Acronym robay
Name rectified diacositetracont-myriaheptachiliadiacosioctaconta-zetton,
t1(21,4)
Circumradius sqrt(7) = 2.645751
Inradius
wrt. roc
5/2 = 2.5
Inradius
wrt. hesa
7/sqrt(8) = 2.474874
Inradius
wrt. rolaq
2
Volume 457563/112 = 4085.383929
Dihedral angles
(at margins)
Face vector 69120, 1451520, 5322240, 7257600, 4717440, 1693440, 313440, 19680
Confer
general polytopal classes:
Wythoffian polyzetta  
analogs:
rectified Gossetic r(n2,1)  
External
links
wikipedia   polytopewiki

Incidence matrix according to Dynkin symbol

o3x3o3o *c3o3o3o3o

. . . .    . . . . | 69120       42 |     21     210 |     105      70     280 |     35    140     70     210 |    35    105     42     84 |   21     42    14     14 |   7     7    2
-------------------+-------+---------+----------------+-------------------------+------------------------------+----------------------------+--------------------------+---------------
. x . .    . . . . |     2 | 1451520 |      1      10 |      10       5      20 |      5     20     10      20 |    10     20     10     10 |   10     10     5      2 |   5     2    1
-------------------+-------+---------+----------------+-------------------------+------------------------------+----------------------------+--------------------------+---------------
o3x . .    . . . . |     3 |       3 | 483840       *       10       0       0 |      5     20      0       0 |    10     20      0      0 |   10     10     0      0 |   5     2    0
. x3o .    . . . . |     3 |       3 |      * 4838400 |       1       1       4 |      1      4      4       6 |     4      6      6      4 |    6      4     4      1 |   4     1    1
-------------------+-------+---------+----------------+-------------------------+------------------------------+----------------------------+--------------------------+---------------
o3x3o .    . . . .      6 |      12 |      4       4 | 1209600       *       * |      1      4      0       0 |     4      6      0      0 |    6      4     0      0 |   4     1    0
. x3o3o    . . . .      4 |       6 |      0       4 |       * 1209600       * |      1      0      4       0 |     4      0      6      0 |    6      0     4      0 |   4     0    1
. x3o . *c3o . . .      4 |       6 |      0       4 |       *       * 4838400 |      0      1      1       3 |     1      3      3      3 |    3      3     3      1 |   3     1    1
-------------------+-------+---------+----------------+-------------------------+------------------------------+----------------------------+--------------------------+---------------
o3x3o3o    . . . .     10 |      30 |     10      20 |       5       5       0 | 241920      *      *       *      4      0      0      0 |    6      0     0      0 |   4     0    0
o3x3o . *c3o . . .     10 |      30 |     10      20 |       5       0       5 |      * 967680      *       * |     1      3      0      0 |    3      3     0      0 |   3     1    0
. x3o3o *c3o . . .      8 |      24 |      0      32 |       0       8       8 |      *      * 604800       * |     1      0      3      0 |    3      0     3      0 |   3     0    1
. x3o . *c3o3o . .      5 |      10 |      0      10 |       0       0       5 |      *      *      * 2903040 |     0      1      1      2 |    1      2     2      1 |   2     1    1
-------------------+-------+---------+----------------+-------------------------+------------------------------+----------------------------+--------------------------+---------------
o3x3o3o *c3o . . .     40 |     240 |     80     320 |      80      80      80 |     16     16     10       0 | 60480      *      *      * |    3      0     0      0 |   3     0    0
o3x3o . *c3o3o . .     15 |      60 |     20      60 |      15       0      30 |      0      6      0       6 |     * 483840      *      * |    1      2     0      0 |   2     1    0
. x3o3o *c3o3o . .     16 |      80 |      0     160 |       0      40      80 |      0      0     10      16 |     *      * 181440      * |    1      0     2      0 |   2     0    1
. x3o . *c3o3o3o .      6 |      15 |      0      20 |       0       0      15 |      0      0      0       6 |     *      *      * 967680 |    0      1     1      1 |   1     1    1
-------------------+-------+---------+----------------+-------------------------+------------------------------+----------------------------+--------------------------+---------------
o3x3o3o *c3o3o . .    216 |    2160 |    720    4320 |    1080    1080    2160 |    216    432    270     432 |    27     72     27      0 | 6720      *     *      * |   2     0    0
o3x3o . *c3o3o3o .     21 |     105 |     35     140 |      35       0     105 |      0     21      0      42 |     0      7      0      7 |    * 138240     *      * |   1     1    0
. x3o3o *c3o3o3o .     32 |     240 |      0     640 |       0     160     480 |      0      0     60     192 |     0      0     12     32 |    *      * 30240      * |   1     0    1
. x3o . *c3o3o3o3o      7 |      21 |      0      35 |       0       0      35 |      0      0      0      21 |     0      0      0      7 |    *      *     * 138240 |   0     1    1
-------------------+-------+---------+----------------+-------------------------+------------------------------+----------------------------+--------------------------+---------------
o3x3o3o *c3o3o3o .   2016 |   30240 |  10080   80640 |   20160   20160   60480 |   4032  12096   7560   24192 |   756   4032   1512   4032 |   56    576   126      0 | 240     *    *
o3x3o . *c3o3o3o3o     28 |     168 |     56     280 |      70       0     280 |      0     56      0     168 |     0     28      0     56 |    0      8     0      8 |   * 17280    *
. x3o3o *c3o3o3o3o     64 |     672 |      0    2240 |       0     560    2240 |      0      0    280    1344 |     0      0     84    448 |    0      0    14     64 |   *     * 2160

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