Acronym rapatip
Name rap atop tip,
rap-first cap of sarx
Circumradius sqrt(3/5) = 0.774597
Face vector 30, 90, 100, 50, 12
Confer
uniform relative:
sarx  
general polytopal classes:
segmentotera   lace simplices  

Incidence matrix according to Dynkin symbol

oo3oo3xx3ox&#x   → height = sqrt(3/5) = 0.774597
(rap || tip)

o.3o.3o.3o.    | 10  * |  6  2  0  0 |  6  3  6  1  0  0 | 2 3  6  3 0 0 | 1 2 3 0
.o3.o3.o3.o    |  * 20 |  0  1  3  1 |  0  0  3  1  3  3 | 0 0  3  3 1 3 | 0 1 3 1
---------------+-------+-------------+-------------------+---------------+--------
.. .. x. ..    |  2  0 | 30  *  *  * |  2  1  1  0  0  0 | 1 2  2  1 0 0 | 1 1 2 0
oo3oo3oo3oo&#x |  1  1 |  * 20  *  * |  0  0  3  1  0  0 | 0 0  3  3 0 0 | 0 1 3 0
.. .. .x ..    |  0  2 |  *  * 30  * |  0  0  1  0  2  1 | 0 0  2  1 1 2 | 0 1 2 1
.. .. .. .x    |  0  2 |  *  *  * 10 |  0  0  0  1  0  3 | 0 0  0  3 0 3 | 0 0 3 1
---------------+-------+-------------+-------------------+---------------+--------
.. o.3x. ..    |  3  0 |  3  0  0  0 | 20  *  *  *  *  * | 1 1  1  0 0 0 | 1 1 1 0
.. .. x.3o.    |  3  0 |  3  0  0  0 |  * 10  *  *  *  * | 0 2  0  1 0 0 | 1 0 2 0
.. .. xx ..&#x |  2  2 |  1  2  1  0 |  *  * 30  *  *  * | 0 0  2  1 0 0 | 0 1 2 0
.. .. .. ox&#x |  1  2 |  0  2  0  1 |  *  *  * 10  *  * | 0 0  0  3 0 0 | 0 0 3 0
.. .o3.x ..    |  0  3 |  0  0  3  0 |  *  *  *  * 20  * | 0 0  1  0 1 1 | 0 1 1 1
.. .. .x3.x    |  0  6 |  0  0  3  3 |  *  *  *  *  * 10 | 0 0  0  1 0 2 | 0 0 2 1
---------------+-------+-------------+-------------------+---------------+--------
o.3o.3x. ..      4  0 |  6  0  0  0 |  4  0  0  0  0  0 | 5 *  *  * * * | 1 1 0 0
.. o.3x.3o.      6  0 | 12  0  0  0 |  4  4  0  0  0  0 | * 5  *  * * * | 1 0 1 0
.. oo3xx ..&#x   3  3 |  3  3  3  0 |  1  0  3  0  1  0 | * * 20  * * * | 0 1 1 0
.. .. xx3ox&#x   3  6 |  3  6  3  3 |  0  1  3  3  0  1 | * *  * 10 * * | 0 0 2 0
.o3.o3.x ..      0  4 |  0  0  6  0 |  0  0  0  0  4  0 | * *  *  * 5 * | 0 1 0 1
.. .o3.x3.x      0 12 |  0  0 12  6 |  0  0  0  0  4  4 | * *  *  * * 5 | 0 0 1 1
---------------+-------+-------------+-------------------+---------------+--------
o.3o.3x.3o.     10  0 | 30  0  0  0 | 20 10  0  0  0  0 | 5 5  0  0 0 0 | 1 * * *
oo3oo3xx ..&#x   4  4 |  6  4  6  0 |  4  0  6  0  4  0 | 1 0  4  0 1 0 | * 5 * *
.. oo3xx3ox&#x   6 12 | 12 12 12  6 |  4  4 12  6  4  4 | 0 1  4  4 0 1 | * * 5 *
.o3.o3.x3.x      0 20 |  0  0 30 10 |  0  0  0  0 20 10 | 0 0  0  0 5 5 | * * * 1

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