Acronym branq (old: dranq)
Name birectified hecatonicosihexapentacosiheptacontihexaexon
Circumradius sqrt(15)/2 = 1.936492
Dihedral angles
(at margins)
  • at dot between brag and bril:   arccos[-2/sqrt(7)] = 139.106605°
  • at rix between bril and rojak:   arccos[-sqrt(3/7)] = 130.893395°
  • at rat between brag and rojak:   arccos[-1/sqrt(3)] = 125.264390°
  • at dot between brag and bril:   120°
  • at hin between rojak and rojak:   arccos(-1/3) = 109.471221°
Face vector 4032, 60480, 161280, 161280, 68040, 12345, 758
Confer
general polytopal classes:
Wythoffian polyexa  
External
links
wikipedia   polytopewiki  

Incidence matrix according to Dynkin symbol

o3o3o3o *c3x3o3o

. . . .    . . . | 4032     30 |     90    30 |    60    30    90    10 |    15   15    60    30    30 |   3   15   15   20   10 |  3   5   5
-----------------+------+-------+--------------+-------------------------+------------------------------+-------------------------+-----------
. . . .    x . . |    2 | 60480 |      6     2 |     6     3    12     1 |     2    3    12     6     6 |   1    4    6    6    3 |  2   2   3
-----------------+------+-------+--------------+-------------------------+------------------------------+-------------------------+-----------
. . o . *c3x . . |    3 |     3 | 120960     * |     2     1     2     0 |     1    2     4     2     1 |   1    2    4    2    1 |  2   1   2
. . . .    x3o . |    3 |     3 |      * 40320 |     0     0     6     1 |     0    0     6     3     6 |   0    2    3    6    3 |  1   2   3
-----------------+------+-------+--------------+-------------------------+------------------------------+-------------------------+-----------
. o3o . *c3x . .     4 |     6 |      4     0 | 60480     *     *     * |     1    1     2     0     0 |   1    2    2    1    0 |  2   1   1
. . o3o *c3x . .     4 |     6 |      4     0 |     * 30240     *     * |     0    2     0     2     0 |   1    0    4    0    1 |  2   0   2
. . o . *c3x3o .     6 |    12 |      4     4 |     *     * 60480     * |     0    0     2     1     1 |   0    1    2    2    1 |  1   1   2
. . . .    x3o3o     4 |     6 |      0     4 |     *     *     * 10080      0    0     0     0     6 |   0    0    0    6    3 |  0   3   2
-----------------+------+-------+--------------+-------------------------+------------------------------+-------------------------+-----------
o3o3o . *c3x . .     5 |    10 |     10     0 |     5     0     0     0 | 12096    *     *     *     * |   1    2    0    0    0 |  2   1   0
. o3o3o *c3x . .     8 |    24 |     32     0 |     8     8     0     0 |     * 7560     *     *     * |   1    0    2    0    0 |  2   0   1
. o3o . *c3x3o .    10 |    30 |     20    10 |     5     0     5     0 |     *    * 24192     *     * |   0    1    1    1    0 |  1   1   1
. . o3o *c3x3o .    10 |    30 |     20    10 |     0     5     5     0 |     *    *     * 12096     * |   0    0    2    0    1 |  1   0   2
. . o . *c3x3o3o    10 |    30 |     10    20 |     0     0     5     5 |     *    *     *     * 12096 |   0    0    0    2    1 |  0   1   2
-----------------+------+-------+--------------+-------------------------+------------------------------+-------------------------+-----------
o3o3o3o *c3x . .    16 |    80 |    160     0 |    80    40     0     0 |    16   10     0     0     0 | 756    *    *    *    * |  2   0   0
o3o3o . *c3x3o .    15 |    60 |     60    20 |    30     0    15     0 |     6    0     6     0     0 |   * 4032    *    *    * |  1   1   0
. o3o3o *c3x3o .    40 |   240 |    320    80 |    80    80    80     0 |     0   10    16    16     0 |   *    * 1512    *    * |  1   0   1
. o3o . *c3x3o3o    20 |    90 |     60    60 |    15     0    30    15 |     0    0     6     0     6 |   *    *    * 4032    * |  0   1   1
. . o3o *c3x3o3o    20 |    90 |     60    60 |     0    15    30    15 |     0    0     0     6     6 |   *    *    *    * 2016 |  0   0   2
-----------------+------+-------+--------------+-------------------------+------------------------------+-------------------------+-----------
o3o3o3o *c3x3o .   216 |  2160 |   4320   720 |  2160  1080  1080     0 |   432  270   432   216     0 |  27   72   27    0    0 | 56   *   *
o3o3o . *c3x3o3o    35 |   210 |    210   140 |   105     0   105    35 |    21    0    42     0    21 |   0    7    0    7    0 |  * 576   *
. o3o3o *c3x3o3o   160 |  1440 |   1920   960 |   480   480   960   240 |     0   60   192   192   192 |   0    0   12   32   32 |  *   * 126

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