Acronym spixalsarx
Name spix atop inverted sarx
Circumradius sqrt(5/3) = 1.290994
Face vector 120, 870, 1790, 1530, 554, 64
Confer
uniform relative:
rojak  
general polytopal classes:
segmentopeta   fundamental lace prisms   lace simplices  

This polypeton occurs also as subsegment within rojak.


Incidence matrix according to Dynkin symbol

xo3oo3ox3xo3ox&#xt   → height = 1/2
(spix  || inv sarx)

o.3o.3o.3o.3o.    | 60  * |  3   6   6   0  0 |  3  12   6  3  12   6   6   3   0  0  0  0 |  1  6  6  6  2  3   6   6  12   6   2   6   3  3  0  0  0  0 | 2  3  3 1  2  6  3  6  3  6  2  1  3 0  0 0 | 1 2  1  3  3 1 0
.o3.o3.o3.o3.o    |  * 60 |  0   0   6   6  2 |  0   0   0  0   6  12   3   6   6  3  6  1 |  0  0  0  0  0  0   2   6   3   6   6   6  12  3  2  3  6  3 | 0  0  0 0  2  1  2  3  6  3  3  6  6 1  2 3 | 0 1  2  1  3 3 1
------------------+-------+-------------------+--------------------------------------------+--------------------------------------------------------------+---------------------------------------------+-----------------
x. .. .. .. ..    |  2  0 | 90   *   *   *  * |  2   4   0  0   4   0   0   0   0  0  0  0 |  1  4  2  2  0  0   4   2   4   2   0   0   0  0  0  0  0  0 | 2  2  1 0  2  4  2  2  1  2  0  0  0 0  0 0 | 1 2  1  2  1 0 0
.. .. .. x. ..    |  2  0 |  * 180   *   *  * |  0   2   2  1   0   0   1   0   0  0  0  0 |  0  1  2  2  1  2   0   0   2   0   0   2   0  1  0  0  0  0 | 1  1  2 1  0  1  0  2  0  2  1  0  2 0  0 0 | 1 1  0  1  2 1 0
oo3oo3oo3oo3oo&#x |  1  1 |  *   * 360   *  * |  0   0   0  0   2   2   1   1   0  0  0  0 |  0  0  0  0  0  0   1   2   2   2   1   2   2  1  0  0  0  0 | 0  0  0 0  1  1  1  2  2  2  1  1  2 0  0 0 | 0 1  1  1  2 1 0
.. .. .x .. ..    |  0  2 |  *   *   * 180  * |  0   0   0  0   0   2   0   0   2  1  1  0 |  0  0  0  0  0  0   0   1   0   0   2   2   2  0  1  2  2  1 | 0  0  0 0  1  0  0  1  1  0  2  2  2 1  1 2 | 0 1  1  0  1 2 1
.. .. .. .. .x    |  0  2 |  *   *   *   * 60 |  0   0   0  0   0   0   0   3   0  0  3  1 |  0  0  0  0  0  0   0   0   0   3   0   0   6  3  0  0  3  3 | 0  0  0 0  0  0  1  0  3  3  0  3  6 0  1 3 | 0 0  1  1  3 3 1
------------------+-------+-------------------+--------------------------------------------+--------------------------------------------------------------+---------------------------------------------+-----------------
x.3o. .. .. ..    |  3  0 |  3   0   0   0  0 | 60   *   *  *   *   *   *   *   *  *  *  * |  1  2  0  0  0  0   2   0   0   0   0   0   0  0  0  0  0  0 | 2  1  0 0  2  2  1  0  0  0  0  0  0 0  0 0 | 1 2  1  1  0 0 0
x. .. .. x. ..    |  4  0 |  2   2   0   0  0 |  * 180   *  *   *   *   *   *   *  *  *  * |  0  1  1  1  0  0   0   0   1   0   0   0   0  0  0  0  0  0 | 1  1  1 0  0  1  0  1  0  1  0  0  0 0  0 0 | 1 1  0  1  1 0 0
.. .. o.3x. ..    |  3  0 |  0   3   0   0  0 |  *   * 120  *   *   *   *   *   *  *  *  * |  0  0  1  0  1  1   0   0   0   0   0   1   0  0  0  0  0  0 | 1  0  1 1  0  0  0  1  0  0  1  0  1 0  0 0 | 1 1  0  0  1 1 0
.. .. .. x.3o.    |  3  0 |  0   3   0   0  0 |  *   *   * 60   *   *   *   *   *  *  *  * |  0  0  0  2  0  2   0   0   0   0   0   0   0  1  0  0  0  0 | 0  1  2 1  0  0  0  0  0  2  0  0  2 0  0 0 | 1 0  0  1  2 1 0
xo .. .. .. ..&#x |  2  1 |  1   0   2   0  0 |  *   *   *  * 360   *   *   *   *  *  *  * |  0  0  0  0  0  0   1   1   1   1   0   0   0  0  0  0  0  0 | 0  0  0 0  1  1  1  1  1  1  0  0  0 0  0 0 | 0 1  1  1  1 0 0
.. .. ox .. ..&#x |  1  2 |  0   0   2   1  0 |  *   *   *  *   * 360   *   *   *  *  *  * |  0  0  0  0  0  0   0   1   0   0   1   1   1  0  0  0  0  0 | 0  0  0 0  1  0  0  1  1  0  1  1  1 0  0 0 | 0 1  1  0  1 1 0
.. .. .. xo ..&#x |  2  1 |  0   1   2   0  0 |  *   *   *  *   *   * 180   *   *  *  *  * |  0  0  0  0  0  0   0   0   2   0   0   2   0  1  0  0  0  0 | 0  0  0 0  0  1  0  2  0  2  1  0  2 0  0 0 | 0 1  0  1  2 1 0
.. .. .. .. ox&#x |  1  2 |  0   0   2   0  1 |  *   *   *  *   *   *   * 180   *  *  *  * |  0  0  0  0  0  0   0   0   0   2   0   0   2  1  0  0  0  0 | 0  0  0 0  0  0  1  0  2  2  0  1  2 0  0 0 | 0 0  1  1  2 1 0
.. .o3.x .. ..    |  0  3 |  0   0   0   3  0 |  *   *   *  *   *   *   *   * 120  *  *  * |  0  0  0  0  0  0   0   0   0   0   1   0   0  0  1  1  1  0 | 0  0  0 0  1  0  0  0  0  0  1  1  0 1  1 1 | 0 1  1  0  0 1 1
.. .. .x3.o ..    |  0  3 |  0   0   0   3  0 |  *   *   *  *   *   *   *   *   * 60  *  * |  0  0  0  0  0  0   0   0   0   0   0   2   0  0  0  2  0  1 | 0  0  0 0  0  0  0  1  0  0  2  0  2 1  0 2 | 0 1  0  0  1 2 1
.. .. .x .. .x    |  0  4 |  0   0   0   2  2 |  *   *   *  *   *   *   *   *   *  * 90  * |  0  0  0  0  0  0   0   0   0   0   0   0   2  0  0  0  2  1 | 0  0  0 0  0  0  0  0  1  0  0  2  2 0  1 2 | 0 0  1  0  1 2 1
.. .. .. .o3.x    |  0  3 |  0   0   0   0  3 |  *   *   *  *   *   *   *   *   *  *  * 20 |  0  0  0  0  0  0   0   0   0   0   0   0   0  3  0  0  0  3 | 0  0  0 0  0  0  0  0  0  3  0  0  6 0  0 3 | 0 0  0  1  3 3 1
------------------+-------+-------------------+--------------------------------------------+--------------------------------------------------------------+---------------------------------------------+-----------------
x.3o.3o. .. ..      4  0 |  6   0   0   0  0 |  4   0   0  0   0   0   0   0   0  0  0  0 | 15  *  *  *  *  *   *   *   *   *   *   *   *  *  *  *  *  * | 2  0  0 0  2  0  0  0  0  0  0  0  0 0  0 0 | 1 2  1  0  0 0 0
x.3o. .. x. ..      6  0 |  6   3   0   0  0 |  2   3   0  0   0   0   0   0   0  0  0  0 |  * 60  *  *  *  *   *   *   *   *   *   *   *  *  *  *  *  * | 1  1  0 0  0  1  0  0  0  0  0  0  0 0  0 0 | 1 1  0  1  0 0 0
x. .. o.3x. ..      6  0 |  3   6   0   0  0 |  0   3   2  0   0   0   0   0   0  0  0  0 |  *  * 60  *  *  *   *   *   *   *   *   *   *  *  *  *  *  * | 1  0  1 0  0  0  0  1  0  0  0  0  0 0  0 0 | 1 1  0  0  1 0 0
x. .. .. x.3o.      6  0 |  3   6   0   0  0 |  0   3   0  2   0   0   0   0   0  0  0  0 |  *  *  * 60  *  *   *   *   *   *   *   *   *  *  *  *  *  * | 0  1  1 0  0  0  0  0  0  1  0  0  0 0  0 0 | 1 0  0  1  1 0 0
.. o.3o.3x. ..      4  0 |  0   6   0   0  0 |  0   0   4  0   0   0   0   0   0  0  0  0 |  *  *  *  * 30  *   *   *   *   *   *   *   *  *  *  *  *  * | 1  0  0 1  0  0  0  0  0  0  1  0  0 0  0 0 | 1 1  0  0  0 1 0
.. .. o.3x.3o.      6  0 |  0  12   0   0  0 |  0   0   4  4   0   0   0   0   0  0  0  0 |  *  *  *  *  * 30   *   *   *   *   *   *   *  *  *  *  *  * | 0  0  1 1  0  0  0  0  0  0  0  0  1 0  0 0 | 1 0  0  0  1 1 0
xo3oo .. .. ..&#x   3  1 |  3   0   3   0  0 |  1   0   0  0   3   0   0   0   0  0  0  0 |  *  *  *  *  *  * 120   *   *   *   *   *   *  *  *  *  *  * | 0  0  0 0  1  1  1  0  0  0  0  0  0 0  0 0 | 0 1  1  1  0 0 0
xo .. ox .. ..&#x   2  2 |  1   0   4   1  0 |  0   0   0  0   2   2   0   0   0  0  0  0 |  *  *  *  *  *  *   * 180   *   *   *   *   *  *  *  *  *  * | 0  0  0 0  1  0  0  1  1  0  0  0  0 0  0 0 | 0 1  1  0  1 0 0
xo .. .. xo ..&#x   4  1 |  2   2   4   0  0 |  0   1   0  0   2   0   2   0   0  0  0  0 |  *  *  *  *  *  *   *   * 180   *   *   *   *  *  *  *  *  * | 0  0  0 0  0  1  0  1  0  1  0  0  0 0  0 0 | 0 1  0  1  1 0 0
xo .. .. .. ox&#x   2  2 |  1   0   4   0  1 |  0   0   0  0   2   0   0   2   0  0  0  0 |  *  *  *  *  *  *   *   *   * 180   *   *   *  *  *  *  *  * | 0  0  0 0  0  0  1  0  1  1  0  0  0 0  0 0 | 0 0  1  1  1 0 0
.. oo3ox .. ..&#x   1  3 |  0   0   3   3  0 |  0   0   0  0   0   3   0   0   1  0  0  0 |  *  *  *  *  *  *   *   *   *   * 120   *   *  *  *  *  *  * | 0  0  0 0  1  0  0  0  0  0  1  1  0 0  0 0 | 0 1  1  0  0 1 0
.. .. ox3xo ..&#x   3  3 |  0   3   6   3  0 |  0   0   1  0   0   3   3   0   0  1  0  0 |  *  *  *  *  *  *   *   *   *   *   * 120   *  *  *  *  *  * | 0  0  0 0  0  0  0  1  0  0  1  0  1 0  0 0 | 0 1  0  0  1 1 0
.. .. ox .. ox&#x   1  4 |  0   0   4   2  2 |  0   0   0  0   0   2   0   2   0  0  1  0 |  *  *  *  *  *  *   *   *   *   *   *   * 180  *  *  *  *  * | 0  0  0 0  0  0  0  0  1  0  0  1  1 0  0 0 | 0 0  1  0  1 1 0
.. .. .. xo3ox&#x   3  3 |  0   3   6   0  3 |  0   0   0  1   0   0   3   3   0  0  0  1 |  *  *  *  *  *  *   *   *   *   *   *   *   * 60  *  *  *  * | 0  0  0 0  0  0  0  0  0  2  0  0  2 0  0 0 | 0 0  0  1  2 1 0
.o3.o3.x .. ..      0  4 |  0   0   0   6  0 |  0   0   0  0   0   0   0   0   4  0  0  0 |  *  *  *  *  *  *   *   *   *   *   *   *   *  * 30  *  *  * | 0  0  0 0  1  0  0  0  0  0  0  0  0 1  1 0 | 0 1  1  0  0 0 1
.. .o3.x3.o ..      0  6 |  0   0   0  12  0 |  0   0   0  0   0   0   0   0   4  4  0  0 |  *  *  *  *  *  *   *   *   *   *   *   *   *  *  * 30  *  * | 0  0  0 0  0  0  0  0  0  0  1  0  0 1  0 1 | 0 1  0  0  0 1 1
.. .o3.x .. .x      0  6 |  0   0   0   6  3 |  0   0   0  0   0   0   0   0   2  0  3  0 |  *  *  *  *  *  *   *   *   *   *   *   *   *  *  *  * 60  * | 0  0  0 0  0  0  0  0  0  0  0  1  0 0  1 1 | 0 0  1  0  0 1 1
.. .. .x3.o3.x      0 12 |  0   0   0  12 12 |  0   0   0  0   0   0   0   0   0  4  6  4 |  *  *  *  *  *  *   *   *   *   *   *   *   *  *  *  *  * 15 | 0  0  0 0  0  0  0  0  0  0  0  0  2 0  0 2 | 0 0  0  0  1 2 1
------------------+-------+-------------------+--------------------------------------------+--------------------------------------------------------------+---------------------------------------------+-----------------
x.3o.3o.3x. ..     20  0 | 30  30   0   0  0 | 20  30  20  0   0   0   0   0   0  0  0  0 |  5 10 10  0  5  0   0   0   0   0   0   0   0  0  0  0  0  0 | 6  *  * *  *  *  *  *  *  *  *  *  * *  * * | 1 1  0  0  0 0 0
x.3o. .. x.3o.      9  0 |  9   9   0   0  0 |  3   9   0  3   0   0   0   0   0  0  0  0 |  0  3  0  3  0  0   0   0   0   0   0   0   0  0  0  0  0  0 | * 20  * *  *  *  *  *  *  *  *  *  * *  * * | 1 0  0  1  0 0 0
x. .. o.3x.3o.     12  0 |  6  24   0   0  0 |  0  12   8  8   0   0   0   0   0  0  0  0 |  0  0  4  4  0  2   0   0   0   0   0   0   0  0  0  0  0  0 | *  * 15 *  *  *  *  *  *  *  *  *  * *  * * | 1 0  0  0  1 0 0
.. o.3o.3x.3o.     10  0 |  0  30   0   0  0 |  0   0  20 10   0   0   0   0   0  0  0  0 |  0  0  0  0  5  5   0   0   0   0   0   0   0  0  0  0  0  0 | *  *  * 6  *  *  *  *  *  *  *  *  * *  * * | 1 0  0  0  0 1 0
xo3oo3ox .. ..&#x   4  4 |  6   0  12   6  0 |  4   0   0  0  12  12   0   0   4  0  0  0 |  1  0  0  0  0  0   4   6   0   0   4   0   0  0  1  0  0  0 | *  *  * * 30  *  *  *  *  *  *  *  * *  * * | 0 1  1  0  0 0 0
xo3oo .. xo ..&#x   6  1 |  6   3   6   0  0 |  2   3   0  0   6   0   3   0   0  0  0  0 |  0  1  0  0  0  0   2   0   3   0   0   0   0  0  0  0  0  0 | *  *  * *  * 60  *  *  *  *  *  *  * *  * * | 0 1  0  1  0 0 0
xo3oo .. .. ox&#x   3  2 |  3   0   6   0  1 |  1   0   0  0   6   0   0   3   0  0  0  0 |  0  0  0  0  0  0   2   0   0   3   0   0   0  0  0  0  0  0 | *  *  * *  *  * 60  *  *  *  *  *  * *  * * | 0 0  1  1  0 0 0
xo .. ox3xo ..&#x   6  3 |  3   6  12   3  0 |  0   3   2  0   6   6   6   0   0  1  0  0 |  0  0  1  0  0  0   0   3   3   0   0   2   0  0  0  0  0  0 | *  *  * *  *  *  * 60  *  *  *  *  * *  * * | 0 1  0  0  1 0 0
xo .. ox .. ox&#x   2  4 |  1   0   8   2  2 |  0   0   0  0   4   4   0   4   0  0  1  0 |  0  0  0  0  0  0   0   2   0   2   0   0   2  0  0  0  0  0 | *  *  * *  *  *  *  * 90  *  *  *  * *  * * | 0 0  1  0  1 0 0
xo .. .. xo3ox&#x   6  3 |  3   6  12   0  3 |  0   3   0  2   6   0   6   6   0  0  0  1 |  0  0  0  1  0  0   0   0   3   3   0   0   0  2  0  0  0  0 | *  *  * *  *  *  *  *  * 60  *  *  * *  * * | 0 0  0  1  1 0 0
.. oo3ox3xo ..&#x   4  6 |  0   6  12  12  0 |  0   0   4  0   0  12   6   0   4  4  0  0 |  0  0  0  0  1  0   0   0   0   0   4   4   0  0  0  1  0  0 | *  *  * *  *  *  *  *  *  * 30  *  * *  * * | 0 1  0  0  0 1 0
.. oo3ox .. ox&#x   1  6 |  0   0   6   6  3 |  0   0   0  0   0   6   0   3   2  0  3  0 |  0  0  0  0  0  0   0   0   0   0   2   0   3  0  0  0  1  0 | *  *  * *  *  *  *  *  *  *  * 60  * *  * * | 0 0  1  0  0 1 0
.. .. ox3xo3ox&#x   6 12 |  0  12  24  12 12 |  0   0   4  4   0  12  12  12   0  4  6  4 |  0  0  0  0  0  1   0   0   0   0   0   4   6  4  0  0  0  1 | *  *  * *  *  *  *  *  *  *  *  * 30 *  * * | 0 0  0  0  1 1 0
.o3.o3.x3.o ..      0 10 |  0   0   0  30  0 |  0   0   0  0   0   0   0   0  20 10  0  0 |  0  0  0  0  0  0   0   0   0   0   0   0   0  0  5  5  0  0 | *  *  * *  *  *  *  *  *  *  *  *  * 6  * * | 0 1  0  0  0 0 1
.o3.o3.x .. .x      0  8 |  0   0   0  12  4 |  0   0   0  0   0   0   0   0   8  0  6  0 |  0  0  0  0  0  0   0   0   0   0   0   0   0  0  2  0  4  0 | *  *  * *  *  *  *  *  *  *  *  *  * * 15 * | 0 0  1  0  0 0 1
.. .o3.x3.o3.x      0 30 |  0   0   0  60 30 |  0   0   0  0   0   0   0   0  20 20 30 10 |  0  0  0  0  0  0   0   0   0   0   0   0   0  0  0  5 10  5 | *  *  * *  *  *  *  *  *  *  *  *  * *  * 6 | 0 0  0  0  0 1 1
------------------+-------+-------------------+--------------------------------------------+--------------------------------------------------------------+---------------------------------------------+-----------------
x.3o.3o.3x.3o.     60  0 | 90 180   0   0  0 | 60 180 120 60   0   0   0   0   0  0  0  0 | 15 60 60 60 30 30   0   0   0   0   0   0   0  0  0  0  0  0 | 6 20 15 6  0  0  0  0  0  0  0  0  0 0  0 0 | 1 *  *  *  * * *
xo3oo3ox3xo ..&#x  20 10 | 30  30  60  30  0 | 20  30  20  0  60  60  30   0  20 10  0  0 |  5 10 10  0  5  0  20  30  30   0  20  20   0  0  5  5  0  0 | 1  0  0 0  5 10  0 10  0  0  5  0  0 1  0 0 | * 6  *  *  * * *
xo3oo3ox .. ox&#x   4  8 |  6   0  24  12  4 |  4   0   0  0  24  24   0  12   8  0  6  0 |  1  0  0  0  0  0   8  12   0  12   8   0  12  0  2  0  4  0 | 0  0  0 0  2  0  4  0  6  0  0  4  0 0  1 0 | * * 15  *  * * *
xo3oo .. xo3ox&#x   9  3 |  9   9  18   0  3 |  3   9   0  3  18   0   9   9   0  0  0  1 |  0  3  0  3  0  0   6   0   9   9   0   0   0  3  0  0  0  0 | 0  1  0 0  0  3  3  0  0  3  0  0  0 0  0 0 | * *  * 20  * * *
xo .. ox3xo3ox&#x  12 12 |  6  24  48  12 12 |  0  12   8  8  24  24  24  24   0  4  6  4 |  0  0  4  4  0  2   0  12  12  12   0   8  12  8  0  0  0  1 | 0  0  1 0  0  0  0  4  6  4  0  0  2 0  0 0 | * *  *  * 15 * *
.. oo3ox3xo3ox&#x  10 30 |  0  30  60  60 30 |  0   0  20 10   0  60  30  30  20 20 30 10 |  0  0  0  0  5  5   0   0   0   0  20  20  30 10  0  5 10  5 | 0  0  0 1  0  0  0  0  0  0  5 10  5 0  0 1 | * *  *  *  * 6 *
.o3.o3.x3.o3.x      0 60 |  0   0   0 180 60 |  0   0   0  0   0   0   0   0 120 60 90 20 |  0  0  0  0  0  0   0   0   0   0   0   0   0  0 30 30 60 15 | 0  0  0 0  0  0  0  0  0  0  0  0  0 6 15 6 | * *  *  *  * * 1

© 2004-2024
top of page