Acronym ..., 23,2
Name hyperbolic Gosset heptacomb 23,2
Circumradius 1/sqrt(-3) = 0.577350 i
Confer
general polytopal classes:
Coxeter-Elte-Gosset polytopes  

Incidence matrix according to Dynkin symbol

x3o3o3o3o3o *c3o3o   (N,M → ∞)

. . . . . .    . . |  NM    576 |  10080 |   40320 |  30240  20160 |  12096  7560  4032 |  2016 1512  756 | 126  56
-------------------+-----+-------+--------+---------+---------------+--------------------+-----------------+--------
x . . . . .    . . |   2 | 288NM      35 |     210 |    210    140 |    105   105    35 |    21   42   21 |   7   7
-------------------+-----+-------+--------+---------+---------------+--------------------+-----------------+--------
x3o . . . .    . . |   3 |     3 | 3360NM       12 |     18     12 |     12    12     4 |     3   12    6 |   3   4
-------------------+-----+-------+--------+---------+---------------+--------------------+-----------------+--------
x3o3o . . .    . .    4 |     6 |      4 | 10080NM |      3      2 |      3     6     1 |     1    6    3 |   2   3
-------------------+-----+-------+--------+---------+---------------+--------------------+-----------------+--------
x3o3o3o . .    . .    5 |    10 |     10 |       5 | 6048NM      * |      2     2     0 |     1    4    1 |   2   2
x3o3o . . . *c3o .    5 |    10 |     10 |       5 |      * 4032NM |      0     3     1 |     0    3    3 |   1   3
-------------------+-----+-------+--------+---------+---------------+--------------------+-----------------+--------
x3o3o3o3o .    . .    6 |    15 |     20 |      15 |      6      0 | 2016NM     *     * |     1    2    0 |   2   1
x3o3o3o . . *c3o .   10 |    40 |     80 |      80 |     16     16 |      * 756NM     * |     0    2    1 |   1   2
x3o3o . . . *c3o3o    6 |    15 |     20 |      15 |      0      6 |      *     * 672NM |     0    0    3 |   0   3
-------------------+-----+-------+--------+---------+---------------+--------------------+-----------------+--------
x3o3o3o3o3o    . .    7 |    21 |     35 |      35 |     21      0 |      7     0     0 | 288NM    *    * |   2   0
x3o3o3o3o . *c3o .   27 |   216 |    720 |    1080 |    432    216 |     72    27     0 |     * 56NM    * |   1   1
x3o3o3o . . *c3o3o   27 |   216 |    720 |    1080 |    216    432 |      0    27    72 |     *    * 28NM |   0   2
-------------------+-----+-------+--------+---------+---------------+--------------------+-----------------+--------
x3o3o3o3o3o *c3o .  126 |  2016 |  10080 |   20160 |  12096   4032 |   4032   756     0 |   576   56    0 |  NM   *
x3o3o3o3o . *c3o3o    M |   36M |   240M |    540M |   216M   216M |    36M   27M   36M |     0    M    M |   * 56N

© 2004-2024
top of page