Acronym jakoh
Name icosiheptaheptacontidipetic hexacomb,
Gosset hexacomb 22,2,
Delone complex of lattice E6
Confer
general polytopal classes:
Coxeter-Elte-Gosset polytopes  
External
links
wikipedia  

Incidence matrix according to Dynkin symbol

x3o3o3o3o *c3o3o   (N → ∞)

. . . . .    . . |  N   72 |  720 | 2160 | 1080 1080 | 216 270 216 | 27 27
-----------------+----+-----+------+------+-----------+-------------+------
x . . . .    . . |  2 | 36N    20 |   90 |   60   60 |  15  30  15 |  6  6
-----------------+----+-----+------+------+-----------+-------------+------
x3o . . .    . . |  3 |   3 | 240N     9 |    9    9 |   3   9   3 |  3  3
-----------------+----+-----+------+------+-----------+-------------+------
x3o3o . .    . .   4 |   6 |    4 | 540N |    2    2 |   1   4   1 |  2  2
-----------------+----+-----+------+------+-----------+-------------+------
x3o3o3o .    . .   5 |  10 |   10 |    5 | 216N    * |   1   2   0 |  2  1
x3o3o . . *c3o .   5 |  10 |   10 |    5 |    * 216N |   0   2   1 |  1  2
-----------------+----+-----+------+------+-----------+-------------+------
x3o3o3o3o    . .   6 |  15 |   20 |   15 |    6    0 | 36N   *   * |  2  0
x3o3o3o . *c3o .  10 |  40 |   80 |   80 |   16   16 |   * 27N   * |  1  1
x3o3o . . *c3o3o   6 |  15 |   20 |   15 |    0    6 |   *   * 36N |  0  2
-----------------+----+-----+------+------+-----------+-------------+------
x3o3o3o3o *c3o .  27 | 216 |  720 | 1080 |  432  216 |  72  27   0 |  N  *
x3o3o3o . *c3o3o  27 | 216 |  720 | 1080 |  216  432 |   0  27  72 |  *  N
or
. . . . .    . .    |  N   72 |  720 | 2160 | 2160 | 432 270 | 54
--------------------+----+-----+------+------+------+---------+---
x . . . .    . .    |  2 | 36N    20 |   90 |  120 |  30  30 | 12
--------------------+----+-----+------+------+------+---------+---
x3o . . .    . .    |  3 |   3 | 240N     9 |   18 |   6   9 |  6
--------------------+----+-----+------+------+------+---------+---
x3o3o . .    . .      4 |   6 |    4 | 540N |    4 |   2   4 |  4
--------------------+----+-----+------+------+------+---------+---
x3o3o3o .    . .  &   5 |  10 |   10 |    5 | 432N |   1   2 |  3
--------------------+----+-----+------+------+------+---------+---
x3o3o3o3o    . .  &   6 |  15 |   20 |   15 |    6 | 72N   * |  2
x3o3o3o . *c3o .     10 |  40 |   80 |   80 |   32 |   * 27N |  2
--------------------+----+-----+------+------+------+---------+---
x3o3o3o3o *c3o .  &  27 | 216 |  720 | 1080 |  648 |  72  27 | 2N

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