Acronym ratasiphin
Name rat atop siphin,
rat-first cap of rojak
Circumradius sqrt(5/3) = 1.290994
Confer
uniform relative:
rojak  
general polytopal classes:
segmentopeta   fundamental lace prisms  

Incidence matrix according to Dynkin symbol

ox3oo3oo *b3xo3ox&#x   → height = sqrt(3/8) = 0.612372
(rat || siphin)

o.3o.3o. *b3o.3o.    | 40  *   12   8   0   0 |  24  6  12  24   4   0   0   0 |  8  8 12   8  12  24  12   6  0  0   0  0  0 |  2  4  4  2  8  8 12   4  6  0  0  0  0 | 1  2  4  1  4 0
.o3.o3.o *b3.o3.o    |  * 80 |   0   4   6   4 |   0  0  12   6   4  12  12   6 |  0  0  0  12   6   4   6  12  4  4  12  6  4 |  0  0  0  4  4  1  4  12  6  1  4  4  1 | 0  1  1  4  4 1
---------------------+-------+-----------------+--------------------------------+----------------------------------------------+-----------------------------------------+----------------
.. .. ..    x. ..    |  2  0 | 240   *   *   * |   4  1   0   2   0   0   0   0 |  2  2  4   0   1   2   2   0  0  0   0  0  0 |  1  2  2  0  2  2  4   0  1  0  0  0  0 | 1  1  2  0  2 0
oo3oo3oo *b3oo3oo&#x |  1  1 |   * 320   *   * |   0  0   3   3   1   0   0   0 |  0  0  0   3   3   3   3   3  0  0   0  0  0 |  0  0  0  1  3  1  3   3  3  0  0  0  0 | 0  1  1  1  2 0
.x .. ..    .. ..    |  0  2 |   *   * 240   * |   0  0   2   0   0   4   2   0 |  0  0  0   4   1   0   0   2  2  2   4  1  0 |  0  0  0  2  2  0  0   4  1  1  2  2  0 | 0  1  0  2  2 1
.. .. ..    .. .x    |  0  2 |   *   *   * 160 |   0  0   0   0   1   0   3   3 |  0  0  0   0   0   0   3   3  0  0   3  3  3 |  0  0  0  0  0  0  3   3  3  0  1  3  1 | 0  0  1  1  3 1
---------------------+-------+-----------------+--------------------------------+----------------------------------------------+-----------------------------------------+----------------
.. o. .. *b3x. ..    |  3  0 |   3   0   0   0 | 320  *   *   *   *   *   *   * |  1  1  1   0   0   1   0   0  0  0   0  0  0 |  1  1  1  0  1  1  1   0  0  0  0  0  0 | 1  1  1  0  1 0
.. .. ..    x.3o.    |  3  0 |   3   0   0   0 |   * 80   *   *   *   *   *   *   0  0  4   0   0   0   2   0  0  0   0  0  0 |  0  2  2  0  0  0  4   0  1  0  0  0  0 | 1  0  2  0  2 0
ox .. ..    .. ..&#x |  1  2 |   0   2   1   0 |   *  * 480   *   *   *   *   * |  0  0  0   2   1   0   0   1  0  0   0  0  0 |  0  0  0  1  2  0  0   2  1  0  0  0  0 | 0  1  0  1  2 0
.. .. ..    xo ..&#x |  2  1 |   1   2   0   0 |   *  *   * 480   *   *   *   * |  0  0  0   0   1   2   1   0  0  0   0  0  0 |  0  0  0  0  2  1  2   0  1  0  0  0  0 | 0  1  1  0  2 0
.. .. ..    .. ox&#x |  1  2 |   0   2   0   1 |   *  *   *   * 160   *   *   *   0  0  0   0   0   0   3   3  0  0   0  0  0 |  0  0  0  0  0  0  3   3  3  0  0  0  0 | 0  0  1  1  3 0
.x3.o ..    .. ..    |  0  3 |   0   0   3   0 |   *  *   *   *   * 320   *   * |  0  0  0   1   0   0   0   0  1  1   1  0  0 |  0  0  0  1  1  0  0   1  0  1  1  1  0 | 0  1  0  1  1 1
.x .. ..    .. .x    |  0  4 |   0   0   2   2 |   *  *   *   *   *   * 240   * |  0  0  0   0   0   0   0   1  0  0   2  1  0 |  0  0  0  0  0  0  0   2  1  0  1  2  0 | 0  0  0  1  2 1
.. .. ..    .o3.x    |  0  3 |   0   0   0   3 |   *  *   *   *   *   *   * 160 |  0  0  0   0   0   0   1   0  0  0   0  1  2 |  0  0  0  0  0  0  2   0  1  0  0  2  1 | 0  0  1  0  2 1
---------------------+-------+-----------------+--------------------------------+----------------------------------------------+-----------------------------------------+----------------
o.3o. .. *b3x. ..      4  0 |   6   0   0   0 |   4  0   0   0   0   0   0   0 | 80  *  *   *   *   *   *   *  *  *   *  *  * |  1  1  0  0  1  0  0   0  0  0  0  0  0 | 1  1  0  0  1 0
.. o.3o. *b3x. ..      4  0 |   6   0   0   0 |   4  0   0   0   0   0   0   0 |  * 80  *   *   *   *   *   *  *  *   *  *  * |  1  0  1  0  0  0  1   0  0  0  0  0  0 | 1  1  1  0  0 0
.. o. .. *b3x.3o.      6  0 |  12   0   0   0 |   4  4   0   0   0   0   0   0 |  *  * 80   *   *   *   *   *  *  *   *  *  * |  0  1  1  0  0  0  1   0  0  0  0  0  0 | 1  0  1  0  1 0
ox3oo ..    .. ..&#x   1  3 |   0   3   3   0 |   0  0   3   0   0   1   0   0 |  *  *  * 320   *   *   *   *  *  *   *  *  * |  0  0  0  1  1  0  0   1  0  0  0  0  0 | 0  1  0  1  1 0
ox .. ..    xo ..&#x   2  2 |   1   4   1   0 |   0  0   2   2   0   0   0   0 |  *  *  *   * 240   *   *   *  *  *   *  *  * |  0  0  0  0  2  0  0   0  1  0  0  0  0 | 0  1  0  0  2 0
.. oo .. *b3xo ..&#x   3  1 |   3   3   0   0 |   1  0   0   3   0   0   0   0 |  *  *  *   *   * 320   *   *  *  *   *  *  * |  0  0  0  0  1  1  1   0  0  0  0  0  0 | 0  1  1  0  1 0
.. .. ..    xo3ox&#x   3  3 |   3   6   0   3 |   0  1   0   3   3   0   0   1 |  *  *  *   *   *   * 160   *  *  *   *  *  * |  0  0  0  0  0  0  2   0  1  0  0  0  0 | 0  0  1  0  2 0
ox .. ..    .. ox&#x   1  4 |   0   4   2   2 |   0  0   2   0   2   0   1   0 |  *  *  *   *   *   *   * 240  *  *   *  *  * |  0  0  0  0  0  0  0   2  1  0  0  0  0 | 0  0  0  1  2 0
.x3.o3.o    .. ..      0  4 |   0   0   6   0 |   0  0   0   0   0   4   0   0 |  *  *  *   *   *   *   *   * 80  *   *  *  * |  0  0  0  1  0  0  0   0  0  1  1  0  0 | 0  1  0  1  0 1
.x3.o .. *b3.o ..      0  4 |   0   0   6   0 |   0  0   0   0   0   4   0   0 |  *  *  *   *   *   *   *   *  * 80   *  *  * |  0  0  0  0  1  0  0   0  0  1  0  1  0 | 0  1  0  0  1 1
.x3.o ..    .. .x      0  6 |   0   0   6   3 |   0  0   0   0   0   2   3   0 |  *  *  *   *   *   *   *   *  *  * 160  *  * |  0  0  0  0  0  0  0   1  0  0  1  1  0 | 0  0  0  1  1 1
.x .. ..    .o3.x      0  6 |   0   0   3   6 |   0  0   0   0   0   0   3   2 |  *  *  *   *   *   *   *   *  *  *   * 80  * |  0  0  0  0  0  0  0   0  1  0  0  2  0 | 0  0  0  0  2 1
.. .o .. *b3.o3.x      0  4 |   0   0   0   6 |   0  0   0   0   0   0   0   4 |  *  *  *   *   *   *   *   *  *  *   *  * 80 |  0  0  0  0  0  0  1   0  0  0  0  1  1 | 0  0  1  0  1 1
---------------------+-------+-----------------+--------------------------------+----------------------------------------------+-----------------------------------------+----------------
o.3o.3o. *b3x. ..      8  0 |  24   0   0   0 |  32  0   0   0   0   0   0   0 |  8  8  0   0   0   0   0   0  0  0   0  0  0 | 10  *  *  *  *  *  *   *  *  *  *  *  * | 1  1  0  0  0 0
o.3o. .. *b3x.3o.     10  0 |  30   0   0   0 |  20 10   0   0   0   0   0   0 |  5  0  5   0   0   0   0   0  0  0   0  0  0 |  * 16  *  *  *  *  *   *  *  *  *  *  * | 1  0  0  0  1 0
.. o.3o. *b3x.3o.     10  0 |  30   0   0   0 |  20 10   0   0   0   0   0   0 |  0  5  5   0   0   0   0   0  0  0   0  0  0 |  *  * 16  *  *  *  *   *  *  *  *  *  * | 1  0  1  0  0 0
ox3oo3oo    .. ..&#x   1  4 |   0   4   6   0 |   0  0   6   0   0   4   0   0 |  0  0  0   4   0   0   0   0  1  0   0  0  0 |  *  *  * 80  *  *  *   *  *  *  *  *  * | 0  1  0  1  0 0
ox3oo .. *b3xo ..&#x   4  4 |   6  12   6   0 |   4  0  12  12   0   4   0   0 |  1  0  0   4   6   4   0   0  0  1   0  0  0 |  *  *  *  * 80  *  *   *  *  *  *  *  * | 0  1  0  0  1 0
.. oo3oo *b3xo ..&#x   4  1 |   6   4   0   0 |   4  0   0   6   0   0   0   0 |  0  1  0   0   0   4   0   0  0  0   0  0  0 |  *  *  *  *  * 80  *   *  *  *  *  *  * | 0  1  1  0  0 0
.. oo .. *b3xo3ox&#x   6  4 |  12  12   0   6 |   4  4   0  12   6   0   0   4 |  0  0  1   0   0   4   4   0  0  0   0  0  1 |  *  *  *  *  *  * 80   *  *  *  *  *  * | 0  0  1  0  1 0
ox3oo ..    .. ox&#x   1  6 |   0   6   6   3 |   0  0   6   0   3   2   3   0 |  0  0  0   2   0   0   0   3  0  0   1  0  0 |  *  *  *  *  *  *  * 160  *  *  *  *  * | 0  0  0  1  1 0
ox .. ..    xo3ox&#x   3  6 |   3  12   3   6 |   0  1   6   6   6   0   3   2 |  0  0  0   0   3   0   2   3  0  0   0  1  0 |  *  *  *  *  *  *  *   * 80  *  *  *  * | 0  0  0  0  2 0
.x3.o3.o *b3.o ..      0  8 |   0   0  24   0 |   0  0   0   0   0  32   0   0 |  0  0  0   0   0   0   0   0  8  8   0  0  0 |  *  *  *  *  *  *  *   *  * 10  *  *  * | 0  1  0  0  0 1
.x3.o3.o    .. .x      0  8 |   0   0  12   4 |   0  0   0   0   0   8   6   0 |  0  0  0   0   0   0   0   0  2  0   4  0  0 |  *  *  *  *  *  *  *   *  *  * 40  *  * | 0  0  0  1  0 1
.x3.o .. *b3.o3.x      0 20 |   0   0  30  30 |   0  0   0   0   0  20  30  20 |  0  0  0   0   0   0   0   0  0  5  10 10  5 |  *  *  *  *  *  *  *   *  *  *  * 16  * | 0  0  0  0  1 1
.. .o3.o *b3.o3.x      0  5 |   0   0   0  10 |   0  0   0   0   0   0   0  10 |  0  0  0   0   0   0   0   0  0  0   0  0  5 |  *  *  *  *  *  *  *   *  *  *  *  * 16 | 0  0  1  0  0 1
---------------------+-------+-----------------+--------------------------------+----------------------------------------------+-----------------------------------------+----------------
o.3o.3o. *b3x.3o.     40  0 | 240   0   0   0 | 320 80   0   0   0   0   0   0 | 80 80 80   0   0   0   0   0  0  0   0  0  0 | 10 16 16  0  0  0  0   0  0  0  0  0  0 | 1  *  *  *  * *
ox3oo3oo *b3xo ..&#x   8  8 |  24  32  24   0 |  32  0  48  48   0  32   0   0 |  8  8  0  32  24  32   0   0  8  8   0  0  0 |  1  0  0  8  8  8  0   0  0  1  0  0  0 | * 10  *  *  * *
.. oo3oo *b3xo3ox&#x  10  5 |  30  20   0  10 |  20 10   0  30  10   0   0  10 |  0  5  5   0   0  20  10   0  0  0   0  0  5 |  0  0  1  0  0  5  5   0  0  0  0  0  1 | *  * 16  *  * *
ox3oo3oo    .. ox&#x   1  8 |   0   8  12   4 |   0  0  12   0   4   8   6   0 |  0  0  0   8   0   0   0   6  2  0   4  0  0 |  0  0  0  2  0  0  0   4  0  0  1  0  0 | *  *  * 40  * *
ox3oo .. *b3xo3ox&#x  10 20 |  30  60  30  30 |  20 10  60  60  30  20  30  20 |  5  0  5  20  30  20  20  30  0  5  10 10  5 |  0  1  0  0  5  0  5  10 10  0  0  1  0 | *  *  *  * 16 *
.x3.o3.o *b3.o3.x      0 80 |   0   0 240 160 |   0  0   0   0   0 320 240 160 |  0  0  0   0   0   0   0   0 80 80 160 80 80 |  0  0  0  0  0  0  0   0  0 10 40 16 16 | *  *  *  *  * 1

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