Acronym sripaf
Name small rhombated pentachoron antifastegium,
small rhombated pentachoron atop inverted small-rhombated-pentachoral-prism
Circumradius sqrt(5/3) = 1.290994
Lace city
in approx. ASCII-art
  s  
S   S

where:
s = x3o3x3o (srip)
S = o3x3o3x (inv. srip)
Face vector 90, 540, 930, 680, 233, 33
Confer
general polytopal classes:
antifastegia   segmentopeta   lace simplices  

Incidence matrix according to Dynkin symbol

ox ox3xo3ox3xo&#x   → height = sqrt(3/20) = 0.387298
(srip || inv. srippip)

o. o.3o.3o.3o.    | 30  * |  4  2   8  0  0   0 |  2  2  4  1   4   4   8   4   8  0  0  0  0  0  0 | 1  2 2  2  4  2  4  4  2  4  4  8  4  0  0  0  0  0  0  0 | 1  2  1  2  2  4  2  2  4  2  4 0  0 0 0 | 1  2  1 2 2 0
.o .o3.o3.o3.o    |  * 60 |  0  0   4  1  2   4 |  0  0  0  0   4   4   2   4   2  2  4  1  4  2  2 | 0  0 0  4  2  4  2  2  4  2  2  1  2  1  4  2  2  2  2  1 | 0  2  4  2  2  1  2  2  1  2  1 2  2 1 1 | 2  1  2 1 1 1
------------------+-------+---------------------+---------------------------------------------------+-----------------------------------------------------------+------------------------------------------+--------------
.. .. x. .. ..    |  2  0 | 60  *   *  *  *   * |  1  1  1  0   0   0   2   0   0  0  0  0  0  0  0 | 1  1 1  0  1  0  0  2  0  0  2  2  0  0  0  0  0  0  0  0 | 1  1  0  0  1  1  0  2  2  0  2 0  0 0 0 | 1  1  0 1 2 0
.. .. .. .. x.    |  2  0 |  * 30   *  *  *   * |  0  0  2  1   0   0   0   0   4  0  0  0  0  0  0 | 0  1 2  0  0  0  2  0  0  2  0  4  4  0  0  0  0  0  0  0 | 1  0  0  1  0  2  2  0  2  2  4 0  0 0 0 | 0  1  1 2 2 0
oo oo3oo3oo3oo&#x |  1  1 |  *  * 240  *  *   * |  0  0  0  0   1   1   1   1   1  0  0  0  0  0  0 | 0  0 0  1  1  1  1  1  1  1  1  1  1  0  0  0  0  0  0  0 | 0  1  1  1  1  1  1  1  1  1  1 0  0 0 0 | 1  1  1 1 1 0
.x .. .. .. ..    |  0  2 |  *  *   * 30  *   * |  0  0  0  0   4   0   0   0   0  2  4  0  0  0  0 | 0  0 0  4  2  4  2  0  0  0  0  0  0  1  4  2  2  0  0  0 | 0  2  4  2  2  1  2  0  0  0  0 2  2 1 0 | 2  1  2 1 0 1
.. .x .. .. ..    |  0  2 |  *  *   *  * 60   * |  0  0  0  0   0   2   0   0   0  1  0  1  2  0  0 | 0  0 0  2  0  0  0  2  2  1  0  0  0  1  2  0  0  2  1  0 | 0  2  2  1  0  0  0  2  1  1  0 2  1 0 1 | 2  1  1 0 1 1
.. .. .. .x ..    |  0  2 |  *  *   *  *  * 120 |  0  0  0  0   0   0   0   1   0  0  1  0  1  1  1 | 0  0 0  0  0  1  0  0  1  0  1  0  1  0  1  1  1  1  1  1 | 0  0  1  0  1  0  1  1  0  1  1 1  1 1 1 | 1  0  1 1 1 1
------------------+-------+---------------------+---------------------------------------------------+-----------------------------------------------------------+------------------------------------------+--------------
.. o.3x. .. ..    |  3  0 |  3  0   0  0  0   0 | 20  *  *  *   *   *   *   *   *  *  *  *  *  *  * | 1  1 0  0  0  0  0  2  0  0  0  0  0  0  0  0  0  0  0  0 | 1  1  0  0  0  0  0  2  2  0  0 0  0 0 0 | 1  1  0 0 2 0
.. .. x.3o. ..    |  3  0 |  3  0   0  0  0   0 |  * 20  *  *   *   *   *   *   *  *  *  *  *  *  * | 1  0 1  0  0  0  0  0  0  0  2  0  0  0  0  0  0  0  0  0 | 1  0  0  0  1  0  0  2  0  0  2 0  0 0 0 | 1  0  0 1 2 0
.. .. x. .. x.    |  4  0 |  2  2   0  0  0   0 |  *  * 30  *   *   *   *   *   *  *  *  *  *  *  * | 0  1 1  0  0  0  0  0  0  0  0  2  0  0  0  0  0  0  0  0 | 1  0  0  0  0  1  0  0  2  0  2 0  0 0 0 | 0  1  0 1 2 0
.. .. .. o.3x.    |  3  0 |  0  3   0  0  0   0 |  *  *  * 10   *   *   *   *   *  *  *  *  *  *  * | 0  0 2  0  0  0  0  0  0  0  0  0  4  0  0  0  0  0  0  0 | 1  0  0  0  0  0  2  0  0  2  4 0  0 0 0 | 0  0  1 2 2 0
ox .. .. .. ..&#x |  1  2 |  0  0   2  1  0   0 |  *  *  *  * 120   *   *   *   *  *  *  *  *  *  * | 0  0 0  1  1  1  1  0  0  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 0 | 1  1  1 1 0 0
.. ox .. .. ..&#x |  1  2 |  0  0   2  0  1   0 |  *  *  *  *   * 120   *   *   *  *  *  *  *  *  * | 0  0 0  1  0  0  0  1  1  1  0  0  0  0  0  0  0  0  0  0 | 0  1  1  1  0  0  0  1  1  1  0 0  0 0 0 | 1  1  1 0 1 0
.. .. xo .. ..&#x |  2  1 |  1  0   2  0  0   0 |  *  *  *  *   *   * 120   *   *  *  *  *  *  *  * | 0  0 0  0  1  0  0  1  0  0  1  1  0  0  0  0  0  0  0  0 | 0  1  0  0  1  1  0  1  1  0  1 0  0 0 0 | 1  1  0 1 1 0
.. .. .. ox ..&#x |  1  2 |  0  0   2  0  0   1 |  *  *  *  *   *   *   * 120   *  *  *  *  *  *  * | 0  0 0  0  0  1  0  0  1  0  1  0  1  0  0  0  0  0  0  0 | 0  0  1  0  1  0  1  1  0  1  1 0  0 0 0 | 1  0  1 1 1 0
.. .. .. .. xo&#x |  2  1 |  0  1   2  0  0   0 |  *  *  *  *   *   *   *   * 120  *  *  *  *  *  * | 0  0 0  0  0  0  1  0  0  1  0  1  1  0  0  0  0  0  0  0 | 0  0  0  1  0  1  1  0  1  1  1 0  0 0 0 | 0  1  1 1 1 0
.x .x .. .. ..    |  0  4 |  0  0   0  2  2   0 |  *  *  *  *   *   *   *   *   * 30  *  *  *  *  * | 0  0 0  2  0  0  0  0  0  0  0  0  0  1  2  0  0  0  0  0 | 0  2  2  1  0  0  0  0  0  0  0 2  1 0 0 | 2  1  1 0 0 1
.x .. .. .x ..    |  0  4 |  0  0   0  2  0   2 |  *  *  *  *   *   *   *   *   *  * 60  *  *  *  * | 0  0 0  0  0  1  0  0  0  0  0  0  0  0  1  1  1  0  0  0 | 0  0  1  0  1  0  1  0  0  0  0 1  1 1 0 | 1  0  1 1 0 1
.. .x3.o .. ..    |  0  3 |  0  0   0  0  3   0 |  *  *  *  *   *   *   *   *   *  *  * 20  *  *  * | 0  0 0  0  0  0  0  2  0  0  0  0  0  1  0  0  0  2  0  0 | 0  2  0  0  0  0  0  2  1  0  0 2  0 0 1 | 2  1  0 0 1 1
.. .x .. .x ..    |  0  4 |  0  0   0  0  2   2 |  *  *  *  *   *   *   *   *   *  *  *  * 60  *  * | 0  0 0  0  0  0  0  0  1  0  0  0  0  0  1  0  0  1  1  0 | 0  0  1  0  0  0  0  1  0  1  0 1  1 0 1 | 1  0  1 0 1 1
.. .. .o3.x ..    |  0  3 |  0  0   0  0  0   3 |  *  *  *  *   *   *   *   *   *  *  *  *  * 40  * | 0  0 0  0  0  0  0  0  0  0  1  0  0  0  0  1  0  1  0  1 | 0  0  0  0  1  0  0  1  0  0  1 1  0 1 1 | 1  0  0 1 1 1
.. .. .. .x3.o    |  0  3 |  0  0   0  0  0   3 |  *  *  *  *   *   *   *   *   *  *  *  *  *  * 40 | 0  0 0  0  0  0  0  0  0  0  0  0  1  0  0  0  1  0  1  1 | 0  0  0  0  0  0  1  0  0  1  1 0  1 1 1 | 0  0  1 1 1 1
------------------+-------+---------------------+---------------------------------------------------+-----------------------------------------------------------+------------------------------------------+--------------
.. o.3x.3o. ..      6  0 | 12  0   0  0  0   0 |  4  4  0  0   0   0   0   0   0  0  0  0  0  0  0 | 5  * *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 1  0  0  0  0  0  0  2  0  0  0 0  0 0 0 | 1  0  0 0 2 0
.. o.3x. .. x.      6  0 |  6  3   0  0  0   0 |  2  0  3  0   0   0   0   0   0  0  0  0  0  0  0 | * 10 *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 1  0  0  0  0  0  0  0  2  0  0 0  0 0 0 | 0  1  0 0 2 0
.. .. x.3o.3x.     12  0 | 12 12   0  0  0   0 |  0  4  6  4   0   0   0   0   0  0  0  0  0  0  0 | *  * 5  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 1  0  0  0  0  0  0  0  0  0  2 0  0 0 0 | 0  0  0 1 2 0
ox ox .. .. ..&#x   1  4 |  0  0   4  2  2   0 |  0  0  0  0   2   2   0   0   0  1  0  0  0  0  0 | *  * * 60  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 0  1  1  1  0  0  0  0  0  0  0 0  0 0 0 | 1  1  1 0 0 0
ox .. xo .. ..&#x   2  2 |  1  0   4  1  0   0 |  0  0  0  0   2   0   2   0   0  0  0  0  0  0  0 | *  * *  * 60  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 0  1  0  0  1  1  0  0  0  0  0 0  0 0 0 | 1  1  0 1 0 0
ox .. .. ox ..&#x   1  4 |  0  0   4  2  0   2 |  0  0  0  0   2   0   0   2   0  0  1  0  0  0  0 | *  * *  *  * 60  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 0  0  1  0  1  0  1  0  0  0  0 0  0 0 0 | 1  0  1 1 0 0
ox .. .. .. xo&#x   2  2 |  0  1   4  1  0   0 |  0  0  0  0   2   0   0   0   2  0  0  0  0  0  0 | *  * *  *  *  * 60  *  *  *  *  *  *  *  *  *  *  *  *  * | 0  0  0  1  0  1  1  0  0  0  0 0  0 0 0 | 0  1  1 1 0 0
.. ox3xo .. ..&#x   3  3 |  3  0   6  0  3   0 |  1  0  0  0   0   3   3   0   0  0  0  1  0  0  0 | *  * *  *  *  *  * 40  *  *  *  *  *  *  *  *  *  *  *  * | 0  1  0  0  0  0  0  1  1  0  0 0  0 0 0 | 1  1  0 0 1 0
.. ox .. ox ..&#x   1  4 |  0  0   4  0  2   2 |  0  0  0  0   0   2   0   2   0  0  0  0  1  0  0 | *  * *  *  *  *  *  * 60  *  *  *  *  *  *  *  *  *  *  * | 0  0  1  0  0  0  0  1  0  1  0 0  0 0 0 | 1  0  1 0 1 0
.. ox .. .. xo&#x   2  2 |  0  1   4  0  1   0 |  0  0  0  0   0   2   0   0   2  0  0  0  0  0  0 | *  * *  *  *  *  *  *  * 60  *  *  *  *  *  *  *  *  *  * | 0  0  0  1  0  0  0  0  1  1  0 0  0 0 0 | 0  1  1 0 1 0
.. .. xo3ox ..&#x   3  3 |  3  0   6  0  0   3 |  0  1  0  0   0   0   3   3   0  0  0  0  0  1  0 | *  * *  *  *  *  *  *  *  * 40  *  *  *  *  *  *  *  *  * | 0  0  0  0  1  0  0  1  0  0  1 0  0 0 0 | 1  0  0 1 1 0
.. .. xo .. xo&#x   4  1 |  2  2   4  0  0   0 |  0  0  1  0   0   0   2   0   2  0  0  0  0  0  0 | *  * *  *  *  *  *  *  *  *  * 60  *  *  *  *  *  *  *  * | 0  0  0  0  0  1  0  0  1  0  1 0  0 0 0 | 0  1  0 1 1 0
.. .. .. ox3xo&#x   3  3 |  0  3   6  0  0   3 |  0  0  0  1   0   0   0   3   3  0  0  0  0  0  1 | *  * *  *  *  *  *  *  *  *  *  * 40  *  *  *  *  *  *  * | 0  0  0  0  0  0  1  0  0  1  1 0  0 0 0 | 0  0  1 1 1 0
.x .x3.o .. ..      0  6 |  0  0   0  3  6   0 |  0  0  0  0   0   0   0   0   0  3  0  2  0  0  0 | *  * *  *  *  *  *  *  *  *  *  *  * 10  *  *  *  *  *  * | 0  2  0  0  0  0  0  0  0  0  0 2  0 0 0 | 2  1  0 0 0 1
.x .x .. .x ..      0  8 |  0  0   0  4  4   4 |  0  0  0  0   0   0   0   0   0  2  2  0  2  0  0 | *  * *  *  *  *  *  *  *  *  *  *  *  * 30  *  *  *  *  * | 0  0  1  0  0  0  0  0  0  0  0 1  1 0 0 | 1  0  1 0 0 1
.x .. .o3.x ..      0  6 |  0  0   0  3  0   6 |  0  0  0  0   0   0   0   0   0  0  3  0  0  2  0 | *  * *  *  *  *  *  *  *  *  *  *  *  *  * 20  *  *  *  * | 0  0  0  0  1  0  0  0  0  0  0 1  0 1 0 | 1  0  0 1 0 1
.x .. .. .x3.o      0  6 |  0  0   0  3  0   6 |  0  0  0  0   0   0   0   0   0  0  3  0  0  0  2 | *  * *  *  *  *  *  *  *  *  *  *  *  *  *  * 20  *  *  * | 0  0  0  0  0  0  1  0  0  0  0 0  1 1 0 | 0  0  1 1 0 1
.. .x3.o3.x ..      0 12 |  0  0   0  0 12  12 |  0  0  0  0   0   0   0   0   0  0  0  4  6  4  0 | *  * *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 10  *  * | 0  0  0  0  0  0  0  1  0  0  0 1  0 0 1 | 1  0  0 0 1 1
.. .x .. .x3.o      0  6 |  0  0   0  0  3   6 |  0  0  0  0   0   0   0   0   0  0  0  0  3  0  2 | *  * *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 20  * | 0  0  0  0  0  0  0  0  0  1  0 0  1 0 1 | 0  0  1 0 1 1
.. .. .o3.x3.o      0  6 |  0  0   0  0  0  12 |  0  0  0  0   0   0   0   0   0  0  0  0  0  4  4 | *  * *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 10 | 0  0  0  0  0  0  0  0  0  0  1 0  0 1 1 | 0  0  0 1 1 1
------------------+-------+---------------------+---------------------------------------------------+-----------------------------------------------------------+------------------------------------------+--------------
.. o.3x.3o.3x.     30  0 | 60 30   0  0  0   0 | 20 20 30 10   0   0   0   0   0  0  0  0  0  0  0 | 5 10 5  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 | 1  *  *  *  *  *  *  *  *  *  * *  * * * | 0  0  0 0 2 0
ox ox3xo .. ..&#x   3  6 |  3  0  12  3  6   0 |  1  0  0  0   6   6   6   0   0  3  0  2  0  0  0 | 0  0 0  3  3  0  0  2  0  0  0  0  0  1  0  0  0  0  0  0 | * 20  *  *  *  *  *  *  *  *  * *  * * * | 1  1  0 0 0 0
ox ox .. ox ..&#x   1  8 |  0  0   8  4  4   4 |  0  0  0  0   4   4   0   4   0  2  2  0  2  0  0 | 0  0 0  2  0  2  0  0  2  0  0  0  0  0  1  0  0  0  0  0 | *  * 30  *  *  *  *  *  *  *  * *  * * * | 1  0  1 0 0 0
ox ox .. .. xo&#x   2  4 |  0  1   8  2  2   0 |  0  0  0  0   4   4   0   0   4  1  0  0  0  0  0 | 0  0 0  2  0  0  2  0  0  2  0  0  0  0  0  0  0  0  0  0 | *  *  * 30  *  *  *  *  *  *  * *  * * * | 0  1  1 0 0 0
ox .. xo3ox ..&#x   3  6 |  3  0  12  3  0   6 |  0  1  0  0   6   0   6   6   0  0  3  0  0  2  0 | 0  0 0  0  3  3  0  0  0  0  2  0  0  0  0  1  0  0  0  0 | *  *  *  * 20  *  *  *  *  *  * *  * * * | 1  0  0 1 0 0
ox .. xo .. xo&#x   4  2 |  2  2   8  1  0   0 |  0  0  1  0   4   0   4   0   4  0  0  0  0  0  0 | 0  0 0  0  2  0  2  0  0  0  0  2  0  0  0  0  0  0  0  0 | *  *  *  *  * 30  *  *  *  *  * *  * * * | 0  1  0 1 0 0
ox .. .. ox3xo&#x   3  6 |  0  3  12  3  0   6 |  0  0  0  1   6   0   0   6   6  0  3  0  0  0  2 | 0  0 0  0  0  3  3  0  0  0  0  0  2  0  0  0  1  0  0  0 | *  *  *  *  *  * 20  *  *  *  * *  * * * | 0  0  1 1 0 0
.. ox3xo3ox ..&#x   6 12 | 12  0  24  0 12  12 |  4  4  0  0   0  12  12  12   0  0  0  4  6  4  0 | 1  0 0  0  0  0  0  4  6  0  4  0  0  0  0  0  0  1  0  0 | *  *  *  *  *  *  * 10  *  *  * *  * * * | 1  0  0 0 1 0
.. ox3xo .. xo&#x   6  3 |  6  3  12  0  3   0 |  2  0  3  0   0   6   6   0   6  0  0  1  0  0  0 | 0  1 0  0  0  0  0  2  0  3  0  3  0  0  0  0  0  0  0  0 | *  *  *  *  *  *  *  * 20  *  * *  * * * | 0  1  0 0 1 0
.. ox .. ox3xo&#x   3  6 |  0  3  12  0  3   6 |  0  0  0  1   0   6   0   6   6  0  0  0  3  0  2 | 0  0 0  0  0  0  0  0  3  3  0  0  2  0  0  0  0  0  1  0 | *  *  *  *  *  *  *  *  * 20  * *  * * * | 0  0  1 0 1 0
.. .. xo3ox3xo&#x  12  6 | 12 12  24  0  0  12 |  0  4  6  4   0   0  12  12  12  0  0  0  0  4  4 | 0  0 1  0  0  0  0  0  0  0  4  6  4  0  0  0  0  0  0  1 | *  *  *  *  *  *  *  *  *  * 10 *  * * * | 0  0  0 1 1 0
.x .x3.o3.x ..      0 24 |  0  0   0 12 24  24 |  0  0  0  0   0   0   0   0   0 12 12  8 12  8  0 | 0  0 0  0  0  0  0  0  0  0  0  0  0  4  6  4  0  2  0  0 | *  *  *  *  *  *  *  *  *  *  * 5  * * * | 1  0  0 0 0 1
.x .x .. .x3.o      0 12 |  0  0   0  6  6  12 |  0  0  0  0   0   0   0   0   0  3  6  0  6  0  4 | 0  0 0  0  0  0  0  0  0  0  0  0  0  0  3  0  2  0  2  0 | *  *  *  *  *  *  *  *  *  *  * * 10 * * | 0  0  1 0 0 1
.x .. .o3.x3.o      0 12 |  0  0   0  6  0  24 |  0  0  0  0   0   0   0   0   0  0 12  0  0  8  8 | 0  0 0  0  0  0  0  0  0  0  0  0  0  0  0  4  4  0  0  2 | *  *  *  *  *  *  *  *  *  *  * *  * 5 * | 0  0  0 1 0 1
.. .x3.o3.x3.o      0 30 |  0  0   0  0 30  60 |  0  0  0  0   0   0   0   0   0  0  0 10 30 20 20 | 0  0 0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  5 10  5 | *  *  *  *  *  *  *  *  *  *  * *  * * 2 | 0  0  0 0 1 1
------------------+-------+---------------------+---------------------------------------------------+-----------------------------------------------------------+------------------------------------------+--------------
ox ox3xo3ox ..&#x   6 24 | 12  0  48 12 24  24 |  4  4  0  0  24  24  24  24   0 12 12  8 12  8  0 | 1  0 0 12 12 12  0  8 12  0  8  0  0  4  6  4  0  2  0  0 | 0  4  6  0  4  0  0  2  0  0  0 1  0 0 0 | 5  *  * * * *
ox ox3xo .. xo&#x   6  6 |  6  3  24  3  6   0 |  2  0  3  0  12  12  12   0  12  3  0  2  0  0  0 | 0  1 0  6  6  0  6  4  0  6  0  6  0  1  0  0  0  0  0  0 | 0  2  0  3  0  3  0  0  2  0  0 0  0 0 0 | * 10  * * * *
ox ox .. ox3xo&#x   3 12 |  0  3  24  6  6  12 |  0  0  0  1  12  12   0  12  12  3  6  0  6  0  4 | 0  0 0  6  0  6  6  0  6  6  0  0  4  0  3  0  2  0  2  0 | 0  0  3  3  0  0  2  0  0  2  0 0  1 0 0 | *  * 10 * * *
ox .. xo3ox3xo&#x  12 12 | 12 12  48  6  0  24 |  0  4  6  4  24   0  24  24  24  0 12  0  0  8  8 | 0  0 1  0 12 12 12  0  0  0  8 12  8  0  0  4  4  0  0  2 | 0  0  0  0  4  6  4  0  0  0  2 0  0 1 0 | *  *  * 5 * *
.. ox3xo3ox3xo&#x  30 30 | 60 30 120  0 30  60 | 20 20 30 10   0  60  60  60  60  0  0 10 30 20 20 | 5 10 5  0  0  0  0 20 30 30 20 30 20  0  0  0  0  5 10  5 | 1  0  0  0  0  0  0  5 10 10  5 0  0 0 1 | *  *  * * 2 *
.x .x3.o3.x3.o      0 60 |  0  0   0 30 60 120 |  0  0  0  0   0   0   0   0   0 30 60 20 60 40 40 | 0  0 0  0  0  0  0  0  0  0  0  0  0 10 30 20 20 10 20 10 | 0  0  0  0  0  0  0  0  0  0  0 5 10 5 2 | *  *  * * * 1

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