Acronym breday
Name birectified decayotton,
Gosset polytope 06,2
Circumradius sqrt(21/20) = 1.024695
Confer
general polytopal classes:
segmentoyotta   fundamental lace prisms   Coxeter-Elte-Gosset polytopes  
External
links
wikipedia

Incidence matrix according to Dynkin symbol

o3o3x3o3o3o3o3o3o

. . . . . . . . . | 120    21 |  21   63 |   7   63  105 |  21  105  105 |  35 105   63 |  35  63  21 | 21 21  3 |  7  3
------------------+-----+------+----------+---------------+---------------+--------------+-------------+----------+------
. . x . . . . . . |   2 | 1260 |   2    6 |   1   12   15 |   6   30   20 |  15  40   15 |  20  30   6 | 15 12  1 |  6  2
------------------+-----+------+----------+---------------+---------------+--------------+-------------+----------+------
. o3x . . . . . . |   3 |    3 | 840    * |   1    6    0 |   6   15    0 |  15  20    0 |  20  15   0 | 15  6  0 |  6  1
. . x3o . . . . . |   3 |    3 |   * 2520 |   0    2    5 |   1   10   10 |   5  20   10 |  10  20   5 | 10 10  1 |  5  2
------------------+-----+------+----------+---------------+---------------+--------------+-------------+----------+------
o3o3x . . . . . .    4 |    6 |   4    0 | 210    *    *    6    0    0 |  15   0    0 |  20   0   0 | 15  0  0 |  6  0
. o3x3o . . . . .    6 |   12 |   4    4 |   * 1260    * |   1    5    0 |   5  10    0 |  10  10   0 | 10  5  0 |  5  1
. . x3o3o . . . .    4 |    6 |   0    4 |   *    * 3150 |   0    2    4 |   1   8    6 |   4  12   4 |  6  8  1 |  4  2
------------------+-----+------+----------+---------------+---------------+--------------+-------------+----------+------
o3o3x3o . . . . .   10 |   30 |  20   10 |   5    5    0 | 252    *    *    5   0    0 |  10   0   0 | 10  0  0 |  5  0
. o3x3o3o . . . .   10 |   30 |  10   20 |   0    5    5 |   * 1260    * |   1   4    0 |   4   6   0 |  6  4  0 |  4  1
. . x3o3o3o . . .    5 |   10 |   0   10 |   0    0    5 |   *    * 2520 |   0   2    3 |   1   6   3 |  3  6  1 |  3  2
------------------+-----+------+----------+---------------+---------------+--------------+-------------+----------+------
o3o3x3o3o . . . .   20 |   90 |  60   60 |  15   30   15 |   6    6    0 | 210   *    *    4   0   0 |  6  0  0 |  4  0
. o3x3o3o3o . . .   15 |   60 |  20   60 |   0   15   30 |   0    6    6 |   * 840    * |   1   3   0 |  3  3  0 |  3  1
. . x3o3o3o3o . .    6 |   15 |   0   20 |   0    0   15 |   0    0    6 |   *   * 1260 |   0   2   2 |  1  4  1 |  2  2
------------------+-----+------+----------+---------------+---------------+--------------+-------------+----------+------
o3o3x3o3o3o . . .   35 |  210 | 140  210 |  35  105  105 |  21   42   21 |   7   7    0 | 120   *   * |  3  0  0 |  3  0
. o3x3o3o3o3o . .   21 |  105 |  35  140 |   0   35  105 |   0   21   42 |   0   7    7 |   * 360   * |  1  2  0 |  2  1
. . x3o3o3o3o3o .    7 |   21 |   0   35 |   0    0   35 |   0    0   21 |   0   0    7 |   *   * 360 |  0  2  1 |  1  2
------------------+-----+------+----------+---------------+---------------+--------------+-------------+----------+------
o3o3x3o3o3o3o . .   56 |  420 | 280  560 |  70  280  420 |  56  168  168 |  28  56   28 |   8   8   0 | 45  *  * |  2  0
. o3x3o3o3o3o3o .   28 |  168 |  56  280 |   0   70  280 |   0   56  168 |   0  28   56 |   0   8   8 |  * 90  * |  1  1
. . x3o3o3o3o3o3o    8 |   28 |   0   56 |   0    0   70 |   0    0   56 |   0   0   28 |   0   0   8 |  *  * 45 |  0  2
------------------+-----+------+----------+---------------+---------------+--------------+-------------+----------+------
o3o3x3o3o3o3o3o .   84 |  756 | 504 1260 | 126  630 1260 | 126  505  756 |  84 252  252 |  36  72  36 |  9  9  0 | 10  *
. o3x3o3o3o3o3o3o   36 |  252 |  84  504 |   0  126  630 |   0  126  504 |   0  84  252 |   0  36  72 |  0  9  9 |  * 10

oo3xo3ox3oo3oo3oo3oo3oo&#x   → height = sqrt(5)/3 = 0.745356
(rene || brene)

o.3o.3o.3o.3o.3o.3o.3o.    | 36  *   14   7   0 |  7  42  14  21   0    0 |  21  70  7  42   35   0   0    0 |  35  70  21  70   35   0   0   0 | 35  42  35  70  21  0   0   0 | 21 14 35  42   7  0  0  0 | 7 2 21 14  1 0 0 | 1 7 2 0
.o3.o3.o3.o3.o3.o3.o3.o    |  * 84    0   3  18 |  0   0   3  18  18   45 |   0   0  1  18   45   6  45   60 |   0   0   6  45   60   6  60  45 |  0   0   6  60  45 20  45  18 |  0  0 20  45  18 15 18  3 | 0 0 15 18  3 6 3 | 0 6 3 1
---------------------------+-------+-------------+-------------------------+----------------------------------+----------------------------------+-------------------------------+---------------------------+------------------+--------
.. x. .. .. .. .. .. ..    |  2  0 | 252   *   * |  1   6   1   0   0    0 |   6  15  1   6    0   0   0    0 |  15  20   6  15    0   0   0   0 | 20  15  15  20   0  0   0   0 | 15  6 20  15   0  0  0  0 | 6 1 15  6  0 0 0 | 1 6 1 0
oo3oo3oo3oo3oo3oo3oo3oo&#x |  1  1 |   * 252   * |  0   0   2   6   0    0 |   0   0  1  12   15   0   0    0 |   0   0   6  30   20   0   0   0 |  0   0  15  40  15  0   0   0 |  0  0 20  30   6  0  0  0 | 0 0 15 12  1 0 0 | 0 6 2 0
.. .. .x .. .. .. .. ..    |  0  2 |   *   * 756 |  0   0   0   1   2    5 |   0   0  0   2    5   1  10   10 |   0   0   1  10   10   5  20  10 |  0   0   5  20  10 10  20   5 |  0  0 10  20   5 10 10  1 | 0 0 10 10  1 5 2 | 0 5 2 1
---------------------------+-------+-------------+-------------------------+----------------------------------+----------------------------------+-------------------------------+---------------------------+------------------+--------
o.3x. .. .. .. .. .. ..    |  3  0 |   3   0   0 | 84   *   *   *   *    * |   6   0  1   0    0   0   0    0 |  15   0   6   0    0   0   0   0 | 20   0  15   0   0  0   0   0 | 15  0 20   0   0  0  0  0 | 6 0 15  0  0 0 0 | 1 6 0 0
.. x.3o. .. .. .. .. ..    |  3  0 |   3   0   0 |  * 504   *   *   *    * |   1   5  0   1    0   0   0    0 |   5  10   1   5    0   0   0   0 | 10  10   5  10   0  0   0   0 | 10  5 10  10   0  0  0  0 | 5 1 10  5  0 0 0 | 1 5 1 0
.. xo .. .. .. .. .. ..&#x |  2  1 |   1   2   0 |  *   * 252   *   *    * |   0   0  1   6    0   0   0    0 |   0   0   6  15    0   0   0   0 |  0   0  15  20   0  0   0   0 |  0  0 20  15   0  0  0  0 | 0 0 15  6  0 0 0 | 0 6 1 0
.. .. ox .. .. .. .. ..&#x |  1  2 |   0   2   1 |  *   *   * 756   *    * |   0   0  0   2    5   0   0    0 |   0   0   1  10   10   0   0   0 |  0   0   5  20  10  0   0   0 |  0  0 10  20   5  0  0  0 | 0 0 10 10  1 0 0 | 0 5 2 0
.. .o3.x .. .. .. .. ..    |  0  3 |   0   0   3 |  *   *   *   * 504    * |   0   0  0   1    0   1   5    0 |   0   0   1   5    0   5  10   0 |  0   0   5  10   0 10  10   0 |  0  0 10  10   0 10  5  0 | 0 0 10  5  0 5 1 | 0 5 1 1
.. .. .x3.o .. .. .. ..    |  0  3 |   0   0   3 |  *   *   *   *   * 1260 |   0   0  0   0    1   0   2    4 |   0   0   0   2    4   1   8   6 |  0   0   1   8   6  4  12   4 |  0  0  4  12   4  6  8  1 | 0 0  6  8  1 4 2 | 0 4 2 1
---------------------------+-------+-------------+-------------------------+----------------------------------+----------------------------------+-------------------------------+---------------------------+------------------+--------
o.3x.3o. .. .. .. .. ..      6  0 |  12   0   0 |  4   4   0   0   0    0 | 126   *  *   *    *   *   *    * |   5   0   1   0    0   0   0   0 | 10   0   5   0   0  0   0   0 | 10  0 10   0   0  0  0  0 | 5 0 10  0  0 0 0 | 1 5 0 0
.. x.3o.3o. .. .. .. ..      4  0 |   6   0   0 |  0   4   0   0   0    0 |   * 630  *   *    *   *   *    * |   1   4   0   1    0   0   0   0 |  4   6   1   4   0  0   0   0 |  6  4  4   6   0  0  0  0 | 4 1  6  4  0 0 0 | 1 4 1 0
oo3xo .. .. .. .. .. ..&#x   3  1 |   3   3   0 |  1   0   3   0   0    0 |   *   * 84   *    *   *   *    *    0   0   6   0    0   0   0   0 |  0   0  15   0   0  0   0   0 |  0  0 20   0   0  0  0  0 | 0 0 15  0  0 0 0 | 0 6 0 0
.. xo3ox .. .. .. .. ..&#x   3  3 |   3   6   3 |  0   1   3   3   1    0 |   *   *  * 504    *   *   *    * |   0   0   1   5    0   0   0   0 |  0   0   5  10   0  0   0   0 |  0  0 10  10   0  0  0  0 | 0 0 10  5  0 0 0 | 0 5 1 0
.. .. ox3oo .. .. .. ..&#x   1  3 |   0   3   3 |  0   0   0   3   0    1 |   *   *  *   * 1260   *   *    * |   0   0   0   2    4   0   0   0 |  0   0   1   8   6  0   0   0 |  0  0  4  12   4  0  0  0 | 0 0  6  8  1 0 0 | 0 4 2 0
.o3.o3.x .. .. .. .. ..      0  4 |   0   0   6 |  0   0   0   0   4    0 |   *   *  *   *    * 126   *    *    0   0   1   0    0   5   0   0 |  0   0   5   0   0 10   0   0 |  0  0 10   0   0 10  0  0 | 0 0 10  0  0 5 0 | 0 5 0 1
.. .o3.x3.o .. .. .. ..      0  6 |   0   0  12 |  0   0   0   0   4    4 |   *   *  *   *    *   * 630    * |   0   0   0   1    0   1   4   0 |  0   0   1   4   0  4   6   0 |  0  0  4   6   0  6  4  0 | 0 0  6  4  0 4 1 | 0 4 1 1
.. .. .x3.o3.o .. .. ..      0  4 |   0   0   6 |  0   0   0   0   0    4 |   *   *  *   *    *   *   * 1260 |   0   0   0   0    1   0   2   3 |  0   0   0   2   3  1   6   3 |  0  0  1   6   3  3  6  1 | 0 0  3  6  1 3 2 | 0 3 2 1
---------------------------+-------+-------------+-------------------------+----------------------------------+----------------------------------+-------------------------------+---------------------------+------------------+--------
o.3x.3o.3o. .. .. .. ..     10  0 |  30   0   0 | 10  20   0   0   0    0 |   5   5  0   0    0   0   0    0 | 126   *   *   *    *   *   *   * |  4   0   1   0   0  0   0   0 |  6  0  4   0   0  0  0  0 | 4 0  6  0  0 0 0 | 1 4 0 0
..3x.3o.3o.3o. .. .. ..      5  0 |  10   0   0 |  0  10   0   0   0    0 |   0   5  0   0    0   0   0    0 |   * 504   *   *    *   *   *   * |  1   3   0   1   0  0   0   0 |  3  3  1   3   0  0  0  0 | 3 1  3  3  0 0 0 | 1 3 1 0
oo3xo3ox .. .. .. .. ..&#x   6  4 |  12  12   6 |  4   4  12   6   4    0 |   1   0  4   4    0   1   0    0 |   *   * 126   *    *   *   *   *   0   0   5   0   0  0   0   0 |  0  0 10   0   0  0  0  0 | 0 0 10  0  0 0 0 | 0 5 0 0
.. xo3ox3oo .. .. .. ..&#x   4  6 |   6  12  12 |  0   4   6  12   4    4 |   0   1  0   4    4   0   1    0 |   *   *   * 630    *   *   *   * |  0   0   1   4   0  0   0   0 |  0  0  4   6   0  0  0  0 | 0 0  6  4  0 0 0 | 0 4 1 0
.. .. ox3oo3oo .. .. ..&#x   1  4 |   0   4   6 |  0   0   0   6   0    4 |   0   0  0   0    4   0   0    1 |   *   *   *   * 1260   *   *   * |  0   0   0   2   3  0   0   0 |  0  0  1   6   3  0  0  0 | 0 0  3  6  1 0 0 | 0 3 2 0
.o3.o3.x3.o .. .. .. ..      0 10 |   0   0  30 |  0   0   0   0  20   10 |   0   0  0   0    0   5   5    0 |   *   *   *   *    * 126   *   *   0   0   1   0   0  4   0   0 |  0  0  4   0   0  6  0  0 | 0 0  6  0  0 4 0 | 0 4 0 1
.. .o3.x3.o3.o .. .. ..      0 10 |   0   0  30 |  0   0   0   0  10   20 |   0   0  0   0    0   0   5    5 |   *   *   *   *    *   * 504   * |  0   0   0   1   0  1   3   0 |  0  0  1   3   0  3  3  0 | 0 0  3  3  0 3 1 | 0 3 1 1
.. .. .x3.o3.o3.o .. ..      0  5 |   0   0  10 |  0   0   0   0   0   10 |   0   0  0   0    0   0   0    5 |   *   *   *   *    *   *   * 756 |  0   0   0   0   1  0   2   2 |  0  0  0   2   2  1  4  1 | 0 0  1  4  1 2 2 | 0 2 2 1
---------------------------+-------+-------------+-------------------------+----------------------------------+----------------------------------+-------------------------------+---------------------------+------------------+--------
o.3x.3o.3o.3o. .. .. ..     15  0 |  60   0   0 | 20  60   0   0   0    0 |  15  30  0   0    0   0   0    0 |   6   6   0   0    0   0   0   0 | 84   *   *   *   *  *   *   * |  3  0  1   0   0  0  0  0 | 3 0  3  0  0 0 0 | 1 3 0 0
..3x.3o.3o.3o.3o. .. ..      6  0 |  15   0   0 |  0  20   0   0   0    0 |   0  15  0   0    0   0   0    0 |   0   6   0   0    0   0   0   0 |  * 252   *   *   *  *   *   * |  1  2  0   1   0  0  0  0 | 2 1  1  2  0 0 0 | 1 2 1 0
oo3xo3ox3oo .. .. .. ..&#x  10 10 |  30  30  30 | 10  20  30  30  20   10 |   5   5 10  20   10   5   5    0 |   1   0   5   5    0   1   0   0 |  *   * 126   *   *  *   *   *   0  0  4   0   0  0  0  0 | 0 0  6  0  0 0 0 | 0 4 0 0
.. xo3ox3oo3oo .. .. ..&#x   5 10 |  10  20  30 |  0  10  10  30  10   20 |   0   5  0  10   20   0   5    5 |   0   1   0   5    5   0   1   0 |  *   *   * 504   *  *   *   * |  0  0  1   3   0  0  0  0 | 0 0  3  3  0 0 0 | 0 3 1 0
.. .. ox3oo3oo3oo .. ..&#x   1  5 |   0   5  10 |  0   0   0  10   0   10 |   0   0  0   0   10   0   0    5 |   0   0   0   0    5   0   0   1 |  *   *   *   * 756  *   *   * |  0  0  0   2   2  0  0  0 | 0 0  1  4  1 0 0 | 0 2 2 0
.o3.o3.x3.o3.o .. .. ..      0 20 |   0   0  90 |  0   0   0   0  60   60 |   0   0  0   0    0  15  30   15 |   0   0   0   0    0   6   6   0 |  *   *   *   *   * 84   *   *   0  0  1   0   0  3  0  0 | 0 0  3  0  0 3 0 | 0 3 0 1
.. .o3.x3.o3.o3.o .. ..      0 15 |   0   0  60 |  0   0   0   0  20   60 |   0   0  0   0    0   0  15   30 |   0   0   0   0    0   0   6   6 |  *   *   *   *   *  * 252   * |  0  0  0   1   0  1  2  0 | 0 0  1  2  0 2 1 | 0 2 1 1
.. .. .x3.o3.o3.o3.o ..      0  6 |   0   0  15 |  0   0   0   0   0   20 |   0   0  0   0    0   0   0   15 |   0   0   0   0    0   0   0   6 |  *   *   *   *   *  *   * 252 |  0  0  0   0   1  0  2  1 | 0 0  0  2  1 1 2 | 0 1 2 1
---------------------------+-------+-------------+-------------------------+----------------------------------+----------------------------------+-------------------------------+---------------------------+------------------+--------
o.3x.3o.3o.3o.3o. .. ..     21  0 | 105   0   0 | 35 140   0   0   0    0 |  35 105  0   0    0   0   0    0 |  21  42   0   0    0   0   0   0 |  7   7   0   0   0  0   0   0 | 36  *  *   *   *  *  *  * | 2 0  1  0  0 0 0 | 1 2 0 0
..3x.3o.3o.3o.3o.3o. ..      7  0 |  21   0   0 |  0  35   0   0   0    0 |   0  35  0   0    0   0   0    0 |   0  21   0   0    0   0   0   0 |  0   7   0   0   0  0   0   0 |  * 72  *   *   *  *  *  * | 1 1  0  1  0 0 0 | 1 1 1 0
oo3xo3ox3oo3oo .. .. ..&#x  15 20 |  60  60  90 | 20  60  60  90  60   60 |  15  30 20  60   60  15  30   15 |   6   6  15  30   15   6   6   0 |  1   0   6   6   0  1   0   0 |  *  * 84   *   *  *  *  * | 0 0  3  0  0 0 0 | 0 3 0 0
.. xo3ox3oo3oo3oo .. ..&#x   6 15 |  15  30  60 |  0  20  15  60  20   60 |   0  15  0  20   60   0  15   30 |   0   6   0  15   30   0   6   6 |  0   1   0   6   6  0   1   0 |  *  *  * 252   *  *  *  * | 0 0  1  2  0 0 0 | 0 2 1 0
.. .. ox3oo3oo3oo3oo ..&#x   1  6 |   0   6  15 |  0   0   0  15   0   20 |   0   0  0   0   20   0   0   15 |   0   0   0   0   15   0   0   6 |  0   0   0   0   6  0   0   1 |  *  *  *   * 252  *  *  * | 0 0  0  2  1 0 0 | 0 1 2 0
.o3.o3.x3.o3.o3.o .. ..      0 35 |   0   0 210 |  0   0   0   0 140  210 |   0   0  0   0    0  35 105  105 |   0   0   0   0    0  21  42  21 |  0   0   0   0   0  7   7   0 |  *  *  *   *   * 36  *  * | 0 0  1  0  0 2 0 | 0 2 0 1
.. .o3.x3.o3.o3.o3.o ..      0 21 |   0   0 105 |  0   0   0   0  35  140 |   0   0  0   0    0   0  35  105 |   0   0   0   0    0   0  21  42 |  0   0   0   0   0  0   7   7 |  *  *  *   *   *  * 72  * | 0 0  0  1  0 1 1 | 0 1 1 1
.. .. .x3.o3.o3.o3.o3.o      0  7 |   0   0  21 |  0   0   0   0   0   35 |   0   0  0   0    0   0   0   35 |   0   0   0   0    0   0   0  21 |  0   0   0   0   0  0   0   7 |  *  *  *   *   *  *  * 36 | 0 0  0  0  1 0 2 | 0 0 2 1
---------------------------+-------+-------------+-------------------------+----------------------------------+----------------------------------+-------------------------------+---------------------------+------------------+--------
o.3x.3o.3o.3o.3o.3o. ..     28  0 | 168   0   0 | 56 280   0   0   0    0 |  70 280  0   0    0   0   0    0 |  56 168   0   0    0   0   0   0 | 28  56   0   0   0  0   0   0 |  8  8  0   0   0  0  0  0 | 9 *  *  *  * * * | 1 1 0 0
..3x.3o.3o.3o.3o.3o.3o.      8  0 |  28   0   0 |  0  56   0   0   0    0 |   0  70  0   0    0   0   0    0 |   0  56   0   0    0   0   0   0 |  0  28   0   0   0  0   0   0 |  0  8  0   0   0  0  0  0 | * 9  *  *  * * * | 1 0 1 0
oo3xo3ox3oo3oo3oo .. ..&#x  21 35 | 105 105 210 | 35 140 105 210 140  210 |  35 105 35 140  210  35 105  105 |  21  42  35 105  105  21  42  21 |  7   7  21  42  21  7   7   0 |  1  0  7   7   0  1  0  0 | * * 36  *  * * * | 0 2 0 0
.. xo3ox3oo3oo3oo3oo ..&#x   7 21 |  21  42 105 |  0  35  21 105  35  140 |   0  35  0  35  140   0  35  105 |   0  21   0  35  105   0  21  42 |  0   7   0  21  42  0   7   7 |  0  1  0   7   7  0  1  0 | * *  * 72  * * * | 0 1 1 0
.. .. ox3oo3oo3oo3oo3oo&#x   1  7 |   0   7  21 |  0   0   0  21   0   35 |   0   0  0   0   35   0   0   35 |   0   0   0   0   35   0   0  21 |  0   0   0   0  21  0   0   7 |  0  0  0   0   7  0  0  1 | * *  *  * 36 * * | 0 0 2 0
.o3.o3.x3.o3.o3.o3.o ..      0 56 |   0   0 420 |  0   0   0   0 280  560 |   0   0  0   0    0  70 280  420 |   0   0   0   0    0  56 168 168 |  0   0   0   0   0 28  56  28 |  0  0  0   0   0  8  8  0 | * *  *  *  * 9 * | 0 1 0 1
.. .o3.x3.o3.o3.o3.o3.o      0 28 |   0   0 168 |  0   0   0   0  56  280 |   0   0  0   0    0   0  70  280 |   0   0   0   0    0   0  56 168 |  0   0   0   0   0  0  28  56 |  0  0  0   0   0  0  8  8 | * *  *  *  * * 9 | 0 0 1 1
---------------------------+-------+-------------+-------------------------+----------------------------------+----------------------------------+-------------------------------+---------------------------+------------------+--------
o.3x.3o.3o.3o.3o.3o.3o.     36  0 | 252   0   0 | 84 504   0   0   0    0 | 126 630  0   0    0   0   0    0 | 126 504   0   0    0   0   0   0 | 84 252   0   0   0  0   0   0 | 36 72  0   0   0  0  0  0 | 9 9  0  0  0 0 0 | 1 * * *
oo3xo3ox3oo3oo3oo3oo ..&#x  28 56 | 168 168 420 | 56 280 168 420 280  560 |  70 280 56 280  560  70 280  420 |  56 168  70 280  420  56 168 168 | 28  56  56 168 168 28  56  28 |  8  8 28  56  28  8  8  0 | 1 0  8  8  0 1 0 | * 9 * *
.. xo3ox3oo3oo3oo3oo3oo&#x   8 28 |  28  56 168 |  0  56  28 168  56  280 |   0  70  0  56  280   0  70  280 |   0  56   0  70  280   0  56 168 |  0  28   0  56 168  0  28  56 |  0  8  0  28  56  0  8  8 | 0 1  0  8  8 0 1 | * * 9 *
.o3.o3.x3.o3.o3.o3.o3.o      0 84 |   0   0 756 |  0   0   0   0 504 1260 |   0   0  0   0    0 126 630 1260 |   0   0   0   0    0 126 504 756 |  0   0   0   0   0 84 252 252 |  0  0  0   0   0 36 72 36 | 0 0  0  0  0 9 9 | * * * 1

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