Acronym prippip
Name prismatorhombated-pentachoron prism
Circumradius sqrt(57/20) = 1.688194
Confer
general polytopal classes:
segmentotera  

Incidence matrix according to Dynkin symbol

x x3x3o3x

. . . . . | 120 |  1  1   2   2 |  1  2  2  2  2  1  2  1 |  2  2  1  2  1  1  2  1  1 | 1  2  1 1 1
----------+-----+---------------+-------------------------+----------------------------+------------
x . . . . |   2 | 60  *   *   * |  1  2  2  0  0  0  0  0 |  2  2  1  2  1  0  0  0  0 | 1  2  1 1 0
. x . . . |   2 |  * 60   *   * |  1  0  0  2  2  0  0  0 |  2  2  0  0  0  1  2  1  0 | 1  2  1 0 1
. . x . . |   2 |  *  * 120   * |  0  1  0  1  0  1  1  0 |  1  0  1  1  0  1  1  0  1 | 1  1  0 1 1
. . . . x |   2 |  *  *   * 120 |  0  0  1  0  1  0  1  1 |  0  1  0  1  1  0  1  1  1 | 0  1  1 1 1
----------+-----+---------------+-------------------------+----------------------------+------------
x x . . . |   4 |  2  2   0   0 | 30  *  *  *  *  *  *  * |  2  2  0  0  0  0  0  0  0 | 1  2  1 0 0
x . x . . |   4 |  2  0   2   0 |  * 60  *  *  *  *  *  * |  1  0  1  1  0  0  0  0  0 | 1  1  0 1 0
x . . . x |   4 |  2  0   0   2 |  *  * 60  *  *  *  *  * |  0  1  0  1  1  0  0  0  0 | 0  1  1 1 0
. x3x . . |   6 |  0  3   3   0 |  *  *  * 40  *  *  *  * |  1  0  0  0  0  1  1  0  0 | 1  1  0 0 1
. x . . x |   4 |  0  2   0   2 |  *  *  *  * 60  *  *  * |  0  1  0  0  0  0  1  1  0 | 0  1  1 0 1
. . x3o . |   3 |  0  0   3   0 |  *  *  *  *  * 40  *  * |  0  0  1  0  0  1  0  0  1 | 1  0  0 1 1
. . x . x |   4 |  0  0   2   2 |  *  *  *  *  *  * 60  * |  0  0  0  1  0  0  1  0  1 | 0  1  0 1 1
. . . o3x |   3 |  0  0   0   3 |  *  *  *  *  *  *  * 40 |  0  0  0  0  1  0  0  1  1 | 0  0  1 1 1
----------+-----+---------------+-------------------------+----------------------------+------------
x x3x . .   12 |  6  6   6   0 |  3  3  0  2  0  0  0  0 | 20  *  *  *  *  *  *  *  * | 1  1  0 0 0
x x . . x    8 |  4  4   0   4 |  2  0  2  0  2  0  0  0 |  * 30  *  *  *  *  *  *  * | 0  1  1 0 0
x . x3o .    6 |  3  0   6   0 |  0  3  0  0  0  2  0  0 |  *  * 20  *  *  *  *  *  * | 1  0  0 1 0
x . x . x    8 |  4  0   4   4 |  0  2  2  0  0  0  2  0 |  *  *  * 30  *  *  *  *  * | 0  1  0 1 0
x . . o3x    6 |  3  0   0   6 |  0  0  3  0  0  0  0  2 |  *  *  *  * 20  *  *  *  * | 0  0  1 1 0
. x3x3o .   12 |  0  6  12   0 |  0  0  0  4  0  4  0  0 |  *  *  *  *  * 10  *  *  * | 1  0  0 0 1
. x3x . x   12 |  0  6   6   6 |  0  0  0  2  3  0  3  0 |  *  *  *  *  *  * 20  *  * | 0  1  0 0 1
. x . o3x    6 |  0  3   0   6 |  0  0  0  0  3  0  0  2 |  *  *  *  *  *  *  * 20  * | 0  0  1 0 1
. . x3o3x   12 |  0  0  12  12 |  0  0  0  0  0  4  6  4 |  *  *  *  *  *  *  *  * 10 | 0  0  0 1 1
----------+-----+---------------+-------------------------+----------------------------+------------
x x3x3o .   24 | 12 12  24   0 |  6 12  0  8  0  8  0  0 |  4  0  4  0  0  2  0  0  0 | 5  *  * * *
x x3x . x   24 | 12 12  12  12 |  6  6  6  4  6  0  6  0 |  2  3  0  3  0  0  2  0  0 | * 10  * * * 
x x . o3x   12 |  6  6   0  12 |  3  0  6  0  6  0  0  4 |  0  3  0  0  2  0  0  2  0 | *  * 10 * *
x . x3o3x   24 | 12  0  24  24 |  0 12 12  0  0  8 12  8 |  0  0  4  6  4  0  0  0  2 | *  *  * 5 *
. x3x3o3x   60 |  0 30  60  60 |  0  0  0 20 30 20 30 20 |  0  0  0  0  0  5 10 10  5 | *  *  * * 2

xx3xx3oo3xx&#x   → height = 1
(prip || prip)

o.3o.3o.3o.    | 60  * |  1  2  2  1  0  0  0 |  2  2  1  2  1  1  2  2  0  0  0  0  0 | 1  2  1 1  2  2  1  2  1 0  0  0 0 | 1 1  2  1 1 0
.o3.o3.o3.o    |  * 60 |  0  0  0  1  1  2  2 |  0  0  0  0  0  1  2  2  2  2  1  2  1 | 0  0  0 0  2  2  1  2  1 1  2  1 1 | 0 1  2  1 1 1
---------------+-------+----------------------+----------------------------------------+------------------------------------+--------------
x. .. .. ..    |  2  0 | 30  *  *  *  *  *  * |  2  2  0  0  0  1  0  0  0  0  0  0  0 | 1  2  1 0  2  2  0  0  0 0  0  0 0 | 1 1  2  1 0 0
.. x. .. ..    |  2  0 |  * 60  *  *  *  *  * |  1  0  1  1  0  0  1  0  0  0  0  0  0 | 1  1  0 1  1  0  1  1  0 0  0  0 0 | 1 1  1  0 1 0
.. .. .. x.    |  2  0 |  *  * 60  *  *  *  * |  0  1  0  1  1  0  0  1  0  0  0  0  0 | 0  1  1 1  0  1  0  1  1 0  0  0 0 | 1 0  1  1 1 0
oo3oo3oo3oo&#x |  1  1 |  *  *  * 60  *  *  * |  0  0  0  0  0  1  2  2  0  0  0  0  0 | 0  0  0 0  2  2  1  2  1 0  0  0 0 | 0 1  2  1 1 0
.x .. .. ..    |  0  2 |  *  *  *  * 30  *  * |  0  0  0  0  0  1  0  0  2  2  0  0  0 | 0  0  0 0  2  2  0  0  0 1  2  1 0 | 0 1  2  1 0 1
.. .x .. ..    |  0  2 |  *  *  *  *  * 60  * |  0  0  0  0  0  0  1  0  1  0  1  1  0 | 0  0  0 0  1  0  1  1  0 1  1  0 1 | 0 1  1  0 1 1
.. .. .. .x    |  0  2 |  *  *  *  *  *  * 60 |  0  0  0  0  0  0  0  1  0  1  0  1  1 | 0  0  0 0  0  1  0  1  1 0  1  1 1 | 0 0  1  1 1 1
---------------+-------+----------------------+----------------------------------------+------------------------------------+--------------
x.3x. .. ..    |  6  0 |  3  3  0  0  0  0  0 | 20  *  *  *  *  *  *  *  *  *  *  *  * | 1  1  0 0  1  0  0  0  0 0  0  0 0 | 1 1  1  0 0 0
x. .. .. x.    |  4  0 |  2  0  2  0  0  0  0 |  * 30  *  *  *  *  *  *  *  *  *  *  * | 0  1  1 0  0  1  0  0  0 0  0  0 0 | 1 0  1  1 0 0
.. x.3o. ..    |  3  0 |  0  3  0  0  0  0  0 |  *  * 20  *  *  *  *  *  *  *  *  *  * | 1  0  0 1  0  0  1  0  0 0  0  0 0 | 1 1  0  0 1 0
.. x. .. x.    |  4  0 |  0  2  2  0  0  0  0 |  *  *  * 30  *  *  *  *  *  *  *  *  * | 0  1  0 1  0  0  0  1  0 0  0  0 0 | 1 0  1  0 1 0
.. .. o.3x.    |  3  0 |  0  0  3  0  0  0  0 |  *  *  *  * 20  *  *  *  *  *  *  *  * | 0  0  1 1  0  0  0  0  1 0  0  0 0 | 1 0  0  1 1 0
xx .. .. ..&#x |  2  2 |  1  0  0  2  1  0  0 |  *  *  *  *  * 30  *  *  *  *  *  *  * | 0  0  0 0  2  2  0  0  0 0  0  0 0 | 0 1  2  1 0 0
.. xx .. ..&#x |  2  2 |  0  1  0  2  0  1  0 |  *  *  *  *  *  * 60  *  *  *  *  *  * | 0  0  0 0  1  0  1  1  0 0  0  0 0 | 0 1  1  0 1 0
.. .. .. xx&#x |  2  2 |  0  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.x .. ..    |  0  6 |  0  0  0  0  3  3  0 |  *  *  *  *  *  *  *  * 20  *  *  *  * | 0  0  0 0  1  0  0  0  0 1  1  0 0 | 0 1  1  0 0 1
.x .. .. .x    |  0  4 |  0  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
.. .x3.o ..    |  0  3 |  0  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
.. .x .. .x    |  0  4 |  0  0  0  0  0  2  2 |  *  *  *  *  *  *  *  *  *  *  * 30  * | 0  0  0 0  0  0  0  1  0 0  1  0 1 | 0 0  1  0 1 1
.. .. .o3.x    |  0  3 |  0  0  0  0  0  0  3 |  *  *  *  *  *  *  *  *  *  *  *  * 20 | 0  0  0 0  0  0  0  0  1 0  0  1 1 | 0 0  0  1 1 1
---------------+-------+----------------------+----------------------------------------+------------------------------------+--------------
x.3x.3o. ..     12  0 |  6 12  0  0  0  0  0 |  4  0  4  0  0  0  0  0  0  0  0  0  0 | 5  *  * *  *  *  *  *  * *  *  * * | 1 1  0  0 0 0
x.3x. .. x.     12  0 |  6  6  6  0  0  0  0 |  2  3  0  3  0  0  0  0  0  0  0  0  0 | * 10  * *  *  *  *  *  * *  *  * * | 1 0  1  0 0 0
x. .. o.3x.      6  0 |  3  0  6  0  0  0  0 |  0  3  0  0  2  0  0  0  0  0  0  0  0 | *  * 10 *  *  *  *  *  * *  *  * * | 1 0  0  1 0 0
.. x.3o.3x.     12  0 |  0 12 12  0  0  0  0 |  0  0  4  6  4  0  0  0  0  0  0  0  0 | *  *  * 5  *  *  *  *  * *  *  * * | 1 0  0  0 1 0
xx3xx .. ..&#x   6  6 |  3  3  0  6  3  3  0 |  1  0  0  0  0  3  3  0  1  0  0  0  0 | *  *  * * 20  *  *  *  * *  *  * * | 0 1  1  0 0 0
xx .. .. xx&#x   4  4 |  2  0  2  4  2  0  2 |  0  1  0  0  0  2  0  2  0  1  0  0  0 | *  *  * *  * 30  *  *  * *  *  * * | 0 0  1  1 0 0
.. xx3oo ..&#x   3  3 |  0  3  0  3  0  3  0 |  0  0  1  0  0  0  3  0  0  0  1  0  0 | *  *  * *  *  * 20  *  * *  *  * * | 0 1  0  0 1 0
.. xx .. xx&#x   4  4 |  0  2  2  4  0  2  2 |  0  0  0  1  0  0  2  2  0  0  0  1  0 | *  *  * *  *  *  * 30  * *  *  * * | 0 0  1  0 1 0
.. .. oo3xx&#x   3  3 |  0  0  3  3  0  0  3 |  0  0  0  0  1  0  0  3  0  0  0  0  1 | *  *  * *  *  *  *  * 20 *  *  * * | 0 0  0  1 1 0
.x3.x3.o ..      0 12 |  0  0  0  0  6 12  0 |  0  0  0  0  0  0  0  0  4  0  4  0  0 | *  *  * *  *  *  *  *  * 5  *  * * | 0 1  0  0 0 1
.x3.x .. .x      0 12 |  0  0  0  0  6  6  6 |  0  0  0  0  0  0  0  0  2  3  0  3  0 | *  *  * *  *  *  *  *  * * 10  * * | 0 0  1  0 0 1
.x .. .o3.x      0  6 |  0  0  0  0  3  0  6 |  0  0  0  0  0  0  0  0  0  3  0  0  2 | *  *  * *  *  *  *  *  * *  * 10 * | 0 0  0  1 0 1
.. .x3.o3.x      0 12 |  0  0  0  0  0 12 12 |  0  0  0  0  0  0  0  0  0  0  4  6  4 | *  *  * *  *  *  *  *  * *  *  * 5 | 0 0  0  0 1 1
---------------+-------+----------------------+----------------------------------------+------------------------------------+--------------
x.3x.3o.3x.     60  0 | 30 60 60  0  0  0  0 | 20 30 20 30 20  0  0  0  0  0  0  0  0 | 5 10 10 5  0  0  0  0  0 0  0  0 0 | 1 *  *  * * *
xx3xx3oo ..&#x  12 12 |  6 12  0 12  6 12  0 |  4  0  4  0  0  6 12  0  4  0  4  0  0 | 1  0  0 0  4  0  4  0  0 1  0  0 0 | * 5  *  * * *
xx3xx .. xx&#x  12 12 |  6  6  6 12  6  6  6 |  2  3  0  3  0  6  6  6  2  3  0  3  0 | 0  1  0 0  2  3  0  3  0 0  1  0 0 | * * 10  * * *
xx .. oo3xx&#x   6  6 |  3  0  6  6  3  0  6 |  0  3  0  0  2  3  0  6  0  3  0  0  2 | 0  0  1 0  0  3  0  0  2 0  0  1 0 | * *  * 10 * *
.. xx3oo3xx&#x  12 12 |  0 12 12 12  0 12 12 |  0  0  4  6  4  0 12 12  0  0  4  6  4 | 0  0  0 1  0  0  4  6  4 0  0  0 1 | * *  *  * 5 *
.x3.x3.o3.x      0 60 |  0  0  0  0 30 60 60 |  0  0  0  0  0  0  0  0 20 30 20 30 20 | 0  0  0 0  0  0  0  0  0 5 10 10 5 | * *  *  * * 1

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