx &   64 |  96 192 | 24  32 128 128 128 | 16  32  64  16 128 16 |  2  16   0  8  32 |  * 12  *
xxo ... xox ... oxx ...&#x      12 |  12  24 |  0   3  12  24   8 |  0   0  12   6  12  0 |  0   0   3  0   6 |  *  * 64

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