Acronym rapa penp
Name rap atop penp,
rap-first cap of ril
Circumradius sqrt(5/7) = 0.845154
Lace city
in approx. ASCII-art
        x3o3o3o  
                 
                 
                 
                 
x3o3o3o   o3x3o3o
Face vector 20, 95, 160, 130, 58, 13
Confer
uniform relative:
ril  
related segmentopeta:
penppy  
general polytopal classes:
segmentopeta   lace simplices  

Incidence matrix according to Dynkin symbol

xo3ox3oo3oo xo&#x   → height = sqrt(7/20) = 0.591608
(penp || rap)

o.3o.3o.3o. o.    | 10  * |  4 1  4  0 |  6  4  4  6  4  0  0 |  4  6  6  4  4  6 0 0 | 1 4  4  6  1  4 0 | 1 1 4 1
.o3.o3.o3.o .o    |  * 10   0 0  4  6 |  0  0  2 12  2  3  6 |  0  0  6  1 12  6 3 2 | 0 0  6  3  4  6 1 | 0 2 3 2
------------------+-------+------------+----------------------+-----------------------+-------------------+--------
x. .. .. .. ..    |  2  0 | 20 *  *  * |  3  1  1  0  0  0  0 |  3  3  3  1  0  0 0 0 | 1 3  3  3  0  0 0 | 1 1 3 0
.. .. .. .. x.    |  2  0 |  * 5  *  * |  0  4  0  0  4  0  0 |  0  6  0  4  0  6 0 0 | 0 4  0  6  0  4 0 | 1 0 4 1
oo3oo3oo3oo oo&#x |  1  1 |  * * 40  * |  0  0  1  3  1  0  0 |  0  0  3  1  3  3 0 0 | 0 0  3  3  1  3 0 | 0 1 3 1
.. .x .. .. ..    |  0  2 |  * *  * 30 |  0  0  0  2  0  1  2 |  0  0  2  0  4  1 2 1 | 0 0  4  1  2  2 1 | 0 2 2 1
------------------+-------+------------+----------------------+-----------------------+-------------------+--------
x.3o. .. .. ..    |  3  0 |  3 0  0  0 | 20  *  *  *  *  *  * |  2  1  1  0  0  0 0 0 | 1 2  2  1  0  0 0 | 1 1 2 0
x. .. .. .. x.    |  4  0 |  2 2  0  0 |  * 10  *  *  *  *  * |  0  3  0  1  0  0 0 0 | 0 3  0  3  0  0 0 | 1 0 3 0
xo .. .. .. ..&#x |  2  1 |  1 0  2  0 |  *  * 20  *  *  *  *   0  0  3  1  0  0 0 0 | 0 0  3  3  0  0 0 | 0 1 3 0
.. ox .. .. ..&#x |  1  2 |  0 0  2  1 |  *  *  * 60  *  *  * |  0  0  1  0  2  1 0 0 | 0 0  2  1  1  2 0 | 0 1 2 1
.. .. .. .. xo&#x |  2  1 |  0 1  2  0 |  *  *  *  * 20  *  * |  0  0  0  1  0  3 0 0 | 0 0  0  3  0  3 0 | 0 0 3 1
.o3.x .. .. ..    |  0  3 |  0 0  0  3 |  *  *  *  *  * 10  *   0  0  2  0  0  0 2 0 | 0 0  4  1  0  0 1 | 0 2 2 0
.. .x3.o .. ..    |  0  3 |  0 0  0  3 |  *  *  *  *  *  * 20 |  0  0  0  0  2  0 1 1 | 0 0  2  0  2  1 1 | 0 2 1 1
------------------+-------+------------+----------------------+-----------------------+-------------------+--------
x.3o.3o. .. ..      4  0 |  6 0  0  0 |  4  0  0  0  0  0  0 | 10  *  *  *  *  * * * | 1 1  1  0  0  0 0 | 1 1 1 0
x.3o. .. .. x.      6  0 |  6 3  0  0 |  2  3  0  0  0  0  0 |  * 10  *  *  *  * * * | 0 2  0  1  0  0 0 | 1 0 2 0
xo3ox .. .. ..&#x   3  3 |  3 0  6  3 |  1  0  3  3  0  1  0 |  *  * 20  *  *  * * * | 0 0  2  1  0  0 0 | 0 1 2 0
xo .. .. .. xo&#x   4  1 |  2 2  4  0 |  0  1  2  0  2  0  0 |  *  *  * 10  *  * * * | 0 0  0  3  0  0 0 | 0 0 3 0
.. ox3oo .. ..&#x   1  3 |  0 0  3  3 |  0  0  0  3  0  0  1 |  *  *  *  * 40  * * * | 0 0  1  0  1  1 0 | 0 1 1 1
.. ox .. .. xo&#x   2  2 |  0 1  4  1 |  0  0  0  2  2  0  0 |  *  *  *  *  * 30 * * | 0 0  0  1  0  2 0 | 0 0 2 1
.o3.x3.o .. ..      0  6 |  0 0  0 12 |  0  0  0  0  0  4  4 |  *  *  *  *  *  * 5 * | 0 0  2  0  0  0 1 | 0 2 1 0
.. .x3.o3.o ..      0  4 |  0 0  0  6 |  0  0  0  0  0  0  4 |  *  *  *  *  *  * * 5 | 0 0  0  0  2  0 1 | 0 2 0 1
------------------+-------+------------+----------------------+-----------------------+-------------------+--------
x.3o.3o.3o. ..      5  0 | 10 0  0  0 | 10  0  0  0  0  0  0 |  5  0  0  0  0  0 0 0 | 2 *  *  *  *  * * | 1 1 0 0
x.3o.3o. .. x.      8  0 | 12 4  0  0 |  8  6  0  0  0  0  0 |  2  4  0  0  0  0 0 0 | * 5  *  *  *  * * | 1 0 1 0
xo3ox3oo .. ..&#x   4  6 |  6 0 12 12 |  4  0  6 12  0  4  4 |  1  0  4  0  4  0 1 0 | * * 10  *  *  * * | 0 1 1 0
xo3ox .. .. xo&#x   6  3 |  6 3 12  3 |  2  3  6  6  6  1  0 |  0  1  2  3  0  3 0 0 | * *  * 10  *  * * | 0 0 2 0
.. ox3oo3oo ..&#x   1  4 |  0 0  4  6 |  0  0  0  6  0  0  4 |  0  0  0  0  4  0 0 1 | * *  *  * 10  * * | 0 1 0 1
.. ox3oo .. xo&#x   2  3 |  0 1  6  3 |  0  0  0  6  3  0  1 |  0  0  0  0  2  3 0 0 | * *  *  *  * 20 * | 0 0 1 1
.o3.x3.o3.o ..      0 10 |  0 0  0 30 |  0  0  0  0  0 10 20 |  0  0  0  0  0  0 5 5 | * *  *  *  *  * 1 | 0 2 0 0
------------------+-------+------------+----------------------+-----------------------+-------------------+--------
x.3o.3o.3o. x.     10  0 | 20 5  0  0 | 20 10  0  0  0  0  0 | 10 10  0  0  0  0 0 0 | 2 5  0  0  0  0 0 | 1 * * *
xo3ox3oo3oo ..&#x   5 10 | 10 0 20 30 | 10  0 10 30  0 10 20 |  5  0 10  0 20  0 5 5 | 1 0  5  0  5  0 1 | * 2 * *
xo3ox3oo .. xo&#x   8  6 | 12 4 24 12 |  8  6 12 24 12  4  4 |  2  4  8  6  8 12 1 0 | 0 1  2  4  0  4 0 | * * 5 *
.. ox3oo3oo xo&#x   2  4 |  0 1  8  6 |  0  0  0 12  4  0  4 |  0  0  0  0  8  6 0 1 | 0 0  0  0  2  4 0 | * * * 5

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