Acronym moarojak
Name mo-first monostratic cap of lin,
mo atop rojak
Circumradius sqrt(7)/2 = 1.322876
Confer
uniform relative:
lin  
segmentoexa:
rojakalrojak  
general polytopal classes:
segmentoexa   fundamental lace prisms  

Incidence matrix according to Dynkin symbol

oo3ox3oo3oo3oo *c3xo&#x   → height = 1/sqrt(3) = 0.577350
(mo || rojak)

o.3o.3o.3o.3o. *c3o.    | 72   *   20   15    0 |   90   60   60   0    0 |   60   60   20   60   60   90    0    0    0 |  15  30  15   15  20   30   60   60   0   0   0   0 |  6  6   6  15   6  30  15  0  0  0 | 1  1  6  6 0
.o3.o3.o3.o3.o *c3.o    |  * 216 |   0    5   20 |    0   40   10  10   60 |    0    0   20   60   20   10   30   40   20 |   0   0   0   30  10   40   20    5  20  10  10  10 |  0  0  20  10  10  10   1  5  5  2 | 0  5  5  2 1
------------------------+--------+---------------+-------------------------+----------------------------------------------+-----------------------------------------------------+------------------------------------+-------------
.. .. .. .. ..    x.    |  2   0 | 720    *    *     9    0    3   0    0 |    9    9    0    0    3    9    0    0    0 |   3   9   3    0   1    0    9    9   0   0   0   0 |  3  3   0   3   0   9   3  0  0  0 | 1  0  3  3 0
oo3oo3oo3oo3oo *c3oo&#x |  1   1 |   * 1080    *     0    8    4   0    0 |    0    0    4   12    8    6    0    0    0 |   0   0   0    6   4    8   12    4   0   0   0   0 |  0  0   4   6   2   8   1  0  0  0 | 0  1  4  2 0
.. .x .. .. ..    ..    |  0   2 |   *    * 2160 |    0    2    0   1    6 |    0    0    2    6    1    0    6    6    3 |   0   0   0    6   1    6    3    0   6   3   2   3 |  0  0   6   3   2   3   0  2  3  1 | 0  2  3  1 1
------------------------+--------+---------------+-------------------------+----------------------------------------------+-----------------------------------------------------+------------------------------------+-------------
.. .. o. .. .. *c3x.    |  3   0 |   3    0    0 | 2160    *    *   *    * |    2    2    0    0    0    1    0    0    0 |   1   4   1    0   0    0    2    2   0   0   0   0 |  2  2   0   1   0   4   1  0  0  0 | 1  0  2  2 0
.. ox .. .. ..    ..&#x |  1   2 |   0    2    1 |    * 4320    *   *    * |    0    0    1    3    1    0    0    0    0 |   0   0   0    3   1    3    3    0   0   0   0   0 |  0  0   3   3   1   3   0  0  0  0 | 0  1  3  1 0
.. .. .. .. ..    xo&#x |  2   1 |   1    2    0 |    *    * 2160   *    * |    0    0    0    0    2    3    0    0    0 |   0   0   0    0   1    0    6    3   0   0   0   0 |  0  0   0   3   0   6   1  0  0  0 | 0  0  3  2 0
.o3.x .. .. ..    ..    |  0   3 |   0    0    3 |    *    *    * 720    * |    0    0    2    0    0    0    6    0    0 |   0   0   0    6   1    0    0    0   6   3   0   0 |  0  0   6   3   0   0   0  2  3  0 | 0  2  3  0 1
.. .x3.o .. ..    ..    |  0   3 |   0    0    3 |    *    *    *   * 4320 |    0    0    0    1    0    0    1    2    1 |   0   0   0    1   0    2    1    0   2   1   1   2 |  0  0   2   1   1   2   0  1  2  1 | 0  1  2  1 1
------------------------+--------+---------------+-------------------------+----------------------------------------------+-----------------------------------------------------+------------------------------------+-------------
.. o.3o. .. .. *c3x.      4   0 |   6    0    0 |    4    0    0   0    0 | 1080    *    *    *    *    *    *    *    * |   1   2   0    0   0    0    1    0   0   0   0   0 |  2  1   0   1   0   2   0  0  0  0 | 1  0  2  1 0
.. .. o.3o. .. *c3x.      4   0 |   6    0    0 |    4    0    0   0    0 |    * 1080    *    *    *    *    *    *    * |   0   2   1    0   0    0    0    1   0   0   0   0 |  1  2   0   0   0   2   1  0  0  0 | 1  0  1  2 0
oo3ox .. .. ..    ..&#x   1   3 |   0    3    3 |    0    3    0   1    0 |    *    * 1440    *    *    *    *    *    * |   0   0   0    3   1    0    0    0   0   0   0   0 |  0  0   3   3   0   0   0  0  0  0 | 0  1  3  0 0
.. ox3oo .. ..    ..&#x   1   3 |   0    3    3 |    0    3    0   0    1 |    *    *    * 4320    *    *    *    *    * |   0   0   0    1   0    2    1    0   0   0   0   0 |  0  0   2   1   1   2   0  0  0  0 | 0  1  2  1 0
.. ox .. .. ..    xo&#x   2   2 |   1    4    1 |    0    2    2   0    0 |    *    *    *    * 2160    *    *    *    * |   0   0   0    0   1    0    3    0   0   0   0   0 |  0  0   0   3   0   3   0  0  0  0 | 0  0  3  1 0
.. .. oo .. .. *c3xo&#x   3   1 |   3    3    0 |    1    0    3   0    0 |    *    *    *    *    * 2160    *    *    * |   0   0   0    0   0    0    2    2   0   0   0   0 |  0  0   0   1   0   4   1  0  0  0 | 0  0  2  2 0
.o3.x3.o .. ..    ..      0   6 |   0    0   12 |    0    0    0   4    4 |    *    *    *    *    *    * 1080    *    * |   0   0   0    1   0    0    0    0   2   1   0   0 |  0  0   2   1   0   0   0  1  2  0 | 0  1  2  0 1
.. .x3.o3.o ..    ..      0   4 |   0    0    6 |    0    0    0   0    4 |    *    *    *    *    *    *    * 2160    * |   0   0   0    0   0    1    0    0   1   0   1   1 |  0  0   1   0   1   1   0  1  1  1 | 0  1  1  1 1
.. .x3.o .. .. *c3.o      0   4 |   0    0    6 |    0    0    0   0    4 |    *    *    *    *    *    *    *    * 1080 |   0   0   0    0   0    0    1    0   0   1   0   2 |  0  0   0   1   0   2   0  0  2  1 | 0  0  2  1 1
------------------------+--------+---------------+-------------------------+----------------------------------------------+-----------------------------------------------------+------------------------------------+-------------
o.3o.3o. .. .. *c3x.      5   0 |  10    0    0 |   10    0    0   0    0 |    5    0    0    0    0    0    0    0    0 | 216   *   *    *   *    *    *    *   *   *   *   * |  2  0   0   1   0   0   0  0  0  0 | 1  0  2  0 0
.. o.3o.3o. .. *c3x.      8   0 |  24    0    0 |   32    0    0   0    0 |    8    8    0    0    0    0    0    0    0 |   * 270   *    *   *    *    *    *   *   *   *   * |  1  1   0   0   0   1   0  0  0  0 | 1  0  1  1 0
.. .. o.3o.3o. *c3x.      5   0 |  10    0    0 |   10    0    0   0    0 |    0    5    0    0    0    0    0    0    0 |   *   * 216    *   *    *    *    *   *   *   *   * |  0  2   0   0   0   0   1  0  0  0 | 1  0  0  2 0
oo3ox3oo .. ..    ..&#x   1   6 |   0    6   12 |    0   12    0   4    4 |    0    0    4    4    0    0    1    0    0 |   *   *   * 1080   *    *    *    *   *   *   *   * |  0  0   2   1   0   0   0  0  0  0 | 0  1  2  0 0
oo3ox .. .. ..    xo&#x   2   3 |   1    6    3 |    0    6    3   1    0 |    0    0    2    0    3    0    0    0    0 |   *   *   *    * 720    *    *    *   *   *   *   * |  0  0   0   3   0   0   0  0  0  0 | 0  0  3  0 0
.. ox3oo3oo ..    ..&#x   1   4 |   0    4    6 |    0    6    0   0    4 |    0    0    0    4    0    0    0    1    0 |   *   *   *    *   * 2160    *    *   *   *   *   * |  0  0   1   0   1   1   0  0  0  0 | 0  1  1  1 0
.. ox3oo .. .. *c3xo&#x   4   4 |   6   12    6 |    4   12   12   0    4 |    1    0    0    4    6    4    0    0    1 |   *   *   *    *   *    * 1080    *   *   *   *   * |  0  0   0   1   0   2   0  0  0  0 | 0  0  2  1 0
.. .. oo3oo .. *c3xo&#x   4   1 |   6    4    0 |    4    0    6   0    0 |    0    1    0    0    0    4    0    0    0 |   *   *   *    *   *    *    * 1080   *   *   *   * |  0  0   0   0   0   2   1  0  0  0 | 0  0  1  2 0
.o3.x3.o3.o ..    ..      0  10 |   0    0   30 |    0    0    0  10   20 |    0    0    0    0    0    0    5    5    0 |   *   *   *    *   *    *    *    * 432   *   *   * |  0  0   1   0   0   0   0  1  1  0 | 0  1  1  0 1
.o3.x3.o .. .. *c3.o      0  10 |   0    0   30 |    0    0    0  10   20 |    0    0    0    0    0    0    5    0    5 |   *   *   *    *   *    *    *    *   * 216   *   * |  0  0   0   1   0   0   0  0  2  0 | 0  0  2  0 1
.. .x3.o3.o3.o    ..      0   5 |   0    0   10 |    0    0    0   0   10 |    0    0    0    0    0    0    0    5    0 |   *   *   *    *   *    *    *    *   *   * 432   * |  0  0   0   0   1   0   0  1  0  1 | 0  1  0  1 1
.. .x3.o3.o .. *c3.o      0   8 |   0    0   24 |    0    0    0   0   32 |    0    0    0    0    0    0    0    8    8 |   *   *   *    *   *    *    *    *   *   *   * 270 |  0  0   0   0   0   1   0  0  1  1 | 0  0  1  1 1
------------------------+--------+---------------+-------------------------+----------------------------------------------+-----------------------------------------------------+------------------------------------+-------------
o.3o.3o.3o. .. *c3x.     16   0 |  80    0    0 |  160    0    0   0    0 |   80   40    0    0    0    0    0    0    0 |  16  10   0    0   0    0    0    0   0   0   0   0 | 27  *   *   *   *   *   *  *  *  * | 1  0  1  0 0
.. o.3o.3o.3o. *c3x.     16   0 |  80    0    0 |  160    0    0   0    0 |   40   80    0    0    0    0    0    0    0 |   0  10  16    0   0    0    0    0   0   0   0   0 |  * 27   *   *   *   *   *  *  *  * | 1  0  0  1 0
oo3ox3oo3oo ..    ..&#x   1  10 |   0   10   30 |    0   30    0  10   20 |    0    0   10   20    0    0    5    5    0 |   0   0   0    5   0    5    0    0   1   0   0   0 |  *  * 432   *   *   *   *  *  *  * | 0  1  1  0 0
oo3ox3oo .. .. *c3xo&#x   5  10 |  10   30   30 |   10   60   30  10   20 |    5    0   20   20   30   10    5    0    5 |   1   0   0    5  10    0    5    0   0   1   0   0 |  *  *   * 216   *   *   *  *  *  * | 0  0  2  0 0
.. ox3oo3oo3oo    ..&#x   1   5 |   0    5   10 |    0   10    0   0   10 |    0    0    0   10    0    0    0    5    0 |   0   0   0    0   0    5    0    0   0   0   1   0 |  *  *   *   * 432   *   *  *  *  * | 0  1  0  1 0
.. ox3oo3oo .. *c3xo&#x   8   8 |  24   32   24 |   32   48   48   0   32 |    8    8    0   32   24   32    0    8    8 |   0   1   0    0   0    8    8    8   0   0   0   1 |  *  *   *   *   * 270   *  *  *  * | 0  0  1  1 0
.. .. oo3oo3oo *c3xo&#x   5   1 |  10    5    0 |   10    0   10   0    0 |    0    5    0    0    0   10    0    0    0 |   0   0   1    0   0    0    0    5   0   0   0   0 |  *  *   *   *   *   * 216  *  *  * | 0  0  0  2 0
.o3.x3.o3.o3.o    ..      0  15 |   0    0   60 |    0    0    0  20   60 |    0    0    0    0    0    0   15   30    0 |   0   0   0    0   0    0    0    0   6   0   6   0 |  *  *   *   *   *   *   * 72  *  * | 0  1  0  0 1
.o3.x3.o3.o .. *c3.o      0  40 |   0    0  240 |    0    0    0  80  320 |    0    0    0    0    0    0   80   80   80 |   0   0   0    0   0    0    0    0  16  16   0  10 |  *  *   *   *   *   *   *  * 27  * | 0  0  1  0 1
.. .x3.o3.o3.o *c3.o      0  16 |   0    0   80 |    0    0    0   0  160 |    0    0    0    0    0    0    0   80   40 |   0   0   0    0   0    0    0    0   0   0  16  10 |  *  *   *   *   *   *   *  *  * 27 | 0  0  0  1 1
------------------------+--------+---------------+-------------------------+----------------------------------------------+-----------------------------------------------------+------------------------------------+-------------
o.3o.3o.3o.3o. *c3x.     72   0 | 720    0    0 | 2160    0    0   0    0 | 1080 1080    0    0    0    0    0    0    0 | 216 270 216    0   0    0    0    0   0   0   0   0 | 27 27   0   0   0   0   0  0  0  0 | 1  *  *  * *
oo3ox3oo3oo3oo    ..&#x   1  15 |   0   15   60 |    0   60    0  20   60 |    0    0   20   60    0    0   15   30    0 |   0   0   0   15   0   30    0    0   6   0   6   0 |  0  0   6   0   6   0   0  1  0  0 | * 72  *  * *
oo3ox3oo3oo .. *c3xo&#x  16  40 |  80  160  240 |  160  480  240  80  320 |   80   40  160  320  240  160   80   80   80 |  16  10   0   80  80   80   80   40  16  16   0  10 |  1  0  16  16   0  10   0  0  1  0 | *  * 27  * *
.. ox3oo3oo3oo *c3xo&#x  16  16 |  80   80   80 |  160  160  160   0  160 |   40   80    0  160   80  160    0   80   40 |   0  10  16    0   0   80   40   80   0   0  16  10 |  0  1   0   0  16  10  16  0  0  1 | *  *  * 27 *
.o3.x3.o3.o3.o *c3.o      0 216 |   0    0 2160 |    0    0    0 720 4320 |    0    0    0    0    0    0 1080 2160 1080 |   0   0   0    0   0    0    0    0 432 216 432 270 |  0  0   0   0   0   0   0 72 27 27 | *  *  *  * 1

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