Acronym	bru
Name	birectified hendecaxennon, Gosset polytope 07,2
Circumradius	sqrt(12/11) = 1.044466
Inradius wrt. reday	4/sqrt(55) = 0.539360
Inradius wrt. breday	3/sqrt(220) = 0.202260
Volume	299 sqrt(11)/725760 = 0.0013664
Surface	16621 sqrt(5)/580608 = 0.064012
Dihedral angles (at margins)	at rene between breday and reday:   arccos(-1/10) = 95.739170° at ene between reday and reday:   arccos(1/10) = 84.260830° at brene between breday and breday:   arccos(1/10) = 84.260830°
Face vector	165, 1980, 5940, 9570, 10164, 7392, 3630, 1155, 220, 22
Confer	general polytopal classes: Wythoffian polyxenna   segmentoxenna   fundamental lace prisms   Coxeter-Elte-Gosset polytopes   analogs: birectified simplex brSn
External links

Incidence matrix according to Dynkin symbol

o3o3x3o3o3o3o3o3o3o

. . . . . . . . . . | 165 ♦   24 |   24   84 |   8   84  168 |  28  168  210 |  56  210  168 |  70  168   84 |  56  84  24 | 28  24  3 |  8  3
--------------------+-----+------+-----------+---------------+---------------+---------------+---------------+-------------+-----------+------
. . x . . . . . . . |   2 | 1980 |    2    7 |   1   14   21 |   7   42   35 |  21   70   35 |  35   70   21 |  35  42   7 | 21  14  1 |  7  2
--------------------+-----+------+-----------+---------------+---------------+---------------+---------------+-------------+-----------+------
. o3x . . . . . . . |   3 |    3 | 1320    * |   1    7    0 |   7   21    0 |  21   35    0 |  35   35    0 |  35  21   0 | 21   7  0 |  7  1
. . x3o . . . . . . |   3 |    3 |    * 4620 |   0    2    6 |   1   12   15 |   6   30   20 |  15   40   15 |  20  30   6 | 15  12  1 |  6  2
--------------------+-----+------+-----------+---------------+---------------+---------------+---------------+-------------+-----------+------
o3o3x . . . . . . . ♦   4 |    6 |    4    0 | 330    *    * ♦   7    0    0 |  21    0    0 |  35    0    0 |  35   0   0 | 21   0  0 |  7  0
. o3x3o . . . . . . ♦   6 |   12 |    4    4 |   * 2310    * |   1    6    0 |   6   15    0 |  15   20    0 |  20  15   0 | 15   6  0 |  6  1
. . x3o3o . . . . . ♦   4 |    6 |    0    4 |   *    * 6930 |   0    2    5 |   1   10   10 |   5   20   10 |  10  20   5 | 10  10  1 |  5  2
--------------------+-----+------+-----------+---------------+---------------+---------------+---------------+-------------+-----------+------
o3o3x3o . . . . . . ♦  10 |   30 |   20   10 |   5    5    0 | 462    *    * ♦   6    0    0 |  15    0    0 |  20   0   0 | 15   0  0 |  6  0
. o3x3o3o . . . . . ♦  10 |   30 |   10   20 |   0    5    5 |   * 2772    * |   1    5    0 |   5   10    0 |  10  10   0 | 10   5  0 |  5  1
. . x3o3o3o . . . . ♦   5 |   10 |    0   10 |   0    0    5 |   *    * 6930 |   0    2    4 |   1    8    6 |   4  12   4 |  6   8  1 |  4  2
--------------------+-----+------+-----------+---------------+---------------+---------------+---------------+-------------+-----------+------
o3o3x3o3o . . . . . ♦  20 |   90 |   60   60 |  15   30   15 |   6    6    0 | 462    *    * ♦   5    0    0 |  10   0   0 | 10   0  0 |  5  0
. o3x3o3o3o . . . . ♦  15 |   60 |   20   60 |   0   15   30 |   0    6    6 |   * 2310    * |   1    4    0 |   4   6   0 |  6   4  0 |  4  1
. . x3o3o3o3o . . . ♦   6 |   15 |    0   20 |   0    0   15 |   0    0    6 |   *    * 4620 |   0    2    3 |   1   6   3 |  3   6  1 |  3  2
--------------------+-----+------+-----------+---------------+---------------+---------------+---------------+-------------+-----------+------
o3o3x3o3o3o . . . . ♦  35 |  210 |  140  210 |  35  105  105 |  21   42   21 |   7    7    0 | 330    *    * ♦   4   0   0 |  6   0  0 |  4  0
. o3x3o3o3o3o . . . ♦  21 |  105 |   35  140 |   0   35  105 |   0   21   42 |   0    7    7 |   * 1320    * |   1   3   0 |  3   3  0 |  3  1
. . x3o3o3o3o3o . . ♦   7 |   21 |    0   35 |   0    0   35 |   0    0   21 |   0    0    7 |   *    * 1980 |   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 | 165   *   * |  3   0  0 |  3  0
. o3x3o3o3o3o3o . . ♦  28 |  168 |   56  280 |   0   70  280 |   0   56  168 |   0   28   56 |   0    8    8 |   * 495   * |  1   2  0 |  2  1
. . x3o3o3o3o3o3o . ♦   8 |   28 |    0   56 |   0    0   70 |   0    0   56 |   0    0   28 |   0    0    8 |   *   * 495 |  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 | 55   *  * |  2  0
. o3x3o3o3o3o3o3o . ♦  36 |  252 |   84  504 |   0  126  630 |   0  126  504 |   0   84  252 |   0   36   72 |   0   9   9 |  * 110  * |  1  1
. . x3o3o3o3o3o3o3o ♦   9 |   36 |    0   84 |   0    0  126 |   0    0  126 |   0    0   84 |   0    0   36 |   0   0   9 |  *   * 55 |  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 | 11  *
. o3x3o3o3o3o3o3o3o ♦  45 |  360 |  120  840 |   0  210 1260 |   0  252 1260 |   0  210  840 |   0  120  360 |   0  45  90 |  0  10 10 |  * 11

oo3xo3ox3oo3oo3oo3oo3oo3oo&#x   → height = sqrt(11/20) = 0.741620
(reday || breday)

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