Acronym tark
Name trirectified diacosipentacontahexazetton
Circumradius sqrt(2) = 1.414214
Coordinates (1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 0, 0, 0, 0)   & all permutations, all changes of sign
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Incidence matrix according to Dynkin symbol

o3o3o3x3o3o3o4o

. . . . . . . . | 1120     32 |    48    96 |   32   144   128 |    8    96   192    64 |   24  128   96   4 |   32   64   6 |  16  4
----------------+------+-------+-------------+------------------+------------------------+--------------------+---------------+-------
. . . x . . . . |    2 | 17920 |     3     6 |    3    18    12 |    1    18    36     8 |    6   36   24   1 |   12   24   3 |   8  3
----------------+------+-------+-------------+------------------+------------------------+--------------------+---------------+-------
. . o3x . . . . |    3 |     3 | 17920     * |    2     6     0 |    1    12    12     0 |    6   24    8   0 |   12   16   1 |   8  2
. . . x3o . . . |    3 |     3 |     * 35840 |    0     3     4 |    0     3    12     4 |    1   12   12   1 |    4   12   3 |   4  3
----------------+------+-------+-------------+------------------+------------------------+--------------------+---------------+-------
. o3o3x . . . .     4 |     6 |     4     0 | 8960     *     * |    1     6     0     0 |    6   12    0   0 |   12    8   0 |   8  1
. . o3x3o . . .     6 |    12 |     4     4 |    * 26880     * |    0     2     4     0 |    1    8    4   0 |    4    8   1 |   4  2
. . . x3o3o . .     4 |     6 |     0     4 |    *     * 35840 |    0     0     3     2 |    0    3    6   1 |    1    6   3 |   2  3
----------------+------+-------+-------------+------------------+------------------------+--------------------+---------------+-------
o3o3o3x . . . .     5 |    10 |    10     0 |    5     0     0 | 1792     *     *     *     6    0    0   0 |   12    0   0 |   8  0
. o3o3x3o . . .    10 |    30 |    20    10 |    5     5     0 |    * 10752     *     * |    1    4    0   0 |    4    4   0 |   4  1
. . o3x3o3o . .    10 |    30 |    10    20 |    0     5     5 |    *     * 21504     * |    0    2    2   0 |    1    4   1 |   2  2
. . . x3o3o3o .     5 |    10 |     0    10 |    0     0     5 |    *     *     * 14336 |    0    0    3   1 |    0    3   3 |   1  3
----------------+------+-------+-------------+------------------+------------------------+--------------------+---------------+-------
o3o3o3x3o . . .    15 |    60 |    60    20 |   30    15     0 |    6     6     0     0 | 1792    *    *   * |    4    0   0 |   4  0
. o3o3x3o3o . .    20 |    90 |    60    60 |   15    30    15 |    0     6     6     0 |    * 7168    *   * |    1    2   0 |   2  1
. . o3x3o3o3o .    15 |    60 |    20    60 |    0    15    30 |    0     0     6     6 |    *    * 7168   * |    0    2   1 |   1  2
. . . x3o3o3o4o    10 |    40 |     0    80 |    0     0    80 |    0     0     0    32 |    *    *    * 448 |    0    0   3 |   0  3
----------------+------+-------+-------------+------------------+------------------------+--------------------+---------------+-------
o3o3o3x3o3o . .    35 |   210 |   210   140 |  105   105    35 |   21    42    21     0 |    7    7    0   0 | 1024    *   * |   2  0
. o3o3x3o3o3o .    35 |   210 |   140   210 |   35   105   105 |    0    21    42    21 |    0    7    7   0 |    * 2048   * |   1  1
. . o3x3o3o3o4o    60 |   480 |   160   960 |    0   240   960 |    0     0   192   384 |    0    0   64  12 |    *    * 112 |   0  2
----------------+------+-------+-------------+------------------+------------------------+--------------------+---------------+-------
o3o3o3x3o3o3o .    70 |   560 |   560   560 |  280   420   280 |   56   168   168    56 |   28   56   28   0 |    8    8   0 | 256  *
. o3o3x3o3o3o4o   280 |  3360 |  2240  6720 |  560  3360  6720 |    0   672  2688  2688 |    0  448  896  84 |    0  128  14 |   * 16

o3o3o *b3o3x3o3o3o

. . .    . . . . . | 1120     32 |    96    48 |   128   144   32 |   32   32   192    96    8 |   4   48   48  128   24 |   6   32   32   32 |  4   8   8
-------------------+------+-------+-------------+------------------+----------------------------+-------------------------+--------------------+-----------
. . .    . x . . . |    2 | 17920 |     6     3 |    12    18    3 |    4    4    36    18    1 |   1   12   12   36    6 |   3   12   12   12 |  3   4   4
-------------------+------+-------+-------------+------------------+----------------------------+-------------------------+--------------------+-----------
. . .    o3x . . . |    3 |     3 | 35840     * |     4     3    0 |    2    2    12     3    0 |   1    6    6   12    1 |   3    6    6    4 |  3   2   2
. . .    . x3o . . |    3 |     3 |     * 17920 |     0     6    2 |    0    0    12    12    1 |   0    0    8   24    6 |   1    8    8   12 |  2   4   4
-------------------+------+-------+-------------+------------------+----------------------------+-------------------------+--------------------+-----------
. o . *b3o3x . . .     4 |     6 |     4     0 | 35840     *    * |    1    1     3     0    0 |   1    3    3    3    0 |   3    3    3    1 |  3   1   1
. . .    o3x3o . .     6 |    12 |     4     4 |     * 26880    * |    0    0     4     2    0 |   0    2    2    8    1 |   1    4    4    4 |  2   2   2
. . .    . x3o3o .     4 |     6 |     0     4 |     *     * 8960 |    0    0     0     6    1 |   0    0    0   12    6 |   0    4    4   12 |  1   4   4
-------------------+------+-------+-------------+------------------+----------------------------+-------------------------+--------------------+-----------
o3o . *b3o3x . . .     5 |    10 |    10     0 |     5     0    0 | 7168    *     *     *    * |   1    3    0    0    0 |   3    3    0    0 |  3   1   0
. o3o *b3o3x . . .     5 |    10 |    10     0 |     5     0    0 |    * 7168     *     *    * |   1    0    3    0    0 |   3    0    3    0 |  3   0   1
. o . *b3o3x3o . .    10 |    30 |    20    10 |     5     5    0 |    *    * 21504     *    * |   0    1    1    2    0 |   1    2    2    1 |  2   1   1
. . .    o3x3o3o .    10 |    30 |    10    20 |     0     5    5 |    *    *     * 10752    * |   0    0    0    4    1 |   0    2    2    4 |  1   2   2
. . .    . x3o3o3o     5 |    10 |     0    10 |     0     0    5 |    *    *     *     * 1792    0    0    0    0    6 |   0    0    0   12 |  0   4   4
-------------------+------+-------+-------------+------------------+----------------------------+-------------------------+--------------------+-----------
o3o3o *b3o3x . . .    10 |    40 |    80     0 |    80     0    0 |   16   16     0     0    0 | 448    *    *    *    * |   3    0    0    0 |  3   0   0
o3o . *b3o3x3o . .    15 |    60 |    60    20 |    30    15    0 |    6    0     6     0    0 |   * 3584    *    *    * |   1    2    0    0 |  2   1   0
. o3o *b3o3x3o . .    15 |    60 |    60    20 |    30    15    0 |    0    6     6     0    0 |   *    * 3584    *    * |   1    0    2    0 |  2   0   1
. o . *b3o3x3o3o .    20 |    90 |    60    60 |    15    30   15 |    0    0     6     6    0 |   *    *    * 7168    * |   0    1    1    1 |  1   1   1
. . .    o3x3o3o3o    15 |    60 |    20    60 |     0    15   30 |    0    0     0     6    6 |   *    *    *    * 1792 |   0    0    0    4 |  0   2   2
-------------------+------+-------+-------------+------------------+----------------------------+-------------------------+--------------------+-----------
o3o3o *b3o3x3o . .    60 |   480 |   960   160 |   960   240    0 |  192  192   192     0    0 |  12   32   32    0    0 | 112    *    *    * |  2   0   0
o3o . *b3o3x3o3o .    35 |   210 |   210   140 |   105   105   35 |   21    0    42    21    0 |   0    7    0    7    0 |   * 1024    *    * |  1   1   0
. o3o *b3o3x3o3o .    35 |   210 |   210   140 |   105   105   35 |    0   21    42    21    0 |   0    0    7    7    0 |   *    * 1024    * |  1   0   1
. o . *b3o3x3o3o3o    35 |   210 |   140   210 |    35   105  105 |    0    0    21    42   21 |   0    0    0    7    7 |   *    *    * 1024 |  0   1   1
-------------------+------+-------+-------------+------------------+----------------------------+-------------------------+--------------------+-----------
o3o3o *b3o3x3o3o .   280 |  3360 |  6720  2240 |  6720  3360  560 | 1344 1344  2688  6720    0 |  84  448  448  448    0 |  14   64   64    0 | 16   *   *
o3o . *b3o3x3o3o3o    70 |   560 |   560   560 |   280   420  280 |   56    0   168   168   56 |   0   28    0   56   28 |   0    8    0    8 |  * 128   *
. o3o *b3o3x3o3o3o    70 |   560 |   560   560 |   280   420  280 |    0   56   168   168   56 |   0    0   28   56   28 |   0    0    8    8 |  *   * 128

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