Acronym tippip
Name truncated-pentachoron prism
Circumradius sqrt(37/20) = 1.360147
Confer
general polytopal classes:
segmentotera  

Incidence matrix according to Dynkin symbol

x x3x3o3o

. . . . . | 40 |  1  1  3 |  1  3  3  3 |  3  3  3  1 | 3 1 1
----------+----+----------+-------------+-------------+------
x . . . . |  2 | 20  *  * |  1  3  0  0 |  3  3  0  0 | 3 1 0
. x . . . |  2 |  * 20  * |  1  0  3  0 |  3  0  3  0 | 3 0 1
. . x . . |  2 |  *  * 60 |  0  1  1  2 |  1  2  2  1 | 2 1 1
----------+----+----------+-------------+-------------+------
x x . . . |  4 |  2  2  0 | 10  *  *  * |  3  0  0  0 | 3 0 0
x . x . . |  4 |  2  0  2 |  * 30  *  * |  1  2  0  0 | 2 1 0
. x3x . . |  6 |  0  3  3 |  *  * 20  * |  1  0  2  0 | 2 0 1
. . x3o . |  3 |  0  0  3 |  *  *  * 40 |  0  1  1  1 | 1 1 1
----------+----+----------+-------------+-------------+------
x x3x . .  12 |  6  6  6 |  3  3  2  0 | 10  *  *  * | 2 0 0
x . x3o .   6 |  3  0  6 |  0  3  0  2 |  * 20  *  * | 1 1 0
. x3x3o .  12 |  0  6 12 |  0  0  4  4 |  *  * 10  * | 1 0 1
. . x3o3o   4 |  0  0  6 |  0  0  0  4 |  *  *  * 10 | 0 1 1
----------+----+----------+-------------+-------------+------
x x3x3o .  24 | 12 12 24 |  6 12  8  8 |  4  4  2  0 | 5 * *
x . x3o3o   8 |  4  0 12 |  0  6  0  8 |  0  4  0  2 | * 5 *
. x3x3o3o  20 |  0 10 30 |  0  0 10 20 |  0  0  5  5 | * * 2

xx3xx3oo3oo&#x   → height = 1
(tip || tip)

o.3o.3o.3o.    | 20  * |  1  3  1  0  0 |  3  3  1  3  0  0 | 3 1  3  3 0 0 | 1 3 1 0
.o3.o3.o3.o    |  * 20 |  0  0  1  1  3 |  0  0  1  3  3  3 | 0 0  3  3 3 1 | 0 3 1 1
---------------+-------+----------------+-------------------+---------------+--------
x. .. .. ..    |  2  0 | 10  *  *  *  * |  3  0  1  0  0  0 | 3 0  3  0 0 0 | 1 3 0 0
.. x. .. ..    |  2  0 |  * 30  *  *  * |  1  2  0  1  0  0 | 2 1  1  2 0 0 | 1 2 1 0
oo3oo3oo3oo&#x |  1  1 |  *  * 20  *  * |  0  0  1  3  0  0 | 0 0  3  3 0 0 | 0 3 1 0
.x .. .. ..    |  0  2 |  *  *  * 10  * |  0  0  1  0  3  0 | 0 0  3  0 3 0 | 0 3 0 1
.. .x .. ..    |  0  2 |  *  *  *  * 30 |  0  0  0  1  1  2 | 0 0  1  2 2 1 | 0 2 1 1
---------------+-------+----------------+-------------------+---------------+--------
x.3x. .. ..    |  6  0 |  3  3  0  0  0 | 10  *  *  *  *  * | 2 0  1  0 0 0 | 1 2 0 0
.. x.3o. ..    |  3  0 |  0  3  0  0  0 |  * 20  *  *  *  * | 1 1  0  1 0 0 | 1 1 1 0
xx .. .. ..&#x |  2  2 |  1  0  2  1  0 |  *  * 10  *  *  * | 0 0  3  0 0 0 | 0 3 0 0
.. xx .. ..&#x |  2  2 |  0  1  2  0  1 |  *  *  * 30  *  * | 0 0  1  2 0 0 | 0 2 1 0
.x3.x .. ..    |  0  6 |  0  0  0  3  3 |  *  *  *  * 10  * | 0 0  1  0 2 0 | 0 2 0 1
.. .x3.o ..    |  0  3 |  0  0  0  0  3 |  *  *  *  *  * 20 | 0 0  0  1 1 1 | 0 1 1 1
---------------+-------+----------------+-------------------+---------------+--------
x.3x.3o. ..     12  0 |  6 12  0  0  0 |  4  4  0  0  0  0 | 5 *  *  * * * | 1 1 0 0
.. x.3o.3o.      4  0 |  0  6  0  0  0 |  0  4  0  0  0  0 | * 5  *  * * * | 1 0 1 0
xx3xx .. ..&#x   6  6 |  3  3  6  3  3 |  1  0  3  3  1  0 | * * 10  * * * | 0 2 0 0
.. xx3oo ..&#x   3  3 |  0  3  3  0  3 |  0  1  0  3  0  1 | * *  * 20 * * | 0 1 1 0
.x3.x3.o ..      0 12 |  0  0  0  6 12 |  0  0  0  0  4  4 | * *  *  * 5 * | 0 1 0 1
.. .x3.o3.o      0  4 |  0  0  0  0  6 |  0  0  0  0  0  4 | * *  *  * * 5 | 0 0 1 1
---------------+-------+----------------+-------------------+---------------+--------
x.3x.3o.3o.     20  0 | 10 30  0  0  0 | 10 20  0  0  0  0 | 5 5  0  0 0 0 | 1 * * *
xx3xx3oo ..&#x  12 12 |  6 12 12  6 12 |  4  4  6 12  4  4 | 1 0  4  4 1 0 | * 5 * *
.. xx3oo3oo&#x   4  4 |  0  6  4  0  6 |  0  4  0  6  0  4 | 0 1  0  4 0 1 | * * 5 *
.x3.x3.o3.o      0 20 |  0  0  0 10 30 |  0  0  0  0 10 20 | 0 0  0  0 5 5 | * * * 1

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