Acronym brinquoh
Name birectified hecatonicosihexa-pentacosiheptacontihexa-exic heptacomb

Incidence matrix according to Dynkin symbol

o3o3x3o3o3o3o *d3o   (N → ∞)

. . . . . . .    . | 672N      45 |     45    180 |    15    180    180     60 |    60    180    60     90    45 |    60   20    90   45    18   18 |   30  15   18  18   3 |   6 6 3
-------------------+------+--------+---------------+----------------------------+---------------------------------+----------------------------------+-----------------------+--------
. . x . . . .    . |    2 | 15120N |      2      8 |     1     16     12      4 |     8     24     8      8     6 |    12    4    16   12     2    4 |    8   6    4   8   1 |   2 4 2
-------------------+------+--------+---------------+----------------------------+---------------------------------+----------------------------------+-----------------------+--------
. o3x . . . .    . |    3 |      3 | 10080N      * |     1      8      0      0 |     8     12     4      0     0 |    12    4     8    6     0    0 |    8   6    2   4   0 |   2 4 1
. . x3o . . .    . |    3 |      3 |      * 40320N |     0      2      3      1 |     1      6     2      3     3 |     3    1     6    6     1    3 |    3   3    2   6   1 |   1 3 2
-------------------+------+--------+---------------+----------------------------+---------------------------------+----------------------------------+-----------------------+--------
o3o3x . . . .    .     4 |      6 |      4      0 | 2520N      *      *      *      8      0     0      0     0 |    12    4     0    0     0    0 |    8   6    0   0   0 |   2 4 0
. o3x3o . . .    .     6 |     12 |      4      4 |     * 20160N      *      * |     1      3     1      0     0 |     3    1     3    3     0    0 |    3   3    1   3   0 |   1 3 1
. . x3o3o . .    .     4 |      6 |      0      4 |     *      * 30240N      * |     0      2     0      2     1 |     1    0     4    2     1    2 |    2   1    2   4   1 |   1 2 2
. . x3o . . . *d3o     4 |      6 |      0      4 |     *      *      * 10080N |     0      0     2      0     3 |     0    1     0    6     0    3 |    0   3    0   6   1 |   0 3 2
-------------------+------+--------+---------------+----------------------------+---------------------------------+----------------------------------+-----------------------+--------
o3o3x3o . . .    .    10 |     30 |     20     10 |     5      5      0      0 | 4032N      *     *      *     * |     3    1     0    0     0    0 |    3   3    0   0   0 |   1 3 0
. o3x3o3o . .    .    10 |     30 |     10     20 |     0      5      5      0 |     * 12096N     *      *     * |     1    0     2    1     0    0 |    2   1    1   2   0 |   1 2 1
. o3x3o . . . *d3o    10 |     30 |     10     20 |     0      5      0      5 |     *      * 4032N      *     * |     0    1     0    3     0    0 |    0   3    0   3   0 |   0 3 1
. . x3o3o3o .    .     5 |     10 |      0     10 |     0      0      5      0 |     *      *     * 12096N     * |     0    0     2    0     1    1 |    1   0    2   2   1 |   1 1 2
. . x3o3o . . *d3o     8 |     24 |      0     32 |     0      0      8      8 |     *      *     *      * 3780N |     0    0     0    2     0    2 |    0   1    0   4   1 |   0 2 2
-------------------+------+--------+---------------+----------------------------+---------------------------------+----------------------------------+-----------------------+--------
o3o3x3o3o . .    .    20 |     90 |     60     60 |    15     30     15      0 |     6      6     0      0     0 | 2016N    *     *    *     *    * |    2   1    0   0   0 |   1 2 0
o3o3x3o . . . *d3o    20 |     90 |     60     60 |    15     30      0     15 |     6      0     6      0     0 |     * 672N     *    *     *    * |    0   3    0   0   0 |   0 3 0
. o3x3o3o3o .    .    15 |     60 |     20     60 |     0     15     30      0 |     0      6     0      6     0 |     *    * 4032N    *     *    * |    1   0    1   1   0 |   1 1 1
. o3x3o3o . . *d3o    40 |    240 |     80    320 |     0     80     80     80 |     0     16    16      0    10 |     *    *     * 756N     *    * |    0   1    0   2   0 |   0 2 1
. . x3o3o3o3o    .     6 |     15 |      0     20 |     0      0     15      0 |     0      0     0      6     0 |     *    *     *    * 2016N    * |    0   0    2   0   1 |   1 0 2
. . x3o3o3o . *d3o    16 |     80 |      0    160 |     0      0     80     40 |     0      0     0     16    10 |     *    *     *    *     * 756N |    0   0    0   2   1 |   0 1 2
-------------------+------+--------+---------------+----------------------------+---------------------------------+----------------------------------+-----------------------+--------
o3o3x3o3o3o .    .    35 |    210 |    140    210 |    35    105    105      0 |    21     42     0     21     0 |     7    0     7    0     0    0 | 576N   *    *   *   * |   1 1 0
o3o3x3o3o . . *d3o   160 |   1440 |    960   1920 |   240    960    480    480 |   192    192   192      0    60 |    32   32     0   12     0    0 |    * 63N    *   *   * |   0 2 0
. o3x3o3o3o3o    .    21 |    105 |     35    140 |     0     35    105      0 |     0     21     0     42     0 |     0    0     7    0     7    0 |    *   * 576N   *   * |   1 0 1
. o3x3o3o3o . *d3o   216 |   2160 |    720   4320 |     0   1080   2160   1080 |     0    432   216    432   270 |     0    0    72   27     0   27 |    *   *    * 56N   * |   0 1 1
. . x3o3o3o3o *d3o    32 |    240 |      0    640 |     0      0    480    160 |     0      0     0    192    60 |     0    0     0    0    32   12 |    *   *    *   * 63N |   0 0 2
-------------------+------+--------+---------------+----------------------------+---------------------------------+----------------------------------+-----------------------+--------
o3o3x3o3o3o3o    .    56 |    420 |    280    560 |    70    280    420      0 |    56    168     0    168     0 |    28    0    56    0    28    0 |    8   0    8   0   0 | 72N * *
o3o3x3o3o3o . *d3o  4032 |  60480 |  40320 120960 | 10080  60480  60480  30240 | 12096  24192 12096  12096  7560 |  4032 2016  4032 1512     0  756 |  576 126    0  56   0 |   * N *
. o3x3o3o3o3o *d3o  2016 |  30240 |  10080  80640 |     0  20160  60480  20160 |     0  12096  4032  24192  7560 |     0    0  4032  756  4032 1512 |    0   0  576  56 126 |   * * N

© 2004-2026
top of page