Acronym gircaptint (old: grecaptint)
Name great retrocelliprismatotruncated penteractitriacontaditeron
Field of sections
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Circumradius sqrt[35-14 sqrt(2)]/2 = 1.949424
Vertex figure
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Colonel of regiment quicpatint
External
links
hedrondude  

As abstract polytope gircaptint is isomorphic to sircaptint, thereby replacing octagrams by octagons, resp. stop by op, quitco by girco, and quith by tic, resp. gaquidpoth by gidpith, quithip by ticcup, and giphado by siphado.


Incidence matrix according to Dynkin symbol

x4/3x3x3x *b3o3/2*c

.   . . .    .      | 1920 |   1    2    2   1 |   2   2   1   2   2   1   2   1 |  2   2  1   2   1   2   1   1   1 |  2  1  1  1  1
--------------------+------+-------------------+---------------------------------+-----------------------------------+---------------
x   . . .    .      |    2 | 960    *    *   * |   2   2   1   0   0   0   0   0 |  2   2  1   2   1   0   0   0   0 |  2  1  1  1  0
.   x . .    .      |    2 |   * 1920    *   * |   1   0   0   1   1   1   0   0 |  1   1  1   0   0   1   1   1   0 |  1  1  1  0  1
.   . x .    .      |    2 |   *    * 1920   * |   0   1   0   1   0   0   1   1 |  1   0  0   1   1   1   1   0   1 |  1  1  0  1  1
.   . . x    .      |    2 |   *    *    * 960 |   0   0   1   0   2   0   2   0 |  0   2  0   2   0   2   0   1   1 |  2  0  1  1  1
--------------------+------+-------------------+---------------------------------+-----------------------------------+---------------
x4/3x . .    .      |    8 |   4    4    0   0 | 480   *   *   *   *   *   *   * |  1   1  1   0   0   0   0   0   0 |  1  1  1  0  0
x   . x .    .      |    4 |   2    0    2   0 |   * 960   *   *   *   *   *   * |  1   0  0   1   1   0   0   0   0 |  1  1  0  1  0
x   . . x    .      |    4 |   2    0    0   2 |   *   * 480   *   *   *   *   * |  0   2  0   2   0   0   0   0   0 |  2  0  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   1   0   1   0 |  1  0  1  0  1
.   x . . *b3o      |    3 |   0    3    0   0 |   *   *   *   *   * 640   *   * |  0   0  1   0   0   0   1   1   0 |  0  1  1  0  1
.   . x3x    .      |    6 |   0    0    3   3 |   *   *   *   *   *   * 640   * |  0   0  0   1   0   1   0   0   1 |  1  0  0  1  1
.   . x .    o3/2*c |    3 |   0    0    3   0 |   *   *   *   *   *   *   * 640 |  0   0  0   0   1   0   1   0   1 |  0  1  0  1  1
--------------------+------+-------------------+---------------------------------+-----------------------------------+---------------
x4/3x3x .    .         48 |  24   24   24   0 |   6  12   0   8   0   0   0   0 | 80   *  *   *   *   *   *   *   * |  1  1  0  0  0
x4/3x . x    .         16 |   8    8    0   8 |   2   0   4   0   4   0   0   0 |  * 240  *   *   *   *   *   *   * |  1  0  1  0  0
x4/3x . . *b3o         24 |  12   24    0   0 |   6   0   0   0   0   8   0   0 |  *   * 80   *   *   *   *   *   * |  0  1  1  0  0
x   . x3x    .         12 |   6    0    6   6 |   0   3   3   0   0   0   2   0 |  *   *  * 320   *   *   *   *   * |  1  0  0  1  0
x   . x .    o3/2*c     6 |   3    0    6   0 |   0   3   0   0   0   0   0   2 |  *   *  *   * 320   *   *   *   * |  0  1  0  1  0
.   x3x3x    .         24 |   0   12   12  12 |   0   0   0   4   6   0   4   0 |  *   *  *   *   * 160   *   *   * |  1  0  0  0  1
.   x3x . *b3o3/2*c    12 |   0   12   12   0 |   0   0   0   4   0   4   0   4 |  *   *  *   *   *   * 160   *   * |  0  1  0  0  1
.   x . x *b3o          6 |   0    6    0   3 |   0   0   0   0   3   2   0   0 |  *   *  *   *   *   *   * 320   * |  0  0  1  0  1
.   . x3x    o3/2*c    12 |   0    0   12   6 |   0   0   0   0   0   0   4   4 |  *   *  *   *   *   *   *   * 160 |  0  0  0  1  1
--------------------+------+-------------------+---------------------------------+-----------------------------------+---------------
x4/3x3x3x    .        384 | 192  192  192 192 |  48  96  96  64  96   0  64   0 |  8  24  0  32   0  16   0   0   0 | 10  *  *  *  *
x4/3x3x . *b3o3/2*c   192 |  96  192  192   0 |  48  96   0  64   0  64   0  64 |  8   0  8   0  32   0  16   0   0 |  * 10  *  *  *
x4/3x . x *b3o         48 |  24   48    0  24 |  12   0  12   0  24  16   0   0 |  0   6  2   0   0   0   0   8   0 |  *  * 40  *  *
x   . x3x    o3/2*c    24 |  12    0   24  12 |   0  12   6   0   0   0   8   8 |  0   0  0   4   4   0   0   0   2 |  *  *  * 80  *
.   x3x3x *b3o3/2*c    60 |   0   60   60  30 |   0   0   0  20  30  20  20  20 |  0   0  0   0   0   5   5  10   5 |  *  *  *  * 32

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