Acronym cogart (old: gocart)
Name celligreatorhombated triacontiditeron
(great cellirhombated triacontiditeron),
stericantitruncated pentacross
Field of sections
 ©
Circumradius sqrt[33+12 sqrt(2)]/2 = 3.534493
Vertex figure
 ©    ©
Coordinates ((1+3 sqrt(2))/2, (1+2 sqrt(2))/2, (1+sqrt(2))/2, 1/2, 1/2)   & all permutations, all changes of sign
General of army (is itself convex)
Colonel of regiment (is itself locally convex – uniform polyteral members:
by cells: gidpith grip prit shiddip sichado sircope soccope tope
sibcotdin 1032080100400
cogart 0321080040080
& others)
Confer
related segmentotera:
gidpithip  
general polytopal classes:
partial Stott expansions  
External
links
hedrondude   wikipedia  

As abstract polytope cogart is isomorphic to quicgrat, thereby replacing sirco by querco, resp. sircope by quercope and prit by paqrit.


Incidence matrix according to Dynkin symbol

x3x3x3o4x

. . . . . | 1920 |   1   1    2    2 |   1   2   2   2   2   1   2   1 |   2   2   1   2   1   1   2   1  1 |  1  2  1  1  1
----------+------+-------------------+---------------------------------+------------------------------------+---------------
x . . . . |    2 | 960   *    *    * |   1   2   2   0   0   0   0   0 |   2   2   1   2   1   0   0   0  0 |  1  2  1  1  0
. x . . . |    2 |   * 960    *    * |   1   0   0   2   2   0   0   0 |   2   2   0   0   0   1   2   1  0 |  1  2  1  0  1
. . x . . |    2 |   *   * 1920    * |   0   1   0   1   0   1   1   0 |   1   0   1   1   0   1   1   0  1 |  1  1  0  1  1
. . . . x |    2 |   *   *    * 1920 |   0   0   1   0   1   0   1   1 |   0   1   0   1   1   0   1   1  1 |  0  1  1  1  1
----------+------+-------------------+---------------------------------+------------------------------------+---------------
x3x . . . |    6 |   3   3    0    0 | 320   *   *   *   *   *   *   * |   2   2   0   0   0   0   0   0  0 |  1  2  1  0  0
x . x . . |    4 |   2   0    2    0 |   * 960   *   *   *   *   *   * |   1   0   1   1   0   0   0   0  0 |  1  1  0  1  0
x . . . x |    4 |   2   0    0    2 |   *   * 960   *   *   *   *   * |   0   1   0   1   1   0   0   0  0 |  0  1  1  1  0
. x3x . . |    6 |   0   3    3    0 |   *   *   * 640   *   *   *   * |   1   0   0   0   0   1   1   0  0 |  1  1  0  0  1
. x . . x |    4 |   0   2    0    2 |   *   *   *   * 960   *   *   * |   0   1   0   0   0   0   1   1  0 |  0  1  1  0  1
. . x3o . |    3 |   0   0    3    0 |   *   *   *   *   * 640   *   * |   0   0   1   0   0   1   0   0  1 |  1  0  0  1  1
. . x . x |    4 |   0   0    2    2 |   *   *   *   *   *   * 960   * |   0   0   0   1   0   0   1   0  1 |  0  1  0  1  1
. . . o4x |    4 |   0   0    0    4 |   *   *   *   *   *   *   * 480 |   0   0   0   0   1   0   0   1  1 |  0  0  1  1  1
----------+------+-------------------+---------------------------------+------------------------------------+---------------
x3x3x . .    24 |  12  12   12    0 |   4   6   0   4   0   0   0   0 | 160   *   *   *   *   *   *   *  * |  1  1  0  0  0
x3x . . x    12 |   6   6    0    6 |   2   0   3   0   3   0   0   0 |   * 320   *   *   *   *   *   *  * |  0  1  1  0  0
x . x3o .     6 |   3   0    6    0 |   0   3   0   0   0   2   0   0 |   *   * 320   *   *   *   *   *  * |  1  0  0  1  0
x . x . x     8 |   4   0    4    4 |   0   2   2   0   0   0   2   0 |   *   *   * 480   *   *   *   *  * |  0  1  0  1  0
x . . o4x     8 |   4   0    0    8 |   0   0   4   0   0   0   0   2 |   *   *   *   * 240   *   *   *  * |  0  0  1  1  0
. x3x3o .    12 |   0   6   12    0 |   0   0   0   4   0   4   0   0 |   *   *   *   *   * 160   *   *  * |  1  0  0  0  1
. x3x . x    12 |   0   6    6    6 |   0   0   0   2   3   0   3   0 |   *   *   *   *   *   * 320   *  * |  0  1  0  0  1
. x . o4x     8 |   0   4    0    8 |   0   0   0   0   4   0   0   2 |   *   *   *   *   *   *   * 240  * |  0  0  1  0  1
. . x3o4x    24 |   0   0   24   24 |   0   0   0   0   0   8  12   6 |   *   *   *   *   *   *   *   * 80 |  0  0  0  1  1
----------+------+-------------------+---------------------------------+------------------------------------+---------------
x3x3x3o .    60 |  30  30   60    0 |  10  30   0  20   0  20   0   0 |   5   0  10   0   0   5   0   0  0 | 32  *  *  *  *
x3x3x . x    48 |  24  24   24   24 |   8  12  12   8  12   0  12   0 |   2   4   0   6   0   0   4   0  0 |  * 80  *  *  *
x3x . o4x    24 |  12  12    0   24 |   4   0  12   0  12   0   0   6 |   0   4   0   0   3   0   0   3  0 |  *  * 80  *  *
x . x3o4x    48 |  24   0   48   48 |   0  24  24   0   0  16  24  12 |   0   0   8  12   6   0   0   0  2 |  *  *  * 40  *
. x3x3o4x   192 |   0  96  192  192 |   0   0   0  64  96  64  96  48 |   0   0   0   0   0  16  32  24  8 |  *  *  *  * 10

snubbed forms: x3x3x3o4s

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