Acronym rappyp
Name rectified-pentachoron-pyramid prism
Circumradius sqrt(7/8) = 0.935414
Lace city
in approx. ASCII-art
o   o         o = point
R   R         R = rap
Face vector 22, 91, 160, 140, 62, 13
Confer
uniform relative:
hinnip  
segmentopeta:
penpal rappip  
general polytopal classes:
segmentopeta   lace simplices  

Incidence matrix according to Dynkin symbol

xx oo3ox3oo3oo&#x   → height = sqrt(2/5) = 0.632456
(line || rappip)

o. o.3o.3o.3o.    | 2  * | 1 10  0  0 | 10 30  0  0  0 | 30 10 20  0  0  0  0 | 10 20  5  5 0 0 0 | 5 5 1 0
.o .o3.o3.o3.o    | * 20 | 0  1  1  6 |  1  6  6  3  6 |  6  3  6  3  6  3  2 |  3  6  3  2 3 2 1 | 3 2 1 1
------------------+------+------------+----------------+----------------------+-------------------+--------
x. .. .. .. ..    | 2  0 | 1  *  *  *  10  0  0  0  0 | 30  0  0  0  0  0  0 | 10 20  0  0 0 0 0 | 5 5 0 0
oo oo3oo3oo3oo&#x | 1  1 | * 20  *  * |  1  6  0  0  0 |  6  3  6  0  0  0  0 |  3  6  3  2 0 0 0 | 3 2 1 0
.x .. .. .. ..    | 0  2 | *  * 10  * |  1  0  6  0  0 |  6  0  0  3  6  0  0 |  3  6  0  0 3 2 0 | 3 2 0 1
.. .. .x .. ..    | 0  2 | *  *  * 60 |  0  1  1  1  2 |  1  1  2  1  2  2  1 |  1  2  2  1 2 1 1 | 2 1 1 1
------------------+------+------------+----------------+----------------------+-------------------+--------
xx .. .. .. ..&#x | 2  2 | 1  2  1  0 | 10  *  *  *  *   6  0  0  0  0  0  0 |  3  6  0  0 0 0 0 | 3 2 0 0
.. .. ox .. ..&#x | 1  2 | 0  2  0  1 |  * 60  *  *  * |  1  1  2  0  0  0  0 |  1  2  2  1 0 0 0 | 2 1 1 0
.x .. .x .. ..    | 0  4 | 0  0  2  2 |  *  * 30  *  * |  1  0  0  1  2  0  0 |  1  2  0  0 2 1 0 | 2 1 0 1
.. .o3.x .. ..    | 0  3 | 0  0  0  3 |  *  *  * 20  * |  0  1  0  1  0  2  0 |  1  0  2  0 2 0 1 | 2 0 1 1
.. .. .x3.o ..    | 0  3 | 0  0  0  3 |  *  *  *  * 40 |  0  0  1  0  1  1  1 |  0  1  1  1 1 1 1 | 1 1 1 1
------------------+------+------------+----------------+----------------------+-------------------+--------
xx .. ox .. ..&#x  2  4 | 1  4  2  2 |  2  2  1  0  0 | 30  *  *  *  *  *  * |  1  2  0  0 0 0 0 | 2 1 0 0
.. oo3ox .. ..&#x  1  3 | 0  3  0  3 |  0  3  0  1  0 |  * 20  *  *  *  *  * |  1  0  2  0 0 0 0 | 2 0 1 0
.. .. ox3oo ..&#x  1  3 | 0  3  0  3 |  0  3  0  0  1 |  *  * 40  *  *  *  * |  0  1  1  1 0 0 0 | 1 1 1 0
.x .o3.x .. ..     0  6 | 0  0  3  6 |  0  0  3  2  0 |  *  *  * 10  *  *  * |  1  0  0  0 2 0 0 | 2 0 0 1
.x .. x.3o. ..     0  6 | 0  0  3  6 |  0  0  3  0  2 |  *  *  *  * 20  *  * |  0  1  0  0 1 1 0 | 1 1 0 1
.. .o3.x3.o ..     0  6 | 0  0  0 12 |  0  0  0  4  4 |  *  *  *  *  * 10  * |  0  0  1  0 1 0 1 | 1 0 1 1
.. .. .x3.o.3.o    0  4 | 0  0  0  6 |  0  0  0  0  4 |  *  *  *  *  *  * 10 |  0  0  0  1 0 1 1 | 0 1 1 1
------------------+------+------------+----------------+----------------------+-------------------+--------
xx oo3ox .. ..&#x  2  6 | 1  6  3  6 |  3  6  3  2  0 |  3  2  0  1  0  0  0 | 10  *  *  * * * * | 2 0 0 0
xx .. ox3oo ..&#x  2  6 | 1  6  3  6 |  3  6  3  0  2 |  3  0  2  0  1  0  0 |  * 20  *  * * * * | 1 1 0 0
.. oo3ox3oo ..&#x  1  6 | 0  6  0 12 |  0 12  0  4  4 |  0  4  4  0  0  1  0 |  *  * 10  * * * * | 1 0 1 0
.. .. ox3oo3oo&#x  1  4 | 0  4  0  6 |  0  6  0  0  4 |  0  0  4  0  0  0  1 |  *  *  * 10 * * * | 0 1 1 0
.x .o3.x3.o ..     0 12 | 0  0  6 24 |  0  0 12  8  8 |  0  0  0  4  4  2  0 |  *  *  *  * 5 * * | 1 0 0 1
.x .. .x3.o.3.o    0  8 | 0  0  4 12 |  0  0  6  0  8 |  0  0  0  0  4  0  2 |  *  *  *  * * 5 * | 0 1 0 1
.. .o3.x3.o.3.o    0 10 | 0  0  0 30 |  0  0  0 10 20 |  0  0  0  0  0  5  5 |  *  *  *  * * * 2 | 0 0 1 1
------------------+------+------------+----------------+----------------------+-------------------+--------
xx oo3ox3oo ..&#x  2 12 | 1 12  6 24 |  6 24 12  8  8 | 12  8  8  4  4  2  0 |  4  4  2  0 1 0 0 | 5 * * *
xx .. ox3oo3oo&#x  2  8 | 1  8  4 12 |  4 12  6  0  8 |  6  0  8  0  4  0  2 |  0  4  0  2 0 1 0 | * 5 * *
.. oo3ox3oo3oo&#x  1 10 | 0 10  0 30 |  0 30  0 10 20 |  0 10 20  0  0  5  5 |  0  0  5  5 0 0 1 | * * 2 *
.x .o3.x3.o.3.o    0 20 | 0  0 10 60 |  0  0 30 20 40 |  0  0  0 10 20 10 10 |  0  0  0  0 5 5 2 | * * * 1

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