Acronym ..., 02,1,1,1
Name hyperbolic Gosset pentacomb 02,1,1,1
Circumradius sqrt(-3) = 1.732051 i
Confer
general polytopal classes:
Coxeter-Elte-Gosset polytopes  

Incidence matrix according to Dynkin symbol

o3x3o3o *b3o *b3o   (N,M → ∞)

. . . .    .    . | 40NM     24 |    12    24    12    12 |   12    6    6    8   12   12    6 |    4    6    6   3    4    4    6 |  2  2   3  2
------------------+------+-------+-------------------------+------------------------------------+-----------------------------------+-------------
. x . .    .    . |    2 | 480NM |     1     2     1     1 |    2    1    1    1    2    2    1 |    1    2    2   1    1    1    2 |  1  1   2  1
------------------+------+-------+-------------------------+------------------------------------+-----------------------------------+-------------
o3x . .    .    . |    3 |     3 | 160NM     *     *     * |    2    1    1    0    0    0    0 |    1    2    2   1    0    0    0 |  1  1   2  0
. x3o .    .    . |    3 |     3 |     * 320NM     *     * |    1    0    0    1    1    1    0 |    1    1    1   0    1    1    1 |  1  1   1  1
. x . . *b3o    . |    3 |     3 |     *     * 160NM     * |    0    1    0    0    2    0    1 |    0    2    0   1    1    0    2 |  1  0   2  0
. x . .    . *b3o |    3 |     3 |     *     *     * 160NM |    0    0    1    0    0    2    1 |    0    0    2   1    0    1    2 |  0  1   2  1
------------------+------+-------+-------------------------+------------------------------------+-----------------------------------+-------------
o3x3o .    .    .     6 |    12 |     4     4     0     0 | 80NM    *    *    *    *    *    * |    1    1    1   0    0    0    0 |  1  1   1  0
o3x . . *b3o    .     6 |    12 |     4     0     4     0 |    * 40NM    *    *    *    *    * |    0    2    0   1    0    0    0 |  1  0   2  0
o3x . .    . *b3o     6 |    12 |     4     0     0     4 |    *    * 40NM    *    *    *    * |    0    0    2   1    0    0    0 |  0  1   2  0
. x3o3o    .    .     4 |     6 |     0     4     0     0 |    *    *    * 80NM    *    *    * |    1    0    0   0    1    1    0 |  1  1   0  1
. x3o . *b3o    .     6 |    12 |     0     4     4     0 |    *    *    *    * 80NM    *    * |    0    1    0   0    1    0    1 |  1  0   1  1
. x3o .    . *b3o     6 |    12 |     0     4     0     4 |    *    *    *    *    * 80NM    * |    0    0    1   0    0    1    1 |  0  1   1  1
. x . . *b3o *b3o     6 |    12 |     0     0     4     4 |    *    *    *    *    *    * 40NM |    0    0    0   1    0    0    2 |  0  0   2  1
------------------+------+-------+-------------------------+------------------------------------+-----------------------------------+-------------
o3x3o3o    .    .    10 |    30 |    10    20     0     0 |    5    0    0    5    0    0    0 | 16NM    *    *   *    *    *    * |  1  1   0  0
o3x3o . *b3o    .    24 |    96 |    32    32    32     0 |    8    8    0    0    8    0    0 |    * 10NM    *   *    *    *    * |  1  0   1  0
o3x3o .    . *b3o    24 |    96 |    32    32     0    32 |    8    0    8    0    0    8    0 |    *    * 10NM   *    *    *    * |  0  1   1  0
o3x . . *b3o *b3o    24 |    96 |    32     0    32    32 |    0    8    8    0    0    0    8 |    *    *    * 5NM    *    *    * |  0  0   2  0
. x3o3o *b3o    .    10 |    30 |     0    20    10     0 |    0    0    0    5    5    0    0 |    *    *    *   * 16NM    *    * |  1  0   0  1
. x3o3o    . *b3o    10 |    30 |     0    20     0    10 |    0    0    0    5    0    5    0 |    *    *    *   *    * 16NM    * |  0  1   0  1
. x3o . *b3o *b3o    24 |    96 |     0    32    32    32 |    0    0    0    0    8    8    8 |    *    *    *   *    *    * 10NM |  0  0   1  1
------------------+------+-------+-------------------------+------------------------------------+-----------------------------------+-------------
o3x3o3o *b3o    .    80 |   480 |   160   320   160     0 |   80   40    0   80   80    0    0 |   16   10    0   0   16    0    0 | NM  *   *  *
o3x3o3o    . *b3o    80 |   480 |   160   320     0   160 |   80    0   40   80    0   80    0 |   16    0   10   0    0   16    0 |  * NM   *  *
o3x3o . *b3o *b3o   12M |   96M |   32M   32M   32M   32M |   8M   8M   8M    0   8M   8M   8M |    0    M    M   M    0    0    M |  *  * 10N  *
. x3o3o *b3o *b3o    80 |   480 |     0   320   160   160 |    0    0    0   80   80   80   40 |    0    0    0   0   16   16   10 |  *  *   * NM

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