Acronym brake
Name birectified chilliaicositetraxennon
Circumradius sqrt(3/2) = 1.224745
Inradius
wrt. riv
1/sqrt(2) = 0.707107
Inradius
wrt. breday
3/sqrt(20) = 0.670820
Coordinates (1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 0, 0, 0, 0, 0, 0, 0)   & all permutations, all changes of sign
Volume 24427/56700 = 0.430811
Dihedral angles
(at margins)
Confer
analogs:
birectified orthoplex brOn  

Incidence matrix according to Dynkin symbol

o3o3x3o3o3o3o3o3o4o

. . . . . . . . . . | 960     42 |    42   252 |   14   252    840 |   84   840   1680 |   280   1680   2016 |   560  2016   1344 |   672  1344   384 |  448   384   3 |  128  3
--------------------+-----+-------+-------------+-------------------+-------------------+---------------------+--------------------+-------------------+----------------+--------
. . x . . . . . . . |   2 | 20160 |     2    12 |    1    24     60 |   12   120    160 |    60    320    240 |   160   480    192 |   240   384    64 |  192   128   1 |   64  2
--------------------+-----+-------+-------------+-------------------+-------------------+---------------------+--------------------+-------------------+----------------+--------
. o3x . . . . . . . |   3 |     3 | 13440     * |    1    12      0 |   12    60      0 |    60    160      0 |   160   240      0 |   240   192     0 |  192    64   0 |   64  1
. . x3o . . . . . . |   3 |     3 |     * 80640 |    0     2     10 |    1    20     40 |    10     80     80 |    40   160     80 |    80   160    32 |   80    64   1 |   32  2
--------------------+-----+-------+-------------+-------------------+-------------------+---------------------+--------------------+-------------------+----------------+--------
o3o3x . . . . . . .    4 |     6 |     4     0 | 3360     *      *    12     0      0 |    60      0      0 |   160     0      0 |   240     0     0 |  192     0   0 |   64  0
. o3x3o . . . . . .    6 |    12 |     4     4 |    * 40320      * |    1    10      0 |    10     40      0 |    40    80      0 |    80    80     0 |   80    32   0 |   32  1
. . x3o3o . . . . .    4 |     6 |     0     4 |    *     * 201600 |    0     2      8 |     1     16     24 |     8    48     32 |    24    64    16 |   32    32   1 |   16  2
--------------------+-----+-------+-------------+-------------------+-------------------+---------------------+--------------------+-------------------+----------------+--------
o3o3x3o . . . . . .   10 |    30 |    20    10 |    5     5      0 | 8064     *      *     10      0      0 |    40     0      0 |    80     0     0 |   80     0   0 |   32  0
. o3x3o3o . . . . .   10 |    30 |    10    20 |    0     5      5 |    * 80640      * |     1      8      0 |     8    24      0 |    24    32     0 |   32    16   0 |   16  1
. . x3o3o3o . . . .    5 |    10 |     0    10 |    0     0      5 |    *     * 322560 |     0      2      6 |     1    12     12 |     6    24     8 |   12    16   1 |    8  2
--------------------+-----+-------+-------------+-------------------+-------------------+---------------------+--------------------+-------------------+----------------+--------
o3o3x3o3o . . . . .   20 |    90 |    60    60 |   15    30     15 |    6     6      0 | 13440      *      *      8     0      0 |    24     0     0 |   32     0   0 |   16  0
. o3x3o3o3o . . . .   15 |    60 |    20    60 |    0    15     30 |    0     6      6 |     * 107520      * |     1     6      0 |     6    12     0 |   12     8   0 |    8  1
. . x3o3o3o3o . . .    6 |    15 |     0    20 |    0     0     15 |    0     0      6 |     *      * 322560 |     0     2      4 |     1     8     4 |    4     8   1 |    4  2
--------------------+-----+-------+-------------+-------------------+-------------------+---------------------+--------------------+-------------------+----------------+--------
o3o3x3o3o3o . . . .   35 |   210 |   140   210 |   35   105    105 |   21    42     21 |     7      7      0 | 15360     *      *      6     0     0 |   12     0   0 |    8  0
. o3x3o3o3o3o . . .   21 |   105 |    35   140 |    0    35    105 |    0    21     42 |     0      7      7 |     * 92160      * |     1     4     0 |    4     4   0 |    4  1
. . x3o3o3o3o3o . .    7 |    21 |     0    35 |    0     0     35 |    0     0     21 |     0      0      7 |     *     * 184320 |     0     2     2 |    1     4   1 |    2  2
--------------------+-----+-------+-------------+-------------------+-------------------+---------------------+--------------------+-------------------+----------------+--------
o3o3x3o3o3o3o . . .   56 |   420 |   280   560 |   70   280    420 |   56   168    168 |    28     56     28 |     8     8      0 | 11520     *     * |    4     0   0 |    4  0
. o3x3o3o3o3o3o . .   28 |   168 |    56   280 |    0    70    280 |    0    56    168 |     0     28     56 |     0     8      8 |     * 46080     * |    1     2   0 |    2  1
. . x3o3o3o3o3o3o .    8 |    28 |     0    56 |    0     0     70 |    0     0     56 |     0      0     28 |     0     0      8 |     *     * 46080 |    0     2   1 |    1  2
--------------------+-----+-------+-------------+-------------------+-------------------+---------------------+--------------------+-------------------+----------------+--------
o3o3x3o3o3o3o3o . .   84 |   756 |   504  1260 |  126   630   1260 |  126   504    756 |    84    252    252 |    36    72     36 |     9     9     0 | 5120     *   * |    2  0
. o3x3o3o3o3o3o3o .   36 |   252 |    84   504 |    0   126    630 |    0   126    504 |     0     84    252 |     0    36     72 |     0     9     9 |    * 10240   * |    1  1
. . x3o3o3o3o3o3o4o   16 |   112 |     0   448 |    0     0   1120 |    0     0   1792 |     0      0   1792 |     0     0   1024 |     0     0   256 |    *     * 180 |    0  2
--------------------+-----+-------+-------------+-------------------+-------------------+---------------------+--------------------+-------------------+----------------+--------
o3o3x3o3o3o3o3o3o .  120 |  1260 |   840  2520 |  210  1260   3150 |  252  1260   2520 |   210    840   1260 |   120   360    360 |    45    90    45 |   10    10   0 | 1024  *
. o3x3o3o3o3o3o3o4o  144 |  2016 |   672  8064 |    0  2016  20160 |    0  4032  32256 |     0   5376  32256 |     0  4608  18432 |     0  2304  4608 |    0   512  18 |    * 20

o3o3o *b3o3o3o3o3x3o3o

. . .    . . . . . . . | 960     42 |   252    42 |    840   252   14 |   1680   840   84 |   2016   1680   280 |   1344  2016   560 |   192   192  1344   672 |   3  192  192  448 |  3  64  64
-----------------------+-----+-------+-------------+-------------------+-------------------+---------------------+--------------------+-------------------------+--------------------+-----------
. . .    . . . . x . . |   2 | 20160 |    12     2 |     60    24    1 |    160   120   12 |    240    320    60 |    192   480   160 |    32    32   384   240 |   1   64   64  192 |  2  32  32
-----------------------+-----+-------+-------------+-------------------+-------------------+---------------------+--------------------+-------------------------+--------------------+-----------
. . .    . . . o3x . . |   3 |     3 | 80640     * |     10     2    0 |     40    20   10 |     80     80    10 |     80   160    40 |    16    16   160    80 |   1   32   32   80 |  2  16  16
. . .    . . . . x3o . |   3 |     3 |     * 13440 |      0    12    1 |      0    60   12 |      0    160    60 |      0   240   160 |     0     0   192   240 |   0   32   32  192 |  1  32  32
-----------------------+-----+-------+-------------+-------------------+-------------------+---------------------+--------------------+-------------------------+--------------------+-----------
. . .    . . o3o3x . .    4 |     6 |     4     0 | 201600     *    * |      8     2    0 |     24     16     1 |     32    48     8 |     8     8    64    24 |   1   16   16   32 |  2   8   8
. . .    . . . o3x3o .    6 |    12 |     4     4 |      * 40320    * |      0    10    1 |      0     40    10 |      0    80    40 |     0     0    80    80 |   0   16   16   80 |  1  16  16
. . .    . . . . x3o3o    4 |     6 |     0     4 |      *     * 3360       0     0   12 |      0      0    60 |      0     0   160 |     0     0     0   240 |   0    0    0  192 |  0  32  32
-----------------------+-----+-------+-------------+-------------------+-------------------+---------------------+--------------------+-------------------------+--------------------+-----------
. . .    . o3o3o3x . .    5 |    10 |    10     0 |      5     0    0 | 322560     *    * |      6      2     0 |     12    12     1 |     4     4    24     6 |   1    8    8   12 |  2   4   4
. . .    . . o3o3x3o .   10 |    30 |    20    10 |      5     5    0 |      * 80640    * |      0      8     1 |      0    24     8 |     0     0    32    24 |   0    8    8   32 |  1   8   8
. . .    . . . o3x3o3o   10 |    30 |    10    20 |      0     5    5 |      *     * 8064       0      0    10 |      0     0    40 |     0     0     0    80 |   0    0    0   80 |  0  16  16
-----------------------+-----+-------+-------------+-------------------+-------------------+---------------------+--------------------+-------------------------+--------------------+-----------
. . .    o3o3o3o3x . .    6 |    15 |    20     0 |     15     0    0 |      6     0    0 | 322560      *     * |      4     2     0 |     2     2     8     1 |   1    4    4    4 |  2   2   2
. . .    . o3o3o3x3o .   15 |    60 |    60    20 |     30    15    0 |      6     6    0 |      * 107520     * |      0     6     1 |     0     0    12     6 |   0    4    4   12 |  1   4   4
. . .    . . o3o3x3o3o   20 |    90 |    60    60 |     15    30   15 |      0     6    6 |      *      * 13440       0     0     8 |     0     0     0    24 |   0    0    0   32 |  0   8   8
-----------------------+-----+-------+-------------+-------------------+-------------------+---------------------+--------------------+-------------------------+--------------------+-----------
. o . *b3o3o3o3o3x . .    7 |    21 |    35     0 |     35     0    0 |     21     0    0 |      7      0     0 | 184320     *     * |     1     1     2     0 |   1    2    2    1 |  2   1   1
. . .    o3o3o3o3x3o .   21 |   105 |   140    35 |    105    35    0 |     42    21    0 |      7      7     0 |      * 92160     * |     0     0     4     1 |   0    2    2    4 |  1   2   2
. . .    . o3o3o3x3o3o   35 |   210 |   210   140 |    105   105   35 |     21    42   21 |      0      7     7 |      *     * 15360      0     0     0     6 |   0    0    0   12 |  0   4   4
-----------------------+-----+-------+-------------+-------------------+-------------------+---------------------+--------------------+-------------------------+--------------------+-----------
o3o . *b3o3o3o3o3x . .    8 |    28 |    56     0 |     70     0    0 |     56     0    0 |     28      0     0 |      8     0     0 | 23040     *     *     * |   1    2    0    0 |  2   1   0
. o3o *b3o3o3o3o3x . .    8 |    28 |    56     0 |     70     0    0 |     56     0    0 |     28      0     0 |      8     0     0 |     * 23040     *     * |   1    0    2    0 |  2   0   1
. o . *b3o3o3o3o3x3o .   28 |   168 |   280    56 |    280    70    0 |    168    56    0 |     56     28     0 |      8     8     0 |     *     * 46080     * |   0    1    1    1 |  1   1   1
. . .    o3o3o3o3x3o3o   56 |   420 |   560   280 |    420   280   70 |    168   168   56 |     28     56    28 |      0     8     8 |     *     *     * 11520 |   0    0    0    4 |  0   2   2
-----------------------+-----+-------+-------------+-------------------+-------------------+---------------------+--------------------+-------------------------+--------------------+-----------
o3o3o *b3o3o3o3o3x . .   16 |   112 |   448     0 |   1120     0    0 |   1792     0    0 |   1792      0     0 |   1024     0     0 |   128   128     0     0 | 180    *    *    * |  2   0   0
o3o . *b3o3o3o3o3x3o .   36 |   252 |   504    84 |    630   126    0 |    504   126    0 |    252     84     0 |     72    36     0 |     9     0     9     0 |   * 5120    *    * |  1   1   0
. o3o *b3o3o3o3o3x3o .   36 |   252 |   504    84 |    630   126    0 |    504   126    0 |    252     84     0 |     72    36     0 |     0     9     9     0 |   *    * 5120    * |  1   0   1
. o . *b3o3o3o3o3x3o3o   84 |   756 |  1260   504 |   1260   630  126 |    756   504  126 |    252    252    84 |     36    72    36 |     0     0     9     9 |   *    *    * 5120 |  0   1   1
-----------------------+-----+-------+-------------+-------------------+-------------------+---------------------+--------------------+-------------------------+--------------------+-----------
o3o3o *b3o3o3o3o3x3o .  144 |  2016 |  8064   672 |  20160  2016    0 |  32256  4032    0 |  32256   5376     0 |  18432  4608     0 |  2304  2304  2304     0 |  18  256  256    0 | 20   *   *
o3o . *b3o3o3o3o3x3o3o  120 |  1260 |  2520   840 |  3150   1260  210 |   2520  1260  252 |   1260    840   210 |    360   360   120 |    45     0    90    45 |   0   10    0   10 |  * 512   *
. o3o *b3o3o3o3o3x3o3o  120 |  1260 |  2520   840 |  3150   1260  210 |   2520  1260  252 |   1260    840   210 |    360   360   120 |     0    45    90    45 |   0    0   10   10 |  *   * 512

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