Acronym spiffy
Name small petated dischiliahectohexaconta-myriaheptachiliadiacosioctaconta-zetton
Circumradius sqrt(5) = 2.236068
Face vector 30240, 665280, 4475520, 13305600, 19837440, 15180480, 5206080, 397920
Confer
general polytopal classes:
Wythoffian polyzetta  

Incidence matrix according to Dynkin symbol

x3o3o3o *c3o3o3o3x

. . . .    . . . . | 30240 |     32     12 |     240     192     60 |     640     960     480     160 |    160     480    1920    1440     640     240 |     60     480    192     960    1920     960     480    192 |    12    120    480     32    192    480     640    240    192     32     32 |   1   12    60    160    32    32    1
-------------------+-------+---------------+------------------------+---------------------------------+------------------------------------------------+--------------------------------------------------------------+------------------------------------------------------------------------------+---------------------------------------
x . . .    . . . . |     2 | 483840      * |      15       6      0 |      60      60      15       0 |     20      60     180      90      20       0 |     15      60     30     120     180      60      15      0 |     6     30     60      6     30     60      60     15      6      0      0 |   1    6    15     20     6     1    0
. . . .    . . . x |     2 |      * 181440 |       0      16     10 |       0      80      80      40 |      0       0     160     240     160      80 |      0      40      0      80     320     240     160     80 |     0     10     80      0     16     80     160     80     80     16     16 |   0    1    10     40    16    16    1
-------------------+-------+---------------+------------------------+---------------------------------+------------------------------------------------+--------------------------------------------------------------+------------------------------------------------------------------------------+---------------------------------------
x3o . .    . . . . |     3 |      3      0 | 2419200       *      * |       8       4       0       0 |      4      12      24       6       0       0 |      6      12      8      24      24       4       0      0 |     4     12     12      2      8     12       8      1      0      0      0 |   1    4     6      4     2     0    0
x . . .    . . . x |     4 |      2      2 |       * 1451520      * |       0      10       5       0 |      0       0      30      30      10       0 |      0      10      0      20      60      30      10      0 |     0      5     20      0      5     20      30     10      5      0      0 |   0    1     5     10     5     1    0
. . . .    . . o3x |     3 |      0      3 |       *       * 604800 |       0       0       8       8 |      0       0       0      24      32      24 |      0       0      0       0      32      48      48     32 |     0      0      8      0      0      8      32     24     32      8      8 |   0    0     1      8     8     8    1
-------------------+-------+---------------+------------------------+---------------------------------+------------------------------------------------+--------------------------------------------------------------+------------------------------------------------------------------------------+---------------------------------------
x3o3o .    . . . .      4 |      6      0 |       4       0      0 | 4838400       *       *       * |      1       3       3       0       0       0 |      3       3      3       6       3       0       0      0 |     3      6      3      1      3      3       1      0      0      0      0 |   1    3     3      1     1     0    0
x3o . .    . . . x      6 |      6      3 |       2       3      0 |       * 4838400       *       * |      0       0       6       3       0       0 |      0       3      0       6      12       3       0      0 |     0      3      6      0      2      6       6      1      0      0      0 |   0    1     3      3     2     0    0
x . . .    . . o3x      6 |      3      6 |       0       3      2 |       *       * 2419200       * |      0       0       0       6       4       0 |      0       0      0       0      12      12       6      0 |     0      0      4      0      0      4      12      6      4      0      0 |   0    0     1      4     4     1    0
. . . .    . o3o3x      4 |      0      6 |       0       0      4 |       *       *       * 1209600 |      0       0       0       0       4       6 |      0       0      0       0       0       6      12     12 |     0      0      0      0      0      0       4      6     12      4      4 |   0    0     0      1     4     4    1
-------------------+-------+---------------+------------------------+---------------------------------+------------------------------------------------+--------------------------------------------------------------+------------------------------------------------------------------------------+---------------------------------------
x3o3o3o    . . . .      5 |     10      0 |      10       0      0 |       5       0       0       0 | 967680       *       *       *       *       * |      3       3      0       0       0       0       0      0 |     3      6      3      0      0      0       0      0      0      0      0 |   1    3     3      1     0     0    0
x3o3o . *c3o . . .      5 |     10      0 |      10       0      0 |       5       0       0       0 |      * 2903040       *       *       *       * |      1       0      2       2       0       0       0      0 |     2      2      0      1      2      1       0      0      0      0      0 |   1    2     1      0     1     0    0
x3o3o .    . . . x      8 |     12      4 |       8       6      0 |       2       4       0       0 |      *       * 7257600       *       *       * |      0       1      0       2       2       0       0      0 |     0      2      2      0      1      2       1      0      0      0      0 |   0    1     2      1     1     0    0
x3o . .    . . o3x      9 |      9      9 |       3       9      3 |       0       3       3       0 |      *       *       * 4838400       *       * |      0       0      0       0       4       2       0      0 |     0      0      2      0      0      2       4      1      0      0      0 |   0    0     1      2     2     0    0
x . . .    . o3o3x      8 |      4     12 |       0       6      8 |       0       0       4       2 |      *       *       *       * 2419200       * |      0       0      0       0       0       3       3      0 |     0      0      0      0      0      0       3      3      3      0      0 |   0    0     0      1     3     1    0
. . . .    o3o3o3x      5 |      0     10 |       0       0     10 |       0       0       0       5 |      *       *       *       *       * 1451520 |      0       0      0       0       0       0       2      4 |     0      0      0      0      0      0       0      1      4      2      2 |   0    0     0      0     2     2    1
-------------------+-------+---------------+------------------------+---------------------------------+------------------------------------------------+--------------------------------------------------------------+------------------------------------------------------------------------------+---------------------------------------
x3o3o3o *c3o . . .     10 |     40      0 |      80       0      0 |      80       0       0       0 |     16      16       0       0       0       0 | 181440       *      *       *       *       *       *      * |     2      2      0      0      0      0       0      0      0      0      0 |   1    2     1      0     0     0    0
x3o3o3o    . . . x     10 |     20      5 |      20      10      0 |      10      10       0       0 |      2       0       5       0       0       0 |      * 1451520      *       *       *       *       *      * |     0      2      2      0      0      0       0      0      0      0      0 |   0    1     2      1     0     0    0
x3o3o . *c3o3o . .      6 |     15      0 |      20       0      0 |      15       0       0       0 |      0       6       0       0       0       0 |      *       * 967680       *       *       *       *      * |     1      0      0      1      1      0       0      0      0      0      0 |   1    1     0      0     1     0    0
x3o3o . *c3o . . x     10 |     20      5 |      20      10      0 |      10      10       0       0 |      0       2       5       0       0       0 |      *       *      * 2903040       *       *       *      * |     0      1      0      0      1      1       0      0      0      0      0 |   0    1     1      0     1     0    0
x3o3o .    . . o3x     12 |     18     12 |      12      18      4 |       3      12       6       0 |      0       0       3       4       0       0 |      *       *      *       * 4838400       *       *      * |     0      0      1      0      0      1       1      0      0      0      0 |   0    0     1      1     1     0    0
x3o . .    . o3o3x     12 |     12     18 |       4      18     12 |       0       6      12       3 |      0       0       0       4       3       0 |      *       *      *       *       * 2419200       *      * |     0      0      0      0      0      0       2      1      0      0      0 |   0    0     0      1     2     0    0
x . . .    o3o3o3x     10 |      5     20 |       0      10     20 |       0       0      10      10 |      0       0       0       0       5       2 |      *       *      *       *       *       * 1451520      * |     0      0      0      0      0      0       0      1      2      0      0 |   0    0     0      0     2     1    0
. . o . *c3o3o3o3x      6 |      0     15 |       0       0     20 |       0       0       0      15 |      0       0       0       0       0       6 |      *       *      *       *       *       *       * 967680 |     0      0      0      0      0      0       0      0      1      1      1 |   0    0     0      0     1     1    1
-------------------+-------+---------------+------------------------+---------------------------------+------------------------------------------------+--------------------------------------------------------------+------------------------------------------------------------------------------+---------------------------------------
x3o3o3o *c3o3o . .     27 |    216      0 |     720       0      0 |    1080       0       0       0 |    216     432       0       0       0       0 |     27       0     72       0       0       0       0      0 | 13440      *      *      *      *      *       *      *      *      *      * |   1    1     0      0     0     0    0
x3o3o3o *c3o . . x     20 |     80     10 |     160      40      0 |     160      80       0       0 |     32      32      80       0       0       0 |      2      16      0      16       0       0       0      0 |     * 181440      *      *      *      *       *      *      *      *      * |   0    1     1      0     0     0    0
x3o3o3o    . . o3x     15 |     30     15 |      30      30      5 |      15      30      10       0 |      3       0      15      10       0       0 |      0       3      0       0       5       0       0      0 |     *      * 967680      *      *      *       *      *      *      *      * |   0    0     1      1     0     0    0
x3o3o . *c3o3o3o .      7 |     21      0 |      35       0      0 |      35       0       0       0 |      0      21       0       0       0       0 |      0       0      7       0       0       0       0      0 |     *      *      * 138240      *      *       *      *      *      *      * |   1    0     0      0     1     0    0
x3o3o . *c3o3o . x     12 |     30      6 |      40      15      0 |      30      20       0       0 |      0      12      15       0       0       0 |      0       0      2       6       0       0       0      0 |     *      *      *      * 483840      *       *      *      *      *      * |   0    1     0      0     1     0    0
x3o3o . *c3o . o3x     15 |     30     15 |      30      30      5 |      15      30      10       0 |      0       3      15      10       0       0 |      0       0      0       3       5       0       0      0 |     *      *      *      *      * 967680       *      *      *      *      * |   0    0     1      0     1     0    0
x3o3o .    . o3o3x     16 |     24     24 |      16      36     16 |       4      24      24       4 |      0       0       6      16       6       0 |      0       0      0       0       4       4       0      0 |     *      *      *      *      *      * 1209600      *      *      *      * |   0    0     0      1     1     0    0
x3o . .    o3o3o3x     15 |     15     30 |       5      30     30 |       0      10      30      15 |      0       0       0      10      15       3 |      0       0      0       0       0       5       3      0 |     *      *      *      *      *      *       * 483840      *      *      * |   0    0     0      0     2     0    0
x . o . *c3o3o3o3x     12 |      6     30 |       0      15     40 |       0       0      20      30 |      0       0       0       0      15      12 |      0       0      0       0       0       0       6      2 |     *      *      *      *      *      *       *      * 483840      *      * |   0    0     0      0     1     1    0
. o3o . *c3o3o3o3x      7 |      0     21 |       0       0     35 |       0       0       0      35 |      0       0       0       0       0      21 |      0       0      0       0       0       0       0      7 |     *      *      *      *      *      *       *      *      * 138240      * |   0    0     0      0     1     0    1
. . o3o *c3o3o3o3x      7 |      0     21 |       0       0     35 |       0       0       0      35 |      0       0       0       0       0      21 |      0       0      0       0       0       0       0      7 |     *      *      *      *      *      *       *      *      *      * 138240 |   0    0     0      0     0     1    1
-------------------+-------+---------------+------------------------+---------------------------------+------------------------------------------------+--------------------------------------------------------------+------------------------------------------------------------------------------+---------------------------------------
x3o3o3o *c3o3o3o .    126 |   2016      0 |   10080       0      0 |   20160       0       0       0 |   4032   12096       0       0       0       0 |    756       0   4032       0       0       0       0      0 |    56      0      0    576      0      0       0      0      0      0      0 | 240    *     *      *     *     *    *
x3o3o3o *c3o3o . x     54 |    432     27 |    1440     216      0 |    2160     720       0       0 |    432     864    1080       0       0       0 |     54     216    144     432       0       0       0      0 |     2     27      0      0     72      0       0      0      0      0      0 |   * 6720     *      *     *     *    *
x3o3o3o *c3o . o3x     30 |    120     30 |     240     120     10 |     240     240      40       0 |     48      48     240      80       0       0 |      3      48      0      48      80       0       0      0 |     0      3     16      0      0     16       0      0      0      0      0 |   *    * 60480      *     *     *    *
x3o3o3o    . o3o3x     20 |     40     30 |      40      60     20 |      20      60      40       5 |      4       0      30      40      10       0 |      0       6      0       0      20      10       0      0 |     0      0      4      0      0      0       5      0      0      0      0 |   *    *     * 241920     *     *    *
x3o3o . *c3o3o3o3x     56 |    168    168 |     280     420    280 |     280     560     560     280 |      0     168     420     560     420     168 |      0       0     56     168     280     280     168     56 |     0      0      0      8     28     56      70     56     28      8      0 |   *    *     *      * 17280     *    *
x . o3o *c3o3o3o3x     14 |      7     42 |       0      21     70 |       0       0      35      70 |      0       0       0       0      35      42 |      0       0      0       0       0       0      21     14 |     0      0      0      0      0      0       0      0      7      0      2 |   *    *     *      *     * 69120    *
. o3o3o *c3o3o3o3x     14 |      0     84 |       0       0    280 |       0       0       0     560 |      0       0       0       0       0     672 |      0       0      0       0       0       0       0    448 |     0      0      0      0      0      0       0      0      0     64     64 |   *    *     *      *     *     * 2160

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