Acronym ...
Name hyperbolic (order 3) triacontiditeric pentacomb,
hyperbolic Gosset pentacomb 21,1,1
Circumradius 0 i
Dual o3o3o3o4o3x
Confer
general polytopal classes:
noble polytopes   Coxeter-Elte-Gosset polytopes  
External
links
wikipedia   polytopewiki  

Incidence matrix according to Dynkin symbol

x3o3o3o4o3o   (N,M → ∞)

. . . . . . | 10N    M |  12M |  32M |  24M |  3M
------------+-----+-----+------+------+------+----
x . . . . . |   2 | 5NM    24 |   96 |   96 |  24
------------+-----+-----+------+------+------+----
x3o . . . . |   3 |   3 | 40NM     8 |   12 |   6
------------+-----+-----+------+------+------+----
x3o3o . . .    4 |   6 |    4 | 80NM |    3 |  3
------------+-----+-----+------+------+------+----
x3o3o3o . .    5 |  10 |   10 |    5 | 48NM |   2
------------+-----+-----+------+------+------+----
x3o3o3o4o .   10 |  40 |   80 |   80 |   32 | 3NM

x3o3o3o4o *c3o   (N,M → ∞)

. . . . .    . | 10N    M |  12M |  32M |  16M   8M |  M  2M
---------------+-----+-----+------+------+-----------+-------
x . . . .    . |   2 | 5NM    24 |   96 |   64   32 |  8  16
---------------+-----+-----+------+------+-----------+-------
x3o . . .    . |   3 |   3 | 40NM     8 |    8    4 |  2   4
---------------+-----+-----+------+------+-----------+-------
x3o3o . .    .    4 |   6 |    4 | 80NM |    2    1 |  1   2
---------------+-----+-----+------+------+-----------+-------
x3o3o3o .    .    5 |  10 |   10 |    5 | 32NM    * |  1   1
x3o3o . . *c3o    5 |  10 |   10 |    5 |    * 16NM |  0   2
---------------+-----+-----+------+------+-----------+-------
x3o3o3o4o    .   10 |  40 |   80 |   80 |   32    0 | NM   *
x3o3o3o . *c3o   10 |  40 |   80 |   80 |   16   16 |  * 2NM

x3o3o3o o3*c3o

. . . . .    . | 10N    M |  12M |  32M |   8M   8M   8M |  M  M  M
---------------+-----+-----+------+------+----------------+---------
x . . . .    . |   2 | 5NM    24 |   96 |   32   32   32 |  8  8  8
---------------+-----+-----+------+------+----------------+---------
x3o . . .    . |   3 |   3 | 40NM     8 |    4    4    4 |  2  2  2
---------------+-----+-----+------+------+----------------+---------
x3o3o . .    .    4 |   6 |    4 | 80NM |    1    1    1 |  1  1  1
---------------+-----+-----+------+------+----------------+---------
x3o3o3o .    .    5 |  10 |   10 |    5 | 16NM    *    * |  1  1  0
x3o3o . o3*c .    5 |  10 |   10 |    5 |    * 16NM    * |  1  0  1
x3o3o . . *c3o    5 |  10 |   10 |    5 |    *    * 16NM |  0  1  1
---------------+-----+-----+------+------+----------------+---------
x3o3o3o o3*c .   10 |  40 |   80 |   80 |   16   16    0 | NM  *  *
x3o3o3o . *c3o   10 |  40 |   80 |   80 |   16    0   16 |  * NM  *
x3o3o . o3*c3o   10 |  40 |   80 |   80 |    0   16   16 |  *  * NM

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