Acronym	rek
Name	rectified diacosipentacontahexazetton
Circumradius	1
Coordinates	(1/sqrt(2), 1/sqrt(2), 0, 0, 0, 0, 0, 0)   & all permutations, all changes of sign
External links

Incidence matrix according to Dynkin symbol

o3x3o3o3o3o3o4o

. . . . . . . . | 112 ♦   24 |  12  120 |   60  320 |  160   480 |  240  384 |  192  128 |  64  2
----------------+-----+------+----------+-----------+------------+-----------+-----------+-------
. x . . . . . . |   2 | 1344 |   1   10 |   10   40 |   40    80 |   80   80 |   80   32 |  32  1
----------------+-----+------+----------+-----------+------------+-----------+-----------+-------
o3x . . . . . . |   3 |    3 | 448    * ♦   10    0 |   40     0 |   80    0 |   80    0 |  32  0
. x3o . . . . . |   3 |    3 |   * 4480 |    1    8 |    8    24 |   24   32 |   32   16 |  16  1
----------------+-----+------+----------+-----------+------------+-----------+-----------+-------
o3x3o . . . . . ♦   6 |   12 |   4    4 | 1120    * ♦    8     0 |   24    0 |   32    0 |  16  0
. x3o3o . . . . ♦   4 |    6 |   0    4 |    * 8960 |    1     6 |    6   12 |   12    8 |   8  1
----------------+-----+------+----------+-----------+------------+-----------+-----------+-------
o3x3o3o . . . . ♦  10 |   30 |  10   20 |    5    5 | 1792     * ♦    6    0 |   12    0 |   8  0
. x3o3o3o . . . ♦   5 |   10 |   0   10 |    0    5 |    * 10752 |    1    4 |    4    4 |   4  1
----------------+-----+------+----------+-----------+------------+-----------+-----------+-------
o3x3o3o3o . . . ♦  15 |   60 |  20   60 |   15   30 |    6     6 | 1792    * |    4    0 |   4  0
. x3o3o3o3o . . ♦   6 |   15 |   0   20 |    0   15 |    0     6 |    * 7168 |    1    2 |   2  1
----------------+-----+------+----------+-----------+------------+-----------+-----------+-------
o3x3o3o3o3o . . ♦  21 |  105 |  35  140 |   35  105 |   21    42 |    7    7 | 1024    * |   2  0
. x3o3o3o3o3o . ♦   7 |   21 |   0   35 |    0   35 |    0    21 |    0    7 |    * 2048 |   1  1
----------------+-----+------+----------+-----------+------------+-----------+-----------+-------
o3x3o3o3o3o3o . ♦  28 |  168 |  56  280 |   70  280 |   56   168 |   28   56 |    8    8 | 256  *
. x3o3o3o3o3o4o ♦  14 |   84 |   0  280 |    0  560 |    0   672 |    0  448 |    0  128 |   * 16

o3o3o *b3o3o3o3x3o

. . .    . . . . . | 112 ♦   24 |  120  12 |  320   60 |   480  160 |  384  240 |   64   64  192 |  2  32  32
-------------------+-----+------+----------+-----------+------------+-----------+----------------+-----------
. . .    . . . x . |   2 | 1344 |   10   1 |   40   10 |    80   40 |   80   80 |   16   16   80 |  1  16  16
-------------------+-----+------+----------+-----------+------------+-----------+----------------+-----------
. . .    . . o3x . |   3 |    3 | 4480   * |    8    1 |    24    8 |   32   24 |    8    8   32 |  1   8   8
. . .    . . . x3o |   3 |    3 |    * 448 ♦    0   10 |     0   40 |    0   80 |    0    0   80 |  0  16  16
-------------------+-----+------+----------+-----------+------------+-----------+----------------+-----------
. . .    . o3o3x . ♦   4 |    6 |    4   0 | 8960    * |     6    1 |   12    6 |    4    4   12 |  1   4   4
. . .    . . o3x3o ♦   6 |   12 |    4   4 |    * 1120 ♦     0    8 |    0   24 |    0    0   32 |  0   8   8
-------------------+-----+------+----------+-----------+------------+-----------+----------------+-----------
. . .    o3o3o3x . ♦   5 |   10 |   10   0 |    5    0 | 10752    * |    4    1 |    2    2    4 |  1   2   2
. . .    . o3o3x3o ♦  10 |   30 |   20  10 |    5    5 |     * 1792 ♦    0    6 |    0    0   12 |  0   4   4
-------------------+-----+------+----------+-----------+------------+-----------+----------------+-----------
. o . *b3o3o3o3x . ♦   6 |   15 |   20   0 |   15    0 |     6    0 | 7168    * |    1    1    1 |  1   1   1
. . .    o3o3o3x3o ♦  15 |   60 |   60  20 |   30   15 |     6    6 |    * 1792 |    0    0    4 |  0   2   2
-------------------+-----+------+----------+-----------+------------+-----------+----------------+-----------
o3o . *b3o3o3o3x . ♦   7 |   21 |   35   0 |   35    0 |    21    0 |    7    0 | 1024    *    * |  1   1   0
. o3o *b3o3o3o3x . ♦   7 |   21 |   35   0 |   35    0 |    21    0 |    7    0 |    * 1024    * |  1   0   1
. o . *b3o3o3o3x3o ♦  21 |  105 |  140  35 |  105   35 |    42   21 |    7    7 |    *    * 1024 |  0   1   1
-------------------+-----+------+----------+-----------+------------+-----------+----------------+-----------
o3o3o *b3o3o3o3x . ♦  14 |   84 |  280   0 |  560    0 |   672    0 |  448    0 |   64   64    0 | 16   *   *
o3o . *b3o3o3o3x3o ♦  28 |  168 |  280  56 |  280   70 |   168   56 |   56   28 |    8    0    8 |  * 128   *
. o3o *b3o3o3o3x3o ♦  28 |  168 |  280  56 |  280   70 |   168   56 |   56   28 |    0    8    8 |  *   * 128