Acronym rojakip
Name rectified-icosiheptaheptacontidipeton prism
Circumradius sqrt(23/12) = 1.384437
Face vector 432, 4536, 12240, 13680, 7020, 1602, 128
Confer
general polytopal classes:
Wythoffian polyexa   segmentoexa  

Incidence matrix according to Dynkin symbol

x o3x3o3o3o *d3o

. . . . . .    . | 432 |   1   20 |   20   10   60 |  10   60   30   40   20 |   30   40   20  20  10  10  10 |  20  10  10  10   5  5  2 |  5  5  2 1
-----------------+-----+----------+----------------+-------------------------+--------------------------------+---------------------------+-----------
x . . . . .    . |   2 | 216    *    20    0    0 |  10   60    0    0    0 |   30   40   20   0   0   0   0 |  20  10  10  10   0  0  0 |  5  5  2 0
. . x . . .    . |   2 |   * 4320 |    1    1    6 |   1    6    6    6    3 |    6    6    3   6   3   2   3 |   6   3   2   3   2  3  1 |  2  3  1 1
-----------------+-----+----------+----------------+-------------------------+--------------------------------+---------------------------+-----------
x . x . . .    . |   4 |   2    2 | 2160    *    * |   1    6    0    0    0 |    6    6    3   0   0   0   0 |   6   3   2   3   0  0  0 |  2  3  1 0
. o3x . . .    . |   3 |   0    3 |    * 1440    * |   1    0    6    0    0 |    6    0    0   6   3   0   0 |   6   3   0   0   2  3  0 |  2  3  0 1
. . x3o . .    . |   3 |   0    3 |    *    * 8640 |   0    1    1    2    1 |    1    2    1   2   1   1   2 |   2   1   1   2   1  2  1 |  1  2  1 1
-----------------+-----+----------+----------------+-------------------------+--------------------------------+---------------------------+-----------
x o3x . . .    .    6 |   3    6 |    3    2    0 | 720    *    *    *    *     6    0    0   0   0   0   0 |   6   3   0   0   0  0  0 |  2  3  0 0
x . x3o . .    .    6 |   3    6 |    3    0    2 |   * 4320    *    *    * |    1    2    1   0   0   0   0 |   2   1   1   2   0  0  0 |  1  2  1 0
. o3x3o . .    .    6 |   0   12 |    0    4    4 |   *    * 2160    *    * |    1    0    0   2   1   0   0 |   2   1   0   0   1  2  0 |  1  2  0 1
. . x3o3o .    .    4 |   0    6 |    0    0    4 |   *    *    * 4320    * |    0    1    0   1   0   1   1 |   1   0   1   1   1  1  1 |  1  1  1 1
. . x3o . . *d3o    4 |   0    6 |    0    0    4 |   *    *    *    * 2160 |    0    0    1   0   1   0   2 |   0   1   0   2   0  2  1 |  0  2  1 1
-----------------+-----+----------+----------------+-------------------------+--------------------------------+---------------------------+-----------
x o3x3o . .    .   12 |   6   24 |   12    8    8 |   4    4    2    0    0 | 1080    *    *   *   *   *   * |   2   1   0   0   0  0  0 |  1  2  0 0
x . x3o3o .    .    8 |   4   12 |    6    0    8 |   0    4    0    2    0 |    * 2160    *   *   *   *   * |   1   0   1   1   0  0  0 |  1  1  1 0
x . x3o . . *d3o    8 |   4   12 |    6    0    8 |   0    4    0    0    2 |    *    * 1080   *   *   *   * |   0   1   0   2   0  0  0 |  0  2  1 0
. o3x3o3o .    .   10 |   0   30 |    0   10   20 |   0    0    5    5    0 |    *    *    * 864   *   *   * |   1   0   0   0   1  1  0 |  1  1  0 1
. o3x3o . . *d3o   10 |   0   30 |    0   10   20 |   0    0    5    0    5 |    *    *    *   * 432   *   * |   0   1   0   0   0  2  0 |  0  2  0 1
. . x3o3o3o    .    5 |   0   10 |    0    0   10 |   0    0    0    5    0 |    *    *    *   *   * 864   * |   0   0   1   0   1  0  1 |  1  0  1 1
. . x3o3o . *d3o    8 |   0   24 |    0    0   32 |   0    0    0    8    8 |    *    *    *   *   *   * 540 |   0   0   0   1   0  1  1 |  0  1  1 1
-----------------+-----+----------+----------------+-------------------------+--------------------------------+---------------------------+-----------
x o3x3o3o .    .   20 |  10   60 |   30   20   40 |  10   20   10   10    0 |    5    5    0   2   0   0   0 | 432   *   *   *   *  *  * |  1  1  0 0
x o3x3o . . *d3o   20 |  10   60 |   30   20   40 |  10   20   10    0   10 |    5    0    5   0   2   0   0 |   * 216   *   *   *  *  * |  0  2  0 0
x . x3o3o3o    .   10 |   5   20 |   10    0   20 |   0   10    0   10    0 |    0    5    0   0   0   2   0 |   *   * 432   *   *  *  * |  1  0  1 0
x . x3o3o . *d3o   16 |   8   48 |   24    0   64 |   0   32    0   16   16 |    0    8    8   0   0   0   2 |   *   *   * 270   *  *  * |  0  1  1 0
. o3x3o3o3o    .   15 |   0   60 |    0   20   60 |   0    0   15   30    0 |    0    0    0   6   0   6   0 |   *   *   *   * 144  *  * |  1  0  0 1
. o3x3o3o . *d3o   40 |   0  240 |    0   80  320 |   0    0   80   80   80 |    0    0    0  16  16   0  10 |   *   *   *   *   * 54  * |  0  1  0 1
. . x3o3o3o *d3o   16 |   0   80 |    0    0  160 |   0    0    0   80   40 |    0    0    0   0   0  16  10 |   *   *   *   *   *  * 54 |  0  0  1 1
-----------------+-----+----------+----------------+-------------------------+--------------------------------+---------------------------+-----------
x o3x3o3o3o    .   30 |  15  120 |   60   40  120 |  20   60   30   60    0 |   15   30    0  12   0  12   0 |   6   0   6   0   2  0  0 | 72  *  * *
x o3x3o3o . *d3o   80 |  40  480 |  240  160  640 |  80  320  160  160  160 |   80   80   80  32  32   0  20 |  16  16   0  10   0  2  0 |  * 27  * *
x . x3o3o3o *d3o   32 |  16  160 |   80    0  320 |   0  160    0  160   80 |    0   80   40   0   0  32  20 |   0   0  16  10   0  0  2 |  *  * 27 *
. o3x3o3o3o *d3o  216 |   0 2160 |    0  720 4320 |   0    0 1080 2160 1080 |    0    0    0 432 216 432 270 |   0   0   0   0  72 27 27 |  *  *  * 2

oo3xx3oo3oo3oo *c3oo&#x   → height = 1
(rojak || rojak)

o.3o.3o.3o.3o. *c3o.    & | 432 |   20   1 |   10   60   20 |   30   40   20  10   60 |  20  10  10  10   30   40   20 |   5  5  2  20  10  10  10 | 1  5  5  2
--------------------------+-----+----------+----------------+-------------------------+--------------------------------+---------------------------+-----------
.. x. .. .. ..    ..    & |   2 | 4320   * |    1    6    1 |    6    6    3   1    6 |   6   3   2   3    6    6    3 |   2  3  1   6   3   2   3 | 1  2  3  1
oo3oo3oo3oo3oo *c3oo&#x   |   2 |    * 216     0    0   20 |    0    0    0  10   60 |   0   0   0   0   30   40   20 |   0  0  0  20  10  10  10 | 0  5  5  2
--------------------------+-----+----------+----------------+-------------------------+--------------------------------+---------------------------+-----------
o.3x. .. .. ..    ..    & |   3 |    3   0 | 1440    *    * |    6    0    0   1    0 |   6   3   0   0    6    0    0 |   2  3  0   6   3   0   0 | 1  2  3  0
.. x.3o. .. ..    ..    & |   3 |    3   0 |    * 8640    * |    1    2    1   0    1 |   2   1   1   2    1    2    1 |   1  2  1   2   1   1   2 | 1  1  2  1
.. xx .. .. ..    ..&#x   |   4 |    2   2 |    *    * 2160 |    0    0    0   1    6 |   0   0   0   0    6    6    3 |   0  0  0   6   3   2   3 | 0  2  3  1
--------------------------+-----+----------+----------------+-------------------------+--------------------------------+---------------------------+-----------
o.3x.3o. .. ..    ..    &    6 |   12   0 |    4    4    0 | 2160    *    *   *    * |   2   1   0   0    1    0    0 |   1  2  0   2   1   0   0 | 1  1  2  0
.. x.3o.3o. ..    ..    &    4 |    6   0 |    0    4    0 |    * 4320    *   *    * |   1   0   1   1    0    1    0 |   1  1  1   1   0   1   1 | 1  1  1  1
.. x.3o. .. .. *c3o.    &    4 |    6   0 |    0    4    0 |    *    * 2160   *    * |   0   1   0   2    0    0    1 |   0  2  1   0   1   0   2 | 1  0  2  1
oo3xx .. .. ..    ..&#x      6 |    6   3 |    2    0    3 |    *    *    * 720    *    0   0   0   0    6    0    0 |   0  0  0   6   3   0   0 | 0  2  3  0
.. xx3oo .. ..    ..&#x      6 |    6   3 |    0    2    3 |    *    *    *   * 4320 |   0   0   0   0    1    2    1 |   0  0  0   2   1   1   2 | 0  1  2  1
--------------------------+-----+----------+----------------+-------------------------+--------------------------------+---------------------------+-----------
o.3x.3o.3o. ..    ..    &   10 |   30   0 |   10   20    0 |    5    5    0   0    0 | 864   *   *   *    *    *    * |   1  1  0   1   0   0   0 | 1  1  1  0
o.3x.3o. .. .. *c3o.    &   10 |   30   0 |   10   20    0 |    5    0    5   0    0 |   * 432   *   *    *    *    * |   0  2  0   0   1   0   0 | 1  0  2  0
.. x.3o.3o.3o.    ..    &    5 |   10   0 |    0   10    0 |    0    5    0   0    0 |   *   * 864   *    *    *    * |   1  0  1   0   0   1   0 | 1  1  0  1
.. x.3o.3o. .. *c3o.    &    8 |   24   0 |    0   32    0 |    0    8    8   0    0 |   *   *   * 540    *    *    * |   0  1  1   0   0   0   1 | 1  0  1  1
oo3xx3oo .. ..    ..&#x     12 |   24   6 |    8    8   12 |    2    0    0   4    4 |   *   *   *   * 1080    *    * |   0  0  0   2   1   0   0 | 0  1  2  0
.. xx3oo3oo ..    ..&#x      8 |   12   4 |    0    8    6 |    0    2    0   0    4 |   *   *   *   *    * 2160    * |   0  0  0   1   0   1   1 | 0  1  1  1
.. xx3oo .. .. *c3oo&#x      8 |   12   4 |    0    8    6 |    0    0    2   0    4 |   *   *   *   *    *    * 1080 |   0  0  0   0   1   0   2 | 0  0  2  1
--------------------------+-----+----------+----------------+-------------------------+--------------------------------+---------------------------+-----------
o.3x.3o.3o.3o.    ..    &   15 |   60   0 |   20   60    0 |   15   30    0   0    0 |   6   0   6   0    0    0    0 | 144  *  *   *   *   *   * | 1  1  0  0
o.3x.3o.3o. .. *c3o.    &   40 |  240   0 |   80  320    0 |   80   80   80   0    0 |  16  16   0  10    0    0    0 |   * 54  *   *   *   *   * | 1  0  1  0
.. x.3o.3o.3o. *c3o.    &   16 |   80   0 |    0  160    0 |    0   80   40   0    0 |   0   0  16  10    0    0    0 |   *  * 54   *   *   *   * | 1  0  0  1
oo3xx3oo3oo ..    ..&#x     20 |   60  10 |   20   40   30 |   10   10    0  10   20 |   2   0   0   0    5    5    0 |   *  *  * 432   *   *   * | 0  1  1  0
oo3xx3oo .. .. *c3oo&#x     20 |   60  10 |   20   40   30 |   10    0   10  10   20 |   0   2   0   0    5    0    5 |   *  *  *   * 216   *   * | 0  0  2  0
.. xx3oo3oo3oo    ..&#x     10 |   20   5 |    0   20   10 |    0   10    0   0   10 |   0   0   2   0    0    5    0 |   *  *  *   *   * 432   * | 0  1  0  1
.. xx3oo3oo .. *c3oo&#x     16 |   48   8 |    0   64   24 |    0   16   16   0   32 |   0   0   0   2    0    8    8 |   *  *  *   *   *   * 270 | 0  0  1  1
--------------------------+-----+----------+----------------+-------------------------+--------------------------------+---------------------------+-----------
o.3x.3o.3o.3o. *c3o.    &  216 | 2160   0 |  720 4320    0 | 1080 2160 1080   0    0 | 432 216 432 270    0    0    0 |  72 27 27   0   0   0   0 | 2  *  *  *
oo3xx3oo3oo3oo    ..&#x     30 |  120  15 |   40  120   60 |   30   60    0  20   60 |  12   0  12   0   15   30    0 |   2  0  0   6   0   6   0 | * 72  *  *
oo3xx3oo3oo .. *c3oo&#x     80 |  480  40 |  160  640  240 |  160  160  160  80  320 |  32  32   0  20   80   80   80 |   0  2  0  16  16   0  10 | *  * 27  *
.. xx3oo3oo3oo *c3oo&#x     32 |  160  16 |    0  320   80 |    0  160   80   0  160 |   0   0  32  20    0   80   40 |   0  0  2   0   0  16  10 | *  *  * 27

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