Acronym ...
Name hyperbolic truncated order 3 icositetrachoric-tetracomb pentacomb
Circumradius sqrt(-11) = 3.316625 i

Incidence matrix according to Dynkin symbol

o3o3o3o4x3x   (N,M → ∞)

. . . . . . | 96NM |     5    1 |    10    5 |    10   10 |    5  10 |   1   5
------------+------+------------+------------+------------+----------+--------
. . . . x . |    2 | 240NM    * |     4    1 |     6    4 |    4   6 |   1   4
. . . . . x |    2 |     * 48NM      0    5 |     0   10 |    0  10 |   0   5
------------+------+------------+------------+------------+----------+--------
. . . o4x . |    4 |     4    0 | 240NM    * |     3    1 |    3   3 |   1   3
. . . . x3x |    6 |     3    3 |     * 80NM      0    4 |    0   6 |   0   4
------------+------+------------+------------+------------+----------+--------
. . o3o4x .     8 |    12    0 |     6    0 | 120NM    * |    2   1 |   1   2
. . . o4x3x    24 |    24   12 |     6    8 |     * 40NM |    0   3 |   0   3
------------+------+------------+------------+------------+----------+--------
. o3o3o4x .    16 |    32    0 |    24    0 |     8    0 | 30NM   * |   1   1
. . o3o4x3x   192 |   288   96 |   144   96 |    24   24 |    * 5NM |   0   2
------------+------+------------+------------+------------+----------+--------
o3o3o3o4x .    32 |    80    0 |    80    0 |    40    0 |   10   0 | 3NM   *
. o3o3o4x3x   48M |   96M  24M |   72M  32M |   24M  12M |   3M   M |   * 10N

snubbed forms: o3o3o3o4s3s

x3x3x4o3o3o   (N,M,K → ∞)

. . . . . . | 96NMK |     1     1      4 |     1     4     4      6 |     4     6     6     4 |    6     4    4    1 |   4    1   1
------------+-------+--------------------+--------------------------+-------------------------+----------------------+-------------
x . . . . . |     2 | 48NMK     *      * |     1     4     0      0 |     4     6     0     0 |    6     4    0    0 |   4    1   0
. x . . . . |     2 |     * 48NMK      *      1     0     4      0 |     4     0     6     0 |    6     0    4    0 |   4    0   1
. . x . . . |     2 |     *     * 192NMK |     0     1     1      3 |     1     3     3     3 |    3     3    3    1 |   3    1   1
------------+-------+--------------------+--------------------------+-------------------------+----------------------+-------------
x3x . . . . |     6 |     3     3      0 | 16NMK     *     *      *      4     0     0     0 |    6     0    0    0 |   4    0   0
x . x . . . |     4 |     2     0      2 |     * 96NMK     *      * |     1     3     0     0 |    3     3    0    0 |   3    1   0
. x3x . . . |     6 |     0     3      3 |     *     * 64NMK      *      1     0     3     0 |    3     0    3    0 |   3    0   1
. . x4o . . |     4 |     0     0      4 |     *     *     * 144NMK |     0     1     1     2 |    1     2    2    1 |   2    1   1
------------+-------+--------------------+--------------------------+-------------------------+----------------------+-------------
x3x3x . . .     24 |    12    12     12 |     4     6     4      0 | 16NMK     *     *     * |    3     0    0    0 |   3    0   0
x . x4o . .      8 |     4     0      8 |     0     4     0      2 |     * 72NMK     *     * |    1     2    0    0 |   2    1   0
. x3x4o . .     24 |     0    12     24 |     0     0     8      6 |     *     * 24NMK     * |    1     0    2    0 |   2    0   1
. . x4o3o .      8 |     0     0     12 |     0     0     0      6 |     *     *     * 48NMK |    0     1    1    1 |   1    1   1
------------+-------+--------------------+--------------------------+-------------------------+----------------------+-------------
x3x3x4o . .    192 |    96    96    192 |    32    96    64     48 |    16    24     8     0 | 3NMK     *    *    * |   2    0   0
x . x4o3o .     16 |     8     0     24 |     0    12     0     12 |     0     6     0     2 |    * 24NMK    *    * |   1    1   0
. x3x4o3o .    192 |     0    96    288 |     0     0    96    144 |     0     0    24    24 |    *     * 2NMK    * |   1    0   1
. . x4o3o3o     16 |     0     0     32 |     0     0     0     24 |     0     0     0     8 |    *     *    * 6NMK |   0    1   1
------------+-------+--------------------+--------------------------+-------------------------+----------------------+-------------
x3x3x4o3o .   192M |   96M   96M   288M |   32M  144M   96M   144M |   24M   72M   24M   24M |   3M   12M    M    0 | 2NK    *   *
x . x4o3o3o     32 |    16     0     64 |     0    32     0     48 |     0    24     0    16 |    0     8    0    2 |   * 3NMK   *
. x3x4o3o3o    48K |     0   24K    96K |     0     0   32K    72K |     0     0   12K   24K |    0     0    K   3K |   *    * 2NM

snubbed forms: s3s3s4o3o3o

© 2004-2025
top of page