Acronym ..., 12,1,1
Name hyperbolic Gosset pentacomb 12,1,1
Circumradius 1/sqrt(-2) = 0.707107 i
Confer
general polytopal classes:
Coxeter-Elte-Gosset polytopes  

Incidence matrix according to Dynkin symbol

x3o3o3o *b3o *b3o   (N,M → ∞)

. . . .    .    . | NM    80 |   480 |  320  160  160 |   80   80   80  40 | 16 16  10
------------------+----+------+-------+----------------+--------------------+----------
x . . .    .    . |  2 | 40NM     12 |   12    6    6 |    4    6    6   3 |  2  2   3
------------------+----+------+-------+----------------+--------------------+----------
x3o . .    .    . |  3 |    3 | 160NM |    2    1    1 |    1    2    2   1 |  1  1   2
------------------+----+------+-------+----------------+--------------------+----------
x3o3o .    .    .   4 |    6 |     4 | 80NM    *    * |    1    1    1   0 |  1  1   1
x3o . . *b3o    .   4 |    6 |     4 |    * 40NM    * |    0    2    0   1 |  1  0   2
x3o . .    . *b3o   4 |    6 |     4 |    *    * 40NM |    0    0    2   1 |  0  1   2
------------------+----+------+-------+----------------+--------------------+----------
x3o3o3o    .    .   5 |   10 |    10 |    5    0    0 | 16NM    *    *   * |  1  1   0
x3o3o . *b3o    .   8 |   24 |    32 |    8    8    0 |    * 10NM    *   * |  1  0   1
x3o3o .    . *b3o   8 |   24 |    32 |    8    0    8 |    *    * 10NM   * |  0  1   1
x3o . . *b3o *b3o   8 |   24 |    32 |    0    8    8 |    *    *    * 5NM |  0  0   2
------------------+----+------+-------+----------------+--------------------+----------
x3o3o3o *b3o    .  16 |   80 |   160 |   80   40    0 |   16   10    0   0 | NM  *   *
x3o3o3o    . *b3o  16 |   80 |   160 |   80    0   40 |   16    0   10   0 |  * NM   *
x3o3o . *b3o *b3o   M |  12M |   32M |   8M   8M   8M |    0    M    M   M |  *  * 10N

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