Acronym guti
Name great tetrakisicositetrachoron
Circumradius sqrt[4+sqrt(2)] = 2.326846
Colonel of regiment ditdi
Face vector 576, 1440, 960, 96
Confer
general polytopal classes:
Wythoffian polychora  
External
links
hedrondude   polytopewiki   WikiChoron  

As abstract polytope guti is isomorphic to suti, thereby replacing octagons by octagrams, and thus tic by quith, girco by quitco and additionally querco by sirco. – As such guti is a lieutenant.


Incidence matrix according to Dynkin symbol

      4      
    x---x    
  3 |   | 3  
    x---o    
     4/3     
x3x4x3o4/3*a

. . . .      | 576 |   2   1   2 |   2   2   1   2   1 |  2  1  1  1
-------------+-----+-------------+---------------------+------------
x . . .      |   2 | 576   *   * |   1   1   1   0   0 |  1  1  1  0
. x . .      |   2 |   * 288   * |   2   0   0   2   0 |  2  1  0  1
. . x .      |   2 |   *   * 576 |   0   1   0   1   1 |  1  0  1  1
-------------+-----+-------------+---------------------+------------
x3x . .      |   6 |   3   3   0 | 192   *   *   *   * |  1  1  0  0
x . x .      |   4 |   2   0   2 |   * 288   *   *   * |  1  0  1  0
x . . o4/3*a |   4 |   4   0   0 |   *   * 144   *   * |  0  1  1  0
. x4x .      |   8 |   0   4   4 |   *   *   * 144   * |  1  0  0  1
. . x3o      |   3 |   0   0   3 |   *   *   *   * 192 |  0  0  1  1
-------------+-----+-------------+---------------------+------------
x3x4x .        48 |  24  24  24 |   8  12   0   6   0 | 24  *  *  *
x3x . o4/3*a   24 |  24  12   0 |   8   0   6   0   0 |  * 24  *  *
x . x3o4/3*a   24 |  24   0  24 |   0  12   6   0   8 |  *  * 24  *
. x4x3o        24 |   0  12  24 |   0   0   0   6   8 |  *  *  * 24

      4      
    x---x    
  3 |   | 3/2
    x---o    
      4      
x3x4x3/2o4*a

. . .   .    | 576 |   2   1   2 |   2   2   1   2   1 |  2  1  1  1
-------------+-----+-------------+---------------------+------------
x . .   .    |   2 | 576   *   * |   1   1   1   0   0 |  1  1  1  0
. x .   .    |   2 |   * 288   * |   2   0   0   2   0 |  2  1  0  1
. . x   .    |   2 |   *   * 576 |   0   1   0   1   1 |  1  0  1  1
-------------+-----+-------------+---------------------+------------
x3x .   .    |   6 |   3   3   0 | 192   *   *   *   * |  1  1  0  0
x . x   .    |   4 |   2   0   2 |   * 288   *   *   * |  1  0  1  0
x . .   o4*a |   4 |   4   0   0 |   *   * 144   *   * |  0  1  1  0
. x4x   .    |   8 |   0   4   4 |   *   *   * 144   * |  1  0  0  1
. . x3/2o    |   3 |   0   0   3 |   *   *   *   * 192 |  0  0  1  1
-------------+-----+-------------+---------------------+------------
x3x4x   .      48 |  24  24  24 |   8  12   0   6   0 | 24  *  *  *
x3x .   o4*a   24 |  24  12   0 |   8   0   6   0   0 |  * 24  *  *
x . x3/2o4*a   24 |  24   0  24 |   0  12   6   0   8 |  *  * 24  *
. x4x3/2o      24 |   0  12  24 |   0   0   0   6   8 |  *  *  * 24

© 2004-2025
top of page