Acronym ru
Name rectified hendecaxennon,
rectified undecaxennon,
Gosset polytope 08,1
Circumradius 3/sqrt(11) = 0.904534
Confer
general polytopal classes:
segmentoxenna   fundamental lace prisms   Coxeter-Elte-Gosset polytopes  
External
links
wikipedia

Incidence matrix according to Dynkin symbol

o3x3o3o3o3o3o3o3o3o

. . . . . . . . . . | 55   18 |   9   72 |  36  168 |  84  252 | 126  252 | 126  168 |  84  72 | 36  18 |  9  2
--------------------+----+-----+----------+----------+----------+----------+----------+---------+--------+------
. x . . . . . . . . |  2 | 495 |   1    8 |   8   28 |  28   56 |  56   70 |  70   56 |  56  28 | 28   8 |  8  1
--------------------+----+-----+----------+----------+----------+----------+----------+---------+--------+------
o3x . . . . . . . . |  3 |   3 | 165    *    8    0 |  28    0 |  56    0 |  70    0 |  56   0 | 28   0 |  8  0
. x3o . . . . . . . |  3 |   3 |   * 1320 |   1    7 |   7   21 |  21   35 |  35   35 |  35  21 | 21   7 |  7  1
--------------------+----+-----+----------+----------+----------+----------+----------+---------+--------+------
o3x3o . . . . . . .   6 |  12 |   4    4 | 330    *    7    0 |  21    0 |  35    0 |  35   0 | 21   0 |  7  0
. x3o3o . . . . . .   4 |   6 |   0    4 |   * 2310 |   1    6 |   6   15 |  15   20 |  20  15 | 15   6 |  6  1
--------------------+----+-----+----------+----------+----------+----------+----------+---------+--------+------
o3x3o3o . . . . . .  10 |  30 |  10   20 |   5    5 | 462    *    6    0 |  15    0 |  20   0 | 15   0 |  6  0
. x3o3o3o . . . . .   5 |  10 |   0   10 |   0    5 |   * 2772 |   1    5 |   5   10 |  10  10 | 10   5 |  5  1
--------------------+----+-----+----------+----------+----------+----------+----------+---------+--------+------
o3x3o3o3o . . . . .  15 |  60 |  20   60 |  15   30 |   6    6 | 462    *    5    0 |  10   0 | 10   0 |  5  0
. x3o3o3o3o . . . .   6 |  15 |   0   20 |   0   15 |   0    6 |   * 2310 |   1    4 |   4   6 |  6   4 |  4  1
--------------------+----+-----+----------+----------+----------+----------+----------+---------+--------+------
o3x3o3o3o3o . . . .  21 | 105 |  35  140 |  35  105 |  21   42 |   7    7 | 330    *    4   0 |  6   0 |  4  0
. x3o3o3o3o3o . . .   7 |  21 |   0   35 |   0   35 |   0   21 |   0    7 |   * 1320 |   1   3 |  3   3 |  3  1
--------------------+----+-----+----------+----------+----------+----------+----------+---------+--------+------
o3x3o3o3o3o3o . . .  28 | 168 |  56  280 |  70  280 |  56  168 |  28   56 |   8    8 | 165   * |  3   0 |  3  0
. x3o3o3o3o3o3o . .   8 |  28 |   0   56 |   0   70 |   0   56 |   0   28 |   0    8 |   * 495 |  1   2 |  2  1
--------------------+----+-----+----------+----------+----------+----------+----------+---------+--------+------
o3x3o3o3o3o3o3o . .  36 | 252 |  84  504 | 126  630 | 126  504 |  84  252 |  36   72 |   9   9 | 55   * |  2  0
. x3o3o3o3o3o3o3o .   9 |  36 |   0   84 |   0  126 |   0  126 |   0   84 |   0   36 |   0   9 |  * 110 |  1  1
--------------------+----+-----+----------+----------+----------+----------+----------+---------+--------+------
o3x3o3o3o3o3o3o3o .  45 | 360 | 120  840 | 210 1260 | 252 1260 | 210  840 | 120  360 |  45  90 | 10  10 | 11  *
. x3o3o3o3o3o3o3o3o  10 |  45 |   0  120 |   0  210 |   0  252 |   0  210 |   0  120 |   0  45 |  0  10 |  * 11

xo3ox3oo3oo3oo3oo3oo3oo3oo&#x   → height = sqrt(11/20) = 0.741620
(day || reday)

o.3o.3o.3o.3o.3o.3o.3o.3o.    | 10  *   9  9   0 |  36  9  36   0   0 |  84  36  84   0    0 | 126  84  126   0    0 | 126 126  126   0   0 |  84 126  84   0   0 | 36  84  36  0  0 |  9 36  9  0  0 | 1  9  1 0
.o3.o3.o3.o3.o3.o3.o3.o3.o    |  * 45   0  2  16 |   0  1  16   8  56 |   0   8  56  28  112 |   0  28  112  56  140 |   0  56  140  70 112 |   0  70 112  56  56 |  0  56  56 28 16 |  0 28 16  8  2 | 0  8  2 1
------------------------------+-------+-----------+--------------------+----------------------+-----------------------+----------------------+---------------------+------------------+----------------+----------
x. .. .. .. .. .. .. .. ..    |  2  0 | 45  *   * |   8  1   0   0   0 |  28   8   0   0    0 |  56  28    0   0    0 |  70  56    0   0   0 |  56  70   0   0   0 | 28  56   0  0  0 |  8 28  0  0  0 | 1  8  0 0
oo3oo3oo3oo3oo3oo3oo3oo3oo&#x |  1  1 |  * 90   * |   0  1   8   0   0 |   0   8  28   0    0 |   0  28   56   0    0 |   0  56   70   0   0 |   0  70  56   0   0 |  0  56  28  0  0 |  0 28  8  0  0 | 0  8  1 0
.. .x .. .. .. .. .. .. ..    |  0  2 |  *  * 360 |   0  0   1   1   7 |   0   1   7   7   21 |   0   7   21  21   35 |   0  21   35  35  35 |   0  35  35  35  21 |  0  35  21 21  7 |  0 21  7  7  1 | 0  7  1 1
------------------------------+-------+-----------+--------------------+----------------------+-----------------------+----------------------+---------------------+------------------+----------------+----------
x.3o. .. .. .. .. .. .. ..    |  3  0 |  3  0   0 | 120  *   *   *   * |   7   1   0   0    0 |  21   7    0   0    0 |  35  21    0   0   0 |  35  35   0   0   0 | 21  35   0  0  0 |  7 21  0  0  0 | 1  7  0 0
xo .. .. .. .. .. .. .. ..&#x |  2  1 |  1  2   0 |   * 45   *   *   *    0   8   0   0    0 |   0  28    0   0    0 |   0  56    0   0   0 |   0  70   0   0   0 |  0  56   0  0  0 |  0 28  0  0  0 | 0  8  0 0
.. ox .. .. .. .. .. .. ..&#x |  1  2 |  0  2   1 |   *  * 360   *   * |   0   1   7   0    0 |   0   7   21   0    0 |   0  21   35   0   0 |   0  35  35   0   0 |  0  35  21  0  0 |  0 21  7  0  0 | 0  7  1 0
.o3.x .. .. .. .. .. .. ..    |  0  3 |  0  0   3 |   *  *   * 120   *    0   1   0   7    0 |   0   7    0  21    0 |   0  21    0  35   0 |   0  35   0  35   0 |  0  35   0 21  0 |  0 21  0  7  0 | 0  7  0 1
.. .x3.o .. .. .. .. .. ..    |  0  3 |  0  0   3 |   *  *   *   * 840 |   0   0   1   1    6 |   0   1    6   6   15 |   0   6   15  15  20 |   0  15  20  20  15 |  0  20  15 15  6 |  0 15  6  6  1 | 0  6  1 1
------------------------------+-------+-----------+--------------------+----------------------+-----------------------+----------------------+---------------------+------------------+----------------+----------
x.3o.3o. .. .. .. .. .. ..      4  0 |  6  0   0 |   4  0   0   0   0 | 210   *   *   *    * |   6   1    0   0    0 |  15   6    0   0   0 |  20  15   0   0   0 | 15  20   0  0  0 |  6 15  0  0  0 | 1  6  0 0
xo3ox .. .. .. .. .. .. ..&#x   3  3 |  3  6   3 |   1  3   3   1   0 |   * 120   *   *    *    0   7    0   0    0 |   0  21    0   0   0 |   0  35   0   0   0 |  0  35   0  0  0 |  0 21  0  0  0 | 0  7  0 0
.. ox3oo .. .. .. .. .. ..&#x   1  3 |  0  3   3 |   0  0   3   0   1 |   *   * 840   *    * |   0   1    6   0    0 |   0   6   15   0   0 |   0  15  20   0   0 |  0  20  15  0  0 |  0 15  6  0  0 | 0  6  1 0
.o3.x3.o .. .. .. .. .. ..      0  6 |  0  0  12 |   0  0   0   4   4 |   *   *   * 210    *    0   1    0   6    0 |   0   6    0  15   0 |   0  15   0  20   0 |  0  20   0 15  0 |  0 15  0  6  0 | 0  6  0 1
.. .x3.o3.o .. .. .. .. ..      0  4 |  0  0   6 |   0  0   0   0   4 |   *   *   *   * 1260 |   0   0    1   1    5 |   0   1    5   5  10 |   0   5  10  10  10 |  0  10  10 10  5 |  0 10  5  5  1 | 0  5  1 1
------------------------------+-------+-----------+--------------------+----------------------+-----------------------+----------------------+---------------------+------------------+----------------+----------
x.3o.3o.3o. .. .. .. .. ..      5  0 | 10  0   0 |  10  0   0   0   0 |   5   0   0   0    0 | 252   *    *   *    * |   5   1    0   0   0 |  10   5   0   0   0 | 10  10   0  0  0 |  5 10  0  0  0 | 1  5  0 0
xo3ox3oo .. .. .. .. .. ..&#x   4  6 |  6 12  12 |   4  6  12   4   4 |   1   4   4   1    0 |   * 210    *   *    *    0   6    0   0   0 |   0  15   0   0   0 |  0  20   0  0  0 |  0 15  0  0  0 | 0  6  0 0
.. ox3oo3oo .. .. .. .. ..&#x   1  4 |  0  4   6 |   0  0   6   0   4 |   0   0   4   0    1 |   *   * 1260   *    * |   0   1    5   0   0 |   0   5  10   0   0 |  0  10  10  0  0 |  0 10  5  0  0 | 0  5  1 0
.o3.x3.o3.o .. .. .. .. ..      0 10 |  0  0  30 |   0  0   0  10  20 |   0   0   0   5    5 |   *   *    * 252    *    0   1    0   5   0 |   0   5   0  10   0 |  0  10   0 10  0 |  0 10  0  5  0 | 0  5  0 1
.. .x3.o3.o3.o .. .. .. ..      0  5 |  0  0  10 |   0  0   0   0  10 |   0   0   0   0    5 |   *   *    *   * 1260 |   0   0    1   1   4 |   0   1   4   4   6 |  0   4   6  6  4 |  0  6  4  4  1 | 0  4  1 1
------------------------------+-------+-----------+--------------------+----------------------+-----------------------+----------------------+---------------------+------------------+----------------+----------
x.3o.3o.3o.3o. .. .. .. ..      6  0 | 15  0   0 |  20  0   0   0   0 |  15   0   0   0    0 |   6   0    0   0    0 | 210   *    *   *   * |   4   1   0   0   0 |  6   4   0  0  0 |  4  6  0  0  0 | 1  4  0 0
xo3ox3oo3oo .. .. .. .. ..&#x   5 10 | 10 20  30 |  10 10  30  10  20 |   5  10  20   5    5 |   1   5    5   1    0 |   * 252    *   *   *    0   5   0   0   0 |  0  10   0  0  0 |  0 10  0  0  0 | 0  5  0 0
.. ox3oo3oo3oo .. .. .. ..&#x   1  5 |  0  5  10 |   0  0  10   0  10 |   0   0  10   0    5 |   0   0    5   0    1 |   *   * 1260   *   * |   0   1   4   0   0 |  0   4   6  0  0 |  0  6  4  0  0 | 0  4  1 0
.o3.x3.o3.o3.o .. .. .. ..      0 15 |  0  0  60 |   0  0   0  20  60 |   0   0   0  15   30 |   0   0    0   6    6 |   *   *    * 210   *    0   1   0   4   0 |  0   4   0  6  0 |  0  6  0  4  0 | 0  4  0 1
.. .x3.o3.o3.o3.o .. .. ..      0  6 |  0  0  15 |   0  0   0   0  20 |   0   0   0   0   15 |   0   0    0   0    6 |   *   *    *   * 840 |   0   0   1   1   3 |  0   1   3  3  3 |  0  3  3  3  1 | 0  3  1 1
------------------------------+-------+-----------+--------------------+----------------------+-----------------------+----------------------+---------------------+------------------+----------------+----------
x.3o.3o.3o.3o.3o. .. .. ..      7  0 | 21  0   0 |  35  0   0   0   0 |  35   0   0   0    0 |  21   0    0   0    0 |   7   0    0   0   0 | 120   *   *   *   * |  3   1   0  0  0 |  3  3  0  0  0 | 1  3  0 0
xo3ox3oo3oo3oo .. .. .. ..&#x   6 15 | 15 30  60 |  20 15  60  20  60 |  15  20  60  15   30 |   6  15   30   6    6 |   1   6    6   1   0 |   * 210   *   *   *   0   4   0  0  0 |  0  6  0  0  0 | 0  4  0 0
.. ox3oo3oo3oo3oo .. .. ..&#x   1  6 |  0  6  15 |   0  0  15   0  20 |   0   0  20   0   15 |   0   0   15   0    6 |   0   0    6   0   1 |   *   * 840   *   * |  0   1   3  0  0 |  0  3  3  0  0 | 0  3  1 0
.o3.x3.o3.o3.o3.o .. .. ..      0 21 |  0  0 105 |   0  0   0  35 140 |   0   0   0  35  105 |   0   0    0  21   42 |   0   0    0   7   7 |   *   *   * 120   *   0   1   0  3  0 |  0  3  0  3  0 | 0  3  0 1
.. .x3.o3.o3.o3.o3.o .. ..      0  7 |  0  0  21 |   0  0   0   0  35 |   0   0   0   0   35 |   0   0    0   0   21 |   0   0    0   0   7 |   *   *   *   * 360 |  0   0   1  1  2 |  0  1  2  2  1 | 0  2  1 1
------------------------------+-------+-----------+--------------------+----------------------+-----------------------+----------------------+---------------------+------------------+----------------+----------
x.3o.3o.3o.3o.3o.3o. .. ..      8  0 | 28  0   0 |  56  0   0   0   0 |  70   0   0   0    0 |  56   0    0   0    0 |  28   0    0   0   0 |   8   0   0   0   0 | 45   *   *  *  * |  2  1  0  0  0 | 1  2  0 0
xo3ox3oo3oo3oo3oo .. .. ..&#x   7 21 | 21 42 105 |  35 21 105  35 140 |  35  35 140  35  105 |  21  35  105  21   42 |   7  21   42   7   7 |   1   7   7   1   0 |  * 120   *  *  * |  0  3  0  0  0 | 0  3  0 0
.. ox3oo3oo3oo3oo3oo .. ..&#x   1  7 |  0  7  21 |   0  0  21   0  35 |   0   0  35   0   35 |   0   0   35   0   21 |   0   0   21   0   7 |   0   0   7   0   1 |  *   * 360  *  * |  0  1  2  0  0 | 0  2  1 0
.o3.x3.o3.o3.o3.o3.o .. ..      0 28 |  0  0 168 |   0  0   0  56 280 |   0   0   0  70  280 |   0   0    0  56  168 |   0   0    0  28  56 |   0   0   0   8   8 |  *   *   * 45  * |  0  1  0  2  0 | 0  2  0 1
.. .x3.o3.o3.o3.o3.o3.o ..      0  8 |  0  0  28 |   0  0   0   0  56 |   0   0   0   0   70 |   0   0    0   0   56 |   0   0    0   0  28 |   0   0   0   0   8 |  *   *   *  * 90 |  0  0  1  1  1 | 0  1  1 1
------------------------------+-------+-----------+--------------------+----------------------+-----------------------+----------------------+---------------------+------------------+----------------+----------
x.3o.3o.3o.3o.3o.3o.3o. ..      9  0 | 36  0   0 |  84  0   0   0   0 | 126   0   0   0    0 | 126   0    0   0    0 |  84   0    0   0   0 |  36   0   0   0   0 |  9   0   0  0  0 | 10  *  *  *  * | 1  1  0 0
xo3ox3oo3oo3oo3oo3oo .. ..&#x   8 28 | 28 56 168 |  56 28 168  56 280 |  70  56 280  70  280 |  56  70  280  56  168 |  28  56  168  28  56 |   8  28  56   8   8 |  1   8   8  1  0 |  * 45  *  *  * | 0  2  0 0
.. ox3oo3oo3oo3oo3oo3oo ..&#x   1  8 |  0  8  28 |   0  0  28   0  56 |   0   0  56   0   70 |   0   0   70   0   56 |   0   0   56   0  28 |   0   0  28   0   8 |  0   0   8  0  1 |  *  * 90  *  * | 0  1  1 0
.o3.x3.o3.o3.o3.o3.o3.o ..      0 36 |  0  0 252 |   0  0   0  84 504 |   0   0   0 126  630 |   0   0    0 126  504 |   0   0    0  84 252 |   0   0   0  36  72 |  0   0   0  9  9 |  *  *  * 10  * | 0  1  0 1
.. .x3.o3.o3.o3.o3.o3.o3.o      0  9 |  0  0  36 |   0  0   0   0  84 |   0   0   0   0  126 |   0   0    0   0  126 |   0   0    0   0  84 |   0   0   0   0  36 |  0   0   0  0  9 |  *  *  *  * 10 | 0  0  1 1
------------------------------+-------+-----------+--------------------+----------------------+-----------------------+----------------------+---------------------+------------------+----------------+----------
x.3o.3o.3o.3o.3o.3o.3o.3o.     10  0 | 45  0   0 | 120  0   0   0   0 | 210   0   0   0    0 | 252   0    0   0    0 | 210   0    0   0   0 | 120   0   0   0   0 | 45   0   0  0  0 | 10  0  0  0  0 | 1  *  * *
xo3ox3oo3oo3oo3oo3oo3oo ..&#x   9 36 | 36 72 252 |  84 36 252  84 504 | 126  84 504 126  630 | 126 126  630 126  504 |  84 126  504  84 252 |  36  84 252  36  72 |  9  36  72  9  9 |  1  9  9  1  0 | * 10  * *
.. ox3oo3oo3oo3oo3oo3oo3oo&#x   1  9 |  0  9  36 |   0  0  36   0  84 |   0   0  84   0  126 |   0   0  126   0  126 |   0   0  126   0  84 |   0   0  84   0  36 |  0   0  36  0  9 |  0  0  9  0  1 | *  * 10 *
.o3.x3.o3.o3.o3.o3.o3.o3.o      0 45 |  0  0 360 |   0  0   0 120 840 |   0   0   0 210 1260 |   0   0    0 252 1260 |   0   0    0 210 840 |   0   0   0 120 360 |  0   0   0 45 90 |  0  0  0 10 10 | *  *  * 1

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