Acronym	botlaq
Name	bitruncated pentacontihexapentacosiheptacontihexaexon
Circumradius	sqrt(17) = 4.123106
Face vector	30240, 151200, 252000, 191520, 72072, 12348, 758
Confer	general polytopal classes: Wythoffian polyexa
External links

Incidence matrix according to Dynkin symbol

o3x3x3o *c3o3o3o

. . . .    . . . | 30240 |     2      8 |     1    16     4     12 |     8     8    24     6     8 |    4    12   12    16     4     2 |   6    8    8    4    1 |  4   2   2
-----------------+-------+--------------+--------------------------+-------------------------------+-----------------------------------+-------------------------+-----------
. x . .    . . . |     2 | 30240      * |     1     8     0      0 |     8     4    12     0     0 |    4    12    6     8     0     0 |   6    8    4    2    0 |  4   2   1
. . x .    . . . |     2 |     * 120960 |     0     2     1      3 |     1     2     6     3     3 |    1     3    6     6     3     1 |   3    3    6    2    1 |  3   1   2
-----------------+-------+--------------+--------------------------+-------------------------------+-----------------------------------+-------------------------+-----------
o3x . .    . . . |     3 |     3      0 | 10080     *     *      * ♦     8     0     0     0     0 |    4    12    0     0     0     0 |   6    8    0    0    0 |  4   2   0
. x3x .    . . . |     6 |     3      3 |     * 80640     *      * |     1     1     3     0     0 |    1     3    3     3     0     0 |   3    3    3    1    0 |  3   1   1
. . x3o    . . . |     3 |     0      3 |     *     * 40320      * |     0     2     0     3     0 |    1     0    6     0     3     0 |   3    0    6    0    1 |  3   0   2
. . x . *c3o . . |     3 |     0      3 |     *     *     * 120960 |     0     0     2     1     2 |    0     1    2     4     2     1 |   1    2    4    2    1 |  2   1   2
-----------------+-------+--------------+--------------------------+-------------------------------+-----------------------------------+-------------------------+-----------
o3x3x .    . . . ♦    12 |    12      6 |     4     4     0      0 | 20160     *     *     *     * |    1     3    0     0     0     0 |   3    3    0    0    0 |  3   1   0
. x3x3o    . . . ♦    12 |     6     12 |     0     4     4      0 |     * 20160     *     *     * |    1     0    3     0     0     0 |   3    0    3    0    0 |  3   0   1
. x3x . *c3o . . ♦    12 |     6     12 |     0     4     0      4 |     *     * 60480     *     * |    0     1    1     2     0     0 |   1    2    2    1    0 |  2   1   1
. . x3o *c3o . . ♦     6 |     0     12 |     0     0     4      4 |     *     *     * 30240     * |    0     0    2     0     2     0 |   1    0    4    0    1 |  2   0   2
. . x . *c3o3o . ♦     4 |     0      6 |     0     0     0      4 |     *     *     *     * 60480 |    0     0    0     2     1     1 |   0    1    2    2    1 |  1   1   2
-----------------+-------+--------------+--------------------------+-------------------------------+-----------------------------------+-------------------------+-----------
o3x3x3o    . . . ♦    30 |    30     30 |    10    20    10      0 |     5     5     0     0     0 | 4032     *    *     *     *     * |   3    0    0    0    0 |  3   0   0
o3x3x . *c3o . . ♦    30 |    30     30 |    10    20     0     10 |     5     0     5     0     0 |    * 12096    *     *     *     * |   1    2    0    0    0 |  2   1   0
. x3x3o *c3o . . ♦    48 |    24     96 |     0    32    32     32 |     0     8     8     8     0 |    *     * 7560     *     *     * |   1    0    2    0    0 |  2   0   1
. x3x . *c3o3o . ♦    20 |    10     30 |     0    10     0     20 |     0     0     5     0     5 |    *     *    * 24192     *     * |   0    1    1    1    0 |  1   1   1
. . x3o *c3o3o . ♦    10 |     0     30 |     0     0    10     20 |     0     0     0     5     5 |    *     *    *     * 12096     * |   0    0    2    0    1 |  1   0   2
. . x . *c3o3o3o ♦     5 |     0     10 |     0     0     0     10 |     0     0     0     0     5 |    *     *    *     *     * 12096 |   0    0    0    2    1 |  0   1   2
-----------------+-------+--------------+--------------------------+-------------------------------+-----------------------------------+-------------------------+-----------
o3x3x3o *c3o . . ♦   240 |   240    480 |    80   320   160    160 |    80    80    80    40     0 |   16    16   10     0     0     0 | 756    *    *    *    * |  2   0   0
o3x3x . *c3o3o . ♦    60 |    60     90 |    20    60     0     60 |    15     0    30     0    15 |    0     6    0     6     0     0 |   * 4032    *    *    * |  1   1   0
. x3x3o *c3o3o . ♦   160 |    80    480 |     0   160   160    320 |     0    40    80    80    80 |    0     0   10    16    16     0 |   *    * 1512    *    * |  1   0   1
. x3x . *c3o3o3o ♦    30 |    15     60 |     0    20     0     60 |     0     0    15     0    30 |    0     0    0     6     0     6 |   *    *    * 4032    * |  0   1   1
. . x3o *c3o3o3o ♦    15 |     0     60 |     0     0    20     60 |     0     0     0    15    30 |    0     0    0     0     6     6 |   *    *    *    * 2016 |  0   0   2
-----------------+-------+--------------+--------------------------+-------------------------------+-----------------------------------+-------------------------+-----------
o3x3x3o *c3o3o . ♦  2160 |  2160   6480 |   720  4320  2160   4320 |  1080  1080  2160  1080  1080 |  216   432  270   432   216     0 |  27   72   27    0    0 | 56   *   *
o3x3x . *c3o3o3o ♦   105 |   105    210 |    35   140     0    210 |    35     0   105     0   105 |    0    21    0    42     0    21 |   0    7    0    7    0 |  * 576   *
. x3x3o *c3o3o3o ♦   480 |   240   1920 |     0   640   640   1920 |     0   160   480   480   960 |    0     0   60   192   192   192 |   0    0   12   32   32 |  *   * 126