Acronym	treday
Name	trirectified decayotton, Gosset polytope 05,3
Circumradius	sqrt(6/5) = 1.095445
Face vector	210, 2520, 6720, 8610, 6552, 3150, 960, 180, 20
Confer	general polytopal classes: Wythoffian polyyotta   Coxeter-Elte-Gosset polytopes
External links

Incidence matrix according to Dynkin symbol

o3o3o3x3o3o3o3o3o

. . . . . . . . . | 210 ♦   24 |   36   60 |   24   90   80 |   6   60  120   60 |  15  80   90  24 |  20  60  36   4 | 15 24  6 |  6  4
------------------+-----+------+-----------+----------------+--------------------+------------------+-----------------+----------+------
. . . x . . . . . |   2 | 2520 |    3    5 |    3   15   10 |   1   15   30   10 |   5  30   30   5 |  10  30  15   1 | 10 15  3 |  5  3
------------------+-----+------+-----------+----------------+--------------------+------------------+-----------------+----------+------
. . o3x . . . . . |   3 |    3 | 2520    * |    2    5    0 |   1   10   10    0 |   5  20   10   0 |  10  20   5   0 | 10 10  1 |  5  2
. . . x3o . . . . |   3 |    3 |    * 4200 |    0    3    4 |   0    3   12    6 |   1  12   18   4 |   4  18  12   1 |  6 12  3 |  4  3
------------------+-----+------+-----------+----------------+--------------------+------------------+-----------------+----------+------
. o3o3x . . . . . ♦   4 |    6 |    4    0 | 1260    *    * |   1    5    0    0 |   5  10    0   0 |  10  10   0   0 | 10  5  0 |  5  1
. . o3x3o . . . . ♦   6 |   12 |    4    4 |    * 3150    * |   0    2    4    0 |   1   8    6   0 |   4  12   4   0 |  6  8  1 |  4  2
. . . x3o3o . . . ♦   4 |    6 |    0    4 |    *    * 4200 |   0    0    3    3 |   0   3    9   3 |   1   9   9   1 |  3  9  3 |  3  3
------------------+-----+------+-----------+----------------+--------------------+------------------+-----------------+----------+------
o3o3o3x . . . . . ♦   5 |   10 |   10    0 |    5    0    0 | 252    *    *    * ♦   5   0    0   0 |  10   0   0   0 | 10  0  0 |  5  0
. o3o3x3o . . . . ♦  10 |   30 |   20   10 |    5    5    0 |   * 1260    *    * |   1   4    0   0 |   4   6   0   0 |  6  4  0 |  4  1
. . o3x3o3o . . . ♦  10 |   30 |   10   20 |    0    5    5 |   *    * 2520    * |   0   2    3   0 |   1   6   3   0 |  3  6  1 |  3  2
. . . x3o3o3o . . ♦   5 |   10 |    0   10 |    0    0    5 |   *    *    * 2520 |   0   0    3   2 |   0   3   6   1 |  1  6  3 |  2  3
------------------+-----+------+-----------+----------------+--------------------+------------------+-----------------+----------+------
o3o3o3x3o . . . . ♦  15 |   60 |   60   20 |   30   15    0 |   6    6    0    0 | 210   *    *   * ♦   4   0   0   0 |  6  0  0 |  4  0
. o3o3x3o3o . . . ♦  20 |   90 |   60   60 |   15   30   15 |   0    6    6    0 |   * 840    *   * |   1   3   0   0 |  3  3  0 |  3  1
. . o3x3o3o3o . . ♦  15 |   60 |   20   60 |    0   15   30 |   0    0    6    6 |   *   * 1260   * |   0   2   2   0 |  1  4  1 |  2  2
. . . x3o3o3o3o . ♦   6 |   15 |    0   20 |    0    0   15 |   0    0    0    6 |   *   *    * 840 |   0   0   3   1 |  0  3  3 |  1  3
------------------+-----+------+-----------+----------------+--------------------+------------------+-----------------+----------+------
o3o3o3x3o3o . . . ♦  35 |  210 |  210  140 |  105  105   35 |  21   42   21    0 |   7   7    0   0 | 120   *   *   * |  3  0  0 |  3  0
. o3o3x3o3o3o . . ♦  35 |  210 |  140  210 |   35  105  105 |   0   21   42   21 |   0   7    7   0 |   * 360   *   * |  1  2  0 |  2  1
. . o3x3o3o3o3o . ♦  21 |  105 |   35  140 |    0   35  105 |   0    0   21   42 |   0   0    7   7 |   *   * 360   * |  0  2  1 |  1  2
. . . x3o3o3o3o3o ♦   7 |   21 |    0   35 |    0    0   35 |   0    0    0   21 |   0   0    0   7 |   *   *   * 120 |  0  0  3 |  0  3
------------------+-----+------+-----------+----------------+--------------------+------------------+-----------------+----------+------
o3o3o3x3o3o3o . . ♦  70 |  560 |  560  560 |  280  420  280 |  56  168  168   56 |  28  56   28   0 |   8   8   0   0 | 45  *  * |  2  0
. o3o3x3o3o3o3o . ♦  56 |  420 |  280  560 |   70  280  420 |   0   56  168  168 |   0  28   56  28 |   0   8   8   0 |  * 90  * |  1  1
. . o3x3o3o3o3o3o ♦  28 |  168 |   56  280 |    0   70  280 |   0    0   56  168 |   0   0   28  56 |   0   0   8   8 |  *  * 45 |  0  2
------------------+-----+------+-----------+----------------+--------------------+------------------+-----------------+----------+------
o3o3o3x3o3o3o3o . ♦ 126 | 1260 | 1260 1680 |  630 1260 1260 | 126  504  756  504 |  84 252  252  84 |  36  72  36   0 |  9  9  0 | 10  *
. o3o3x3o3o3o3o3o ♦  84 |  756 |  504 1260 |  126  630 1260 |   0  126  504  756 |   0  84  252 252 |   0  36  72  36 |  0  9  9 |  * 10

oo3oo3xo3ox3oo3oo3oo3oo&#x   → height = sqrt(5)/3 = 0.745356
(brene || trene)

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