Acronym tanq
Name truncated hecatonicosihexapentacosiheptacontihexaexon
Circumradius sqrt(19)/2 = 2.179449
Inradius
wrt. jak
7/sqrt(12) = 2.020726
Inradius
wrt. til
9/sqrt(28) = 1.700840
Inradius
wrt. tag
3/2 = 1.5
Volume 37109/140 = 265.064286
Surface [10122+35 sqrt(3)+722 sqrt(7)]/10 = 1209.285422
Dihedral angles
(at margins)
  • at tix between tag and til:   arccos[-2/sqrt(7)] = 139.106605°
  • at hix between jak and til:   arccos[-sqrt(3/7)] = 130.893395°
  • at tac between jak and tag:   arccos[-1/sqrt(3)] = 125.264390°
  • at tix between tag and tag:   120°
Face vector 1512, 12852, 44352, 70560, 48384, 11592, 758
Confer
general polytopal classes:
Wythoffian polyexa  
analogs:
truncated Gossetic t(n2,1)  
External
links
polytopewiki  

Incidence matrix according to Dynkin symbol

o3o3o3o *c3o3x3x

. . . .    . . . | 1512 |    16   1 |    80   16 |   160    80 |    80    40   160 |   16   10   80   40 |  1  16  10
-----------------+------+-----------+------------+-------------+-------------------+---------------------+-----------
. . . .    . x . |    2 | 12096   * |    10    1 |    30    10 |    20    10    30 |    5    5   20   10 |  1   5   5
. . . .    . . x |    2 |     * 756      0   16 |     0    80 |     0     0   160 |    0    0   80   40 |  0  16  10
-----------------+------+-----------+------------+-------------+-------------------+---------------------+-----------
. . . .    o3x . |    3 |     3   0 | 40320    * |     6     1 |     6     3     6 |    2    3    6    3 |  1   2   3
. . . .    . x3x |    6 |     3   3 |     * 4032      0    10 |     0     0    30 |    0    0   20   10 |  0   5   5
-----------------+------+-----------+------------+-------------+-------------------+---------------------+-----------
. . o . *c3o3x .     4 |     6   0 |     4    0 | 60480     * |     2     1     1 |    1    2    2    1 |  1   1   2
. . . .    o3x3x    12 |    12   6 |     4    4 |     * 10080      0     0     6 |    0    0    6    3 |  0   2   3
-----------------+------+-----------+------------+-------------+-------------------+---------------------+-----------
. o3o . *c3o3x .     5 |    10   0 |    10    0 |     5     0 | 24192     *     * |    1    1    1    0 |  1   1   1
. . o3o *c3o3x .     5 |    10   0 |    10    0 |     5     0 |     * 12096     * |    0    2    0    1 |  1   0   2
. . o . *c3o3x3x    20 |    30  10 |    20   10 |     5     5 |     *     * 12096 |    0    0    2    1 |  0   1   2
-----------------+------+-----------+------------+-------------+-------------------+---------------------+-----------
o3o3o . *c3o3x .     6 |    15   0 |    20    0 |    15     0 |     6     0     0 | 4032    *    *    * |  1   1   0
. o3o3o *c3o3x .    10 |    40   0 |    80    0 |    80     0 |    16    16     0 |    * 1512    *    * |  1   0   1
. o3o . *c3o3x3x    30 |    60  15 |    60   20 |    30    15 |     6     0     6 |    *    * 4032    * |  0   1   1
. . o3o *c3o3x3x    30 |    60  15 |    60   20 |    30    15 |     0     6     6 |    *    *    * 2016 |  0   0   2
-----------------+------+-----------+------------+-------------+-------------------+---------------------+-----------
o3o3o3o *c3o3x .    27 |   216   0 |   720    0 |  1080     0 |   432   216     0 |   72   27    0    0 | 56   *   *
o3o3o . *c3o3x3x    42 |   105  21 |   140   35 |   105    35 |    42     0    21 |    7    0    7    0 |  * 576   *
. o3o3o *c3o3x3x   120 |   480  60 |   960  160 |   960   240 |   192   192   192 |    0   12   32   32 |  *   * 126

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