Acronym barm (older: scram, even older: bram, again older: remak, oldest kram)
Name birectified pentacontitetrapeton
(small centrorhombated pentacontitetrapeton)
Circumradius sqrt(6) = 2.449490
External
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Incidence matrix according to Dynkin symbol

o3x3o3x3o *c3o

. . . . .    . | 2160 |    6    6 |    3    6   12    6    3 |    3    6   12    2    6    3    2 |   6   1   3   6   4   1 |  3  2  2
---------------+------+-----------+--------------------------+------------------------------------+-------------------------+---------
. x . . .    . |    2 | 6480    * |    1    2    2    0    0 |    2    2    4    1    1    0    0 |   4   1   1   2   2   0 |  2  2  1
. . . x .    . |    2 |    * 6480 |    0    0    2    2    1 |    0    1    4    0    2    2    1 |   2   0   1   4   2   1 |  2  1  2
---------------+------+-----------+--------------------------+------------------------------------+-------------------------+---------
o3x . . .    . |    3 |    3    0 | 2160    *    *    *    * |    2    2    0    0    0    0    0 |   4   1   1   0   0   0 |  2  2  0
. x3o . .    . |    3 |    3    0 |    * 4320    *    *    * |    1    0    2    1    0    0    0 |   2   1   0   1   2   0 |  1  2  1
. x . x .    . |    4 |    2    2 |    *    * 6480    *    * |    0    1    2    0    1    0    0 |   2   0   1   2   1   0 |  2  1  1
. . o3x .    . |    3 |    0    3 |    *    *    * 4320    * |    0    0    2    0    0    1    1 |   1   0   0   2   2   1 |  1  1  2
. . . x3o    . |    3 |    0    3 |    *    *    *    * 2160 |    0    0    0    0    2    2    0 |   0   0   1   4   0   1 |  2  0  2
---------------+------+-----------+--------------------------+------------------------------------+-------------------------+---------
o3x3o . .    .     6 |   12    0 |    4    4    0    0    0 | 1080    *    *    *    *    *    * |   2   1   0   0   0   0 |  1  2  0
o3x . x .    .     6 |    6    3 |    2    0    3    0    0 |    * 2160    *    *    *    *    * |   2   0   1   0   0   0 |  2  1  0
. x3o3x .    .    12 |   12   12 |    0    4    6    4    0 |    *    * 2160    *    *    *    * |   1   0   0   1   1   0 |  1  1  1
. x3o . . *c3o     4 |    6    0 |    0    4    0    0    0 |    *    *    * 1080    *    *    * |   0   1   0   0   2   0 |  0  2  1
. x . x3o    .     6 |    3    6 |    0    0    3    0    2 |    *    *    *    * 2160    *    * |   0   0   1   2   0   0 |  2  0  1
. . o3x3o    .     6 |    0   12 |    0    0    0    4    4 |    *    *    *    *    * 1080    * |   0   0   0   2   0   1 |  1  0  2
. . o3x . *c3o     4 |    0    6 |    0    0    0    4    0 |    *    *    *    *    *    * 1080 |   0   0   0   0   2   1 |  0  1  2
---------------+------+-----------+--------------------------+------------------------------------+-------------------------+---------
o3x3o3x .    .    30 |   60   30 |   20   20   30   10    0 |    5   10    5    0    0    0    0 | 432   *   *   *   *   * |  1  1  0
o3x3o . . *c3o    10 |   30    0 |   10   20    0    0    0 |    5    0    0    5    0    0    0 |   * 216   *   *   *   * |  0  2  0
o3x . x3o    .     9 |    9    9 |    3    0    9    0    3 |    0    3    0    0    3    0    0 |   *   * 720   *   *   * |  2  0  0
. x3o3x3o    .    30 |   30   60 |    0   10   30   20   20 |    0    0    5    0   10    5    0 |   *   *   * 432   *   * |  1  0  1
. x3o3x . *c3o    32 |   48   48 |    0   32   24   32    0 |    0    0    8    8    0    0    8 |   *   *   *   * 270   * |  0  1  1
. . o3x3o *c3o    10 |    0   30 |    0    0    0   20   10 |    0    0    0    0    0    5    5 |   *   *   *   *   * 216 |  0  0  2
---------------+------+-----------+--------------------------+------------------------------------+-------------------------+---------
o3x3o3x3o    .    90 |  180  180 |   60   60  180   60   60 |   15   60   30    0   60   15    0 |   6   0  20   6   0   0 | 72  *  *
o3x3o3x . *c3o   160 |  480  240 |  160  320  240  160    0 |   80   80   80   80    0    0   40 |  16  16   0   0  10   0 |  * 27  *
. x3o3x3o *c3o   160 |  240  480 |    0  160  240  320  160 |    0    0   80   40   80   80   80 |   0   0   0  16  10  16 |  *  * 27

or
. . . . .    .    | 2160 |    12 |    6   12   12 |    6   12   12    4 |  12   2   3   4 |  3  4
------------------+------+-------+----------------+---------------------+-----------------+------
. x . . .    .  & |    2 | 12960 |    1    2    2 |    2    3    4    1 |   6   1   1   2 |  2  3
------------------+------+-------+----------------+---------------------+-----------------+------
o3x . . .    .  & |    3 |     3 | 4320    *    * |    2    2    0    0 |   4   1   1   0 |  2  2
. x3o . .    .  & |    3 |     3 |    * 8640    * |    1    0    2    1 |   3   1   0   2 |  1  3
. x . x .    .    |    4 |     4 |    *    * 6480 |    0    2    2    0 |   4   0   1   1 |  2  2
------------------+------+-------+----------------+---------------------+-----------------+------
o3x3o . .    .  &     6 |    12 |    4    4    0 | 2160    *    *    * |   2   1   0   0 |  1  2
o3x . x .    .  &     6 |     9 |    2    0    3 |    * 4320    *    * |   2   0   1   0 |  2  1
. x3o3x .    .       12 |    24 |    0    8    6 |    *    * 2160    * |   2   0   0   1 |  1  2
. x3o . . *c3o  &     4 |     6 |    0    4    0 |    *    *    * 2160 |   0   1   0   2 |  0  3
------------------+------+-------+----------------+---------------------+-----------------+------
o3x3o3x .    .  &    30 |    90 |   20   30   30 |    5   10    5    0 | 864   *   *   * |  1  1
o3x3o . . *c3o  &    10 |    30 |   10   20    0 |    5    0    0    5 |   * 432   *   * |  0  2
o3x . x3o    .        9 |    18 |    6    0    9 |    0    6    0    0 |   *   * 720   * |  2  0
. x3o3x . *c3o       32 |    96 |    0   64   24 |    0    0    8   16 |   *   *   * 270 |  0  2
------------------+------+-------+----------------+---------------------+-----------------+------
o3x3o3x3o    .       90 |   360 |  120  120  180 |   30  120   30    0 |  12   0  20   0 | 72  *
o3x3o3x . *c3o  &   160 |   720 |  160  480  240 |   80   80   80  120 |  16  16   0  10 |  * 54

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