Acronym trajak
Name triangle - icosiheptaheptacontidipeton duoprism,
vertex figure of bargoh
Circumradius 1
Lace city
in approx. ASCII-art
   j   
       
j     j

where:
j = x3o3o3o3o *c3o (jak)
Volume 3/64 = 0.046875
Face vector 81, 729, 2835, 5616, 5904, 3321, 948, 102
Confer
uniform relative:
fy  
general polytopal classes:
Wythoffian polyzetta   segmentozetta  

Incidence matrix according to Dynkin symbol

x3o x3o3o3o3o *e3o

o3o o3o3o3o3o *e3o | 81 |  2  16 |  1  32   90 |  16  160  160 |  80  320   80  40 |  160  160  80  16 10 |  80  40  32 20 1 | 32 10 2
-------------------+----+--------+-------------+---------------+-------------------+----------------------+------------------+--------
x . . . . . .    . |  2 | 81   * |  1  16    0 |  16   80    0 |  80  160    0   0 |  160   80  40   0  0 |  80  40  16 10 0 | 32 10 1
. . x . . . .    . |  2 |  * 648 |  0   2   10 |   1   20   30 |  10   60   20  10 |   30   40  20   5  5 |  20  10  10 10 1 |  5  5 2
-------------------+----+--------+-------------+---------------+-------------------+----------------------+------------------+--------
x3o . . . . .    . |  3 |  3   0 | 27   *    *   16    0    0 |  80    0    0   0 |  160    0   0   0  0 |  80   0   0  0 0 | 16 10 0
x . x . . . .    . |  4 |  2   2 |  * 648    * |   1   10    0 |  10   30    0   0 |   30   20  10   0  0 |  20  10   5  5 0 |  5  5 1
. . x3o . . .    . |  3 |  0   3 |  *   * 2160 |   0    2    6 |   1   12    6   3 |    6   12   6   2  3 |   6   3   4  6 1 |  2  3 2
-------------------+----+--------+-------------+---------------+-------------------+----------------------+------------------+--------
x3o x . . . .    .   6 |  6   3 |  2   3    0 | 216    *    *   10    0    0   0 |   30    0   0   0  0 |  20  10   0  0 0 |  5  5 0
x . x3o . . .    .   6 |  3   6 |  0   3    2 |   * 2160    * |   1    6    0   0 |    6    6   3   0  0 |   6   3   2  3 0 |  2  3 1
. . x3o3o . .    .   4 |  0   6 |  0   0    4 |   *    * 3240 |   0    2    2   1 |    1    4   2   1  2 |   2   1   2  4 1 |  1  2 2
-------------------+----+--------+-------------+---------------+-------------------+----------------------+------------------+--------
x3o x3o . . .    .   9 |  9   9 |  3   9    3 |   3    3    0 | 720    *    *   *     6    0   0   0  0 |   6   3   0  0 0 |  2  3 0
x . x3o3o . .    .   8 |  4  12 |  0   6    8 |   0    4    2 |   * 3240    *   * |    1    2   1   0  0 |   2   1   1  2 0 |  1  2 1
. . x3o3o3o .    .   5 |  0  10 |  0   0   10 |   0    0    5 |   *    * 1296   * |    0    2   0   1  1 |   1   0   2  2 1 |  1  1 2
. . x3o3o . . *e3o   5 |  0  10 |  0   0   10 |   0    0    5 |   *    *    * 648 |    0    0   2   0  2 |   0   1   0  4 1 |  0  2 2
-------------------+----+--------+-------------+---------------+-------------------+----------------------+------------------+--------
x3o x3o3o . .    .  12 | 12  18 |  4  18   12 |   6   12    3 |   4    3    0   0 | 1080    *   *   *  * |   2   1   0  0 0 |  1  2 0
x . x3o3o3o .    .  10 |  5  20 |  0  10   20 |   0   10   10 |   0    5    2   0 |    * 1296   *   *  * |   1   0   1  1 0 |  1  1 1
x . x3o3o . . *e3o  10 |  5  20 |  0  10   20 |   0   10   10 |   0    5    0   2 |    *    * 648   *  * |   0   1   0  2 0 |  0  2 1
. . x3o3o3o3o    .   6 |  0  15 |  0   0   20 |   0    0   15 |   0    0    6   0 |    *    *   * 216  * |   0   0   2  0 1 |  1  0 2
. . x3o3o3o . *e3o  10 |  0  40 |  0   0   80 |   0    0   80 |   0    0   16  16 |    *    *   *   * 81 |   0   0   0  2 1 |  0  1 2
-------------------+----+--------+-------------+---------------+-------------------+----------------------+------------------+--------
x3o x3o3o3o .    .  15 | 15  30 |  5  30   30 |  10   30   15 |  10   15    3   0 |    5    3   0   0  0 | 432   *   *  * * |  1  1 0
x3o x3o3o . . *e3o  15 | 15  30 |  5  30   30 |  10   30   15 |  10   15    0   3 |    5    0   3   0  0 |   * 216   *  * * |  0  2 0
x . x3o3o3o3o    .  12 |  6  30 |  0  15   40 |   0   20   30 |   0   15   12   0 |    0    6   0   2  0 |   *   * 216  * * |  1  0 1
x . x3o3o3o . *e3o  20 | 10  80 |  0  40  160 |   0   80  160 |   0   80   32  32 |    0   16  16   0  2 |   *   *   * 81 * |  0  1 1
. . x3o3o3o3o *e3o  27 |  0 216 |  0   0  720 |   0    0 1080 |   0    0  432 216 |    0    0   0  72 27 |   *   *   *  * 3 |  0  0 2
-------------------+----+--------+-------------+---------------+-------------------+----------------------+------------------+--------
x3o x3o3o3o3o    .  36 | 36  45 |  6  45   60 |  15   60   45 |  20   45   18   0 |   15   18   0   3  0 |   6   0   3  0 0 | 72  * *
x3o x3o3o3o . *e3o  30 | 30 120 | 10 120  240 |  40  240  240 |  80  240   48  48 |   80   48  48   0  3 |  16  16   0  3 0 |  * 27 *
x . x3o3o3o3o *e3o  54 | 27 432 |  0 216 1440 |   0  720 2160 |   0 1080  864 432 |    0  432 216 144 54 |   0   0  72 27 2 |  *  * 3

ox xx3oo3oo3oo3oo *d3oo&#x   → height = sqrt(3)/2 = 0.866025
(jak || jakip)

... 

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