Acronym sripalprip
Name srip atop inverted prip,
srip-first cap of sart
Circumradius sqrt(3) = 1.732051
Lace city
in approx. ASCII-art
     x3o3x    x3x3o    o3x3o    		-- x3o3x3o (srip)
                                
                                
                                
x3x3o    x3x3x    u3o3x    x3o3x		-- x3o3x3x (inv prip)
Confer
uniform relative:
sart  
related segmentotera:
cotut totric  
general polytopal classes:
segmentotera   lace simplices  

Incidence matrix according to Dynkin symbol

ox3xo3ox3xx&#x   → height = sqrt(2/5) = 0.632456
(srip || inv prip)

o.3o.3o.3o.    | 30  * |  4  2   2  0  0  0 |  2  2  4  1  2  4  2  4  0  0  0  0  0 | 1  2 2  2  1  2  2  4  2 0  0  0 0 | 1 1  2  1 2 0
.o3.o3.o3.o    |  * 60 |  0  0   2  2  2  1 |  0  0  0  0  2  1  2  2  1  2  2  1  2 | 0  0 0  1  2  2  1  1  2 1  1  2 1 | 0 1  1  2 1 1
---------------+-------+--------------------+----------------------------------------+------------------------------------+--------------
.. x. .. ..    |  2  0 | 60  *   *  *  *  * |  1  1  1  0  0  1  0  0  0  0  0  0  0 | 1  1 1  1  0  0  1  1  0 0  0  0 0 | 1 1  1  0 1 0
.. .. .. x.    |  2  0 |  * 30   *  *  *  * |  0  0  2  1  0  0  0  2  0  0  0  0  0 | 0  1 2  0  0  1  0  2  2 0  0  0 0 | 1 0  1  1 2 0
oo3oo3oo3oo&#x |  1  1 |  *  * 120  *  *  * |  0  0  0  0  1  1  1  1  0  0  0  0  0 | 0  0 0  1  1  1  1  1  1 0  0  0 0 | 0 1  1  1 1 0
.x .. .. ..    |  0  2 |  *  *   * 60  *  * |  0  0  0  0  1  0  0  0  1  1  1  0  0 | 0  0 0  1  1  1  0  0  0 1  1  1 0 | 0 1  1  1 0 1
.. .. .x ..    |  0  2 |  *  *   *  * 60  * |  0  0  0  0  0  0  1  0  0  1  0  1  1 | 0  0 0  0  1  0  1  0  1 1  0  1 1 | 0 1  0  1 1 1
.. .. .. .x    |  0  2 |  *  *   *  *  * 30 |  0  0  0  0  0  0  0  2  0  0  2  0  2 | 0  0 0  0  0  2  0  1  2 0  1  2 1 | 0 0  1  2 1 1
---------------+-------+--------------------+----------------------------------------+------------------------------------+--------------
o.3x. .. ..    |  3  0 |  3  0   0  0  0  0 | 20  *  *  *  *  *  *  *  *  *  *  *  * | 1  1 0  1  0  0  0  0  0 0  0  0 0 | 1 1  1  0 0 0
.. x.3o. ..    |  3  0 |  3  0   0  0  0  0 |  * 20  *  *  *  *  *  *  *  *  *  *  * | 1  0 1  0  0  0  1  0  0 0  0  0 0 | 1 1  0  0 1 0
.. x. .. x.    |  4  0 |  2  2   0  0  0  0 |  *  * 30  *  *  *  *  *  *  *  *  *  * | 0  1 1  0  0  0  0  1  0 0  0  0 0 | 1 0  1  0 1 0
.. .. o.3x.    |  3  0 |  0  3   0  0  0  0 |  *  *  * 10  *  *  *  *  *  *  *  *  * | 0  0 2  0  0  0  0  0  2 0  0  0 0 | 1 0  0  1 2 0
ox .. .. ..&#x |  1  2 |  0  0   2  1  0  0 |  *  *  *  * 60  *  *  *  *  *  *  *  * | 0  0 0  1  1  1  0  0  0 0  0  0 0 | 0 1  1  1 0 0
.. xo .. ..&#x |  2  1 |  1  0   2  0  0  0 |  *  *  *  *  * 60  *  *  *  *  *  *  * | 0  0 0  1  0  0  1  1  0 0  0  0 0 | 0 1  1  0 1 0
.. .. ox ..&#x |  1  2 |  0  0   2  0  1  0 |  *  *  *  *  *  * 60  *  *  *  *  *  * | 0  0 0  0  1  0  1  0  1 0  0  0 0 | 0 1  0  1 1 0
.. .. .. xx&#x |  2  2 |  0  1   2  0  0  1 |  *  *  *  *  *  *  * 60  *  *  *  *  * | 0  0 0  0  0  1  0  1  1 0  0  0 0 | 0 0  1  1 1 0
.x3.o .. ..    |  0  3 |  0  0   0  3  0  0 |  *  *  *  *  *  *  *  * 20  *  *  *  * | 0  0 0  1  0  0  0  0  0 1  1  0 0 | 0 1  1  0 0 1
.x .. .x ..    |  0  4 |  0  0   0  2  2  0 |  *  *  *  *  *  *  *  *  * 30  *  *  * | 0  0 0  0  1  0  0  0  0 1  0  1 0 | 0 1  0  1 0 1
.x .. .. .x    |  0  4 |  0  0   0  2  0  2 |  *  *  *  *  *  *  *  *  *  * 30  *  * | 0  0 0  0  0  1  0  0  0 0  1  1 0 | 0 0  1  1 0 1
.. .o3.x ..    |  0  3 |  0  0   0  0  3  0 |  *  *  *  *  *  *  *  *  *  *  * 20  * | 0  0 0  0  0  0  1  0  0 1  0  0 1 | 0 1  0  0 1 1
.. .. .x3.x    |  0  6 |  0  0   0  0  3  3 |  *  *  *  *  *  *  *  *  *  *  *  * 20 | 0  0 0  0  0  0  0  0  1 0  0  1 1 | 0 0  0  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 | 5  * *  *  *  *  *  *  * *  *  * * | 1 1  0  0 0 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 | * 10 *  *  *  *  *  *  * *  *  * * | 1 0  1  0 0 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 | *  * 5  *  *  *  *  *  * *  *  * * | 1 0  0  0 1 0
ox3xo .. ..&#x   3  3 |  3  0   6  3  0  0 |  1  0  0  0  3  3  0  0  1  0  0  0  0 | *  * * 20  *  *  *  *  * *  *  * * | 0 1  1  0 0 0
ox .. ox ..&#x   1  4 |  0  0   4  2  2  0 |  0  0  0  0  2  0  2  0  0  1  0  0  0 | *  * *  * 30  *  *  *  * *  *  * * | 0 1  0  1 0 0
ox .. .. xx&#x   2  4 |  0  1   4  2  0  2 |  0  0  0  0  2  0  0  2  0  0  1  0  0 | *  * *  *  * 30  *  *  * *  *  * * | 0 0  1  1 0 0
.. xo3ox ..&#x   3  3 |  3  0   6  0  3  0 |  0  1  0  0  0  3  3  0  0  0  0  1  0 | *  * *  *  *  * 20  *  * *  *  * * | 0 1  0  0 1 0
.. xo .. xx&#x   4  2 |  2  2   4  0  0  1 |  0  0  1  0  0  2  0  2  0  0  0  0  0 | *  * *  *  *  *  * 30  * *  *  * * | 0 0  1  0 1 0
.. .. ox3xx&#x   3  6 |  0  3   6  0  3  3 |  0  0  0  1  0  0  3  3  0  0  0  0  1 | *  * *  *  *  *  *  * 20 *  *  * * | 0 0  0  1 1 0
.x3.o3.x ..      0 12 |  0  0   0 12 12  0 |  0  0  0  0  0  0  0  0  4  6  0  4  0 | *  * *  *  *  *  *  *  * 5  *  * * | 0 1  0  0 0 1
.x3.o .. .x      0  6 |  0  0   0  6  0  3 |  0  0  0  0  0  0  0  0  2  0  3  0  0 | *  * *  *  *  *  *  *  * * 10  * * | 0 0  1  0 0 1
.x .. .x3.x      0 12 |  0  0   0  6  6  6 |  0  0  0  0  0  0  0  0  0  3  3  0  2 | *  * *  *  *  *  *  *  * *  * 10 * | 0 0  0  1 0 1
.. .o3.x3.x      0 12 |  0  0   0  0 12  6 |  0  0  0  0  0  0  0  0  0  0  0  4  4 | *  * *  *  *  *  *  *  * *  *  * 5 | 0 0  0  0 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 | 5 10 5  0  0  0  0  0  0 0  0  0 0 | 1 *  *  * * *
ox3xo3ox ..&#x   6 12 | 12  0  24 12 12  0 |  4  4  0  0 12 12 12  0  4  6  0  4  0 | 1  0 0  4  6  0  4  0  0 1  0  0 0 | * 5  *  * * *
ox3xo .. xx&#x   6  6 |  6  3  12  6  0  3 |  2  0  3  0  6  6  0  6  2  0  3  0  0 | 0  1 0  2  0  3  0  3  0 0  1  0 0 | * * 10  * * *
ox .. ox3xx&#x   3 12 |  0  3  12  6  6  6 |  0  0  0  1  6  0  6  6  0  3  3  0  2 | 0  0 0  0  3  3  0  0  2 0  0  1 0 | * *  * 10 * *
.. xo3ox3xx&#x  12 12 | 12 12  24  0 12  6 |  0  4  6  4  0 12 12 12  0  0  0  4  4 | 0  0 1  0  0  0  4  6  4 0  0  0 1 | * *  *  * 5 *
.x3.o3.x3.x      0 60 |  0  0   0 60 60 30 |  0  0  0  0  0  0  0  0 20 30 30 20 20 | 0  0 0  0  0  0  0  0  0 5 10 10 5 | * *  *  * * 1

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