3_41

Acronym	..., 3_4,1
Name	hyperbolic Gosset octacomb 3_4,1
Circumradius	1/sqrt(-4) = 0.5 i
Confer	general polytopal classes: Coxeter-Elte-Gosset polytopes
Incidence matrix according to Dynkin symbol
x3o3o3o3o3o3o3o *d3o   (N,M → ∞)

. . . . . . . .    . | NM ♦   2160 |   69120 |   486840 |  1209600 |   967680  241920 |  483840  60480 |  138240  6720 |  17280  240
---------------------+----+--------+---------+----------+----------+------------------+----------------+---------------+------------
x . . . . . . .    . |  2 | 1080NM ♦      64 |      672 |     2240 |     2240     560 |    1344    280 |     448    84 |     64   14
---------------------+----+--------+---------+----------+----------+------------------+----------------+---------------+------------
x3o . . . . . .    . |  3 |      3 | 23040NM ♦       21 |      105 |      140      35 |     105     35 |      42    21 |      7    7
---------------------+----+--------+---------+----------+----------+------------------+----------------+---------------+------------
x3o3o . . . . .    . ♦  4 |      6 |       4 | 121710NM ♦       10 |       20       5 |      20     10 |      10    10 |      2    5
---------------------+----+--------+---------+----------+----------+------------------+----------------+---------------+------------
x3o3o3o . . . .    . ♦  5 |     10 |      10 |        5 | 241920NM |        4       1 |       6      4 |       4     6 |      1    4
---------------------+----+--------+---------+----------+----------+------------------+----------------+---------------+------------
x3o3o3o3o . . .    . ♦  6 |     15 |      20 |       15 |        6 | 161280NM       * |       3      1 |       3     3 |      1    3
x3o3o3o . . . . *d3o ♦  6 |     15 |      20 |       15 |        6 |        * 40320NM ♦       0      4 |       0     6 |      0    4
---------------------+----+--------+---------+----------+----------+------------------+----------------+---------------+------------
x3o3o3o3o3o . .    . ♦  7 |     21 |      35 |       35 |       21 |        7       0 | 69120NM      * |       2     1 |      1    2
x3o3o3o3o . . . *d3o ♦ 12 |     60 |     160 |      240 |      192 |       32      32 |       * 5040NM |       0     3 |      0    3
---------------------+----+--------+---------+----------+----------+------------------+----------------+---------------+------------
x3o3o3o3o3o3o .    . ♦  8 |     28 |      56 |       70 |       56 |       28       0 |       8      0 | 17280NM     * |      1    1
x3o3o3o3o3o . . *d3o ♦ 56 |    756 |    4032 |    10080 |    12096 |     4032    2016 |     576    126 |       * 120NM |      0    2
---------------------+----+--------+---------+----------+----------+------------------+----------------+---------------+------------
x3o3o3o3o3o3o3o    . ♦  9 |     36 |      84 |      126 |      126 |       84       0 |      36      0 |       9     0 | 1920NM    *
x3o3o3o3o3o3o . *d3o ♦  M |    63M |    672M |    2520M |    4032M |    2016M    672M |    576M    63M |     72M     M |      * 240N
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