Acronym squapen
Name square-pentachoron duoprism,
vertex figure of bersa
|,>,O device line pyramid pyramid pyramid prism prism = |>>>||
Circumradius sqrt(9/10) = 0.948683
Confer
more general:
n,pen-dip  
general polytopal classes:
segmentopeta  

Incidence matrix according to Dynkin symbol

x4o x3o3o3o

. . . . . . | 20 |  2  4 | 1  8  6 |  4 12  4 |  6  8 1 | 4 2
------------+----+-------+---------+----------+---------+----
x . . . . . |  2 | 20  * | 1  4  0 |  4  6  0 |  6  4 0 | 4 1
. . x . . . |  2 |  * 40 | 0  2  3 |  1  6  3 |  3  6 1 | 3 2
------------+----+-------+---------+----------+---------+----
x4o . . . . |  4 |  4  0 | 5  *  *   4  0  0 |  6  0 0 | 4 0
x . x . . . |  4 |  2  2 | * 40  * |  1  3  0 |  3  3 0 | 3 1
. . x3o . . |  3 |  0  3 | *  * 40 |  0  2  2 |  1  4 1 | 2 2
------------+----+-------+---------+----------+---------+----
x4o x . . .   8 |  8  4 | 2  4  0 | 10  *  * |  3  0 0 | 3 0
x . x3o . .   6 |  3  6 | 0  3  2 |  * 40  * |  1  2 0 | 2 1
. . x3o3o .   4 |  0  6 | 0  0  4 |  *  * 20 |  0  2 1 | 1 2
------------+----+-------+---------+----------+---------+----
x4o x3o . .  12 | 12 12 | 3 12  4 |  3  4  0 | 10  * * | 2 0
x . x3o3o .   8 |  4 12 | 0  6  8 |  0  4  2 |  * 20 * | 1 1
. . x3o3o3o   5 |  0 10 | 0  0 10 |  0  0  5 |  *  * 4 | 0 2
------------+----+-------+---------+----------+---------+----
x4o x3o3o .  16 | 16 24 | 4 24 16 |  6 16  4 |  4  4 0 | 5 *
x . x3o3o3o  10 |  5 20 | 0 10 20 |  0 10 10 |  0  5 2 | * 4

x x x3o3o3o

. . . . . . | 20 |  1  1  4 | 1  4  4  6 |  4  6  6  4 |  6  4  4 1 | 4 1 1
------------+----+----------+------------+-------------+------------+------
x . . . . . |  2 | 10  *  * | 1  4  0  0 |  4  6  0  0 |  6  4  0 0 | 4 1 0
. x . . . . |  2 |  * 10  * | 1  0  4  0 |  4  0  6  0 |  6  0  4 0 | 4 0 1
. . x . . . |  2 |  *  * 40 | 0  1  1  3 |  1  3  3  3 |  3  3  3 1 | 3 1 1
------------+----+----------+------------+-------------+------------+------
x x . . . . |  4 |  2  2  0 | 5  *  *  *   4  0  0  0 |  6  0  0 0 | 4 0 0
x . x . . . |  4 |  2  0  2 | * 20  *  * |  1  3  0  0 |  3  3  0 0 | 3 1 0
. x x . . . |  4 |  0  2  2 | *  * 20  * |  1  0  3  0 |  3  0  3 0 | 3 0 1
. . x3o . . |  3 |  0  0  3 | *  *  * 40 |  0  1  1  2 |  1  2  2 1 | 2 1 1
------------+----+----------+------------+-------------+------------+------
x x x . . .   8 |  4  4  4 | 2  2  2  0 | 10  *  *  * |  3  0  0 0 | 3 0 0
x . x3o . .   6 |  3  0  6 | 0  3  0  2 |  * 20  *  * |  1  2  0 0 | 2 1 0
. x x3o . .   6 |  0  3  6 | 0  0  3  2 |  *  * 20  * |  1  0  2 0 | 2 0 1
. . x3o3o .   4 |  0  0  6 | 0  0  0  4 |  *  *  * 20 |  0  1  1 1 | 1 1 1
------------+----+----------+------------+-------------+------------+------
x x x3o . .  12 |  6  6 12 | 3  6  6  4 |  3  2  2  0 | 10  *  * * | 2 0 0
x . x3o3o .   8 |  4  0 12 | 0  6  0  8 |  0  4  0  2 |  * 10  * * | 1 1 0
. x x3o3o .   8 |  0  4 12 | 0  0  6  8 |  0  0  4  2 |  *  * 10 * | 1 0 1
. . x3o3o3o   5 |  0  0 10 | 0  0  0 10 |  0  0  0  5 |  *  *  * 4 | 0 1 1
------------+----+----------+------------+-------------+------------+------
x x x3o3o .  16 |  8  8 24 | 4 12 12 16 |  6  8  8  4 |  4  2  2 0 | 5 * *
x . x3o3o3o  10 |  5  0 20 | 0 10  0 20 |  0 10  0 10 |  0  5  0 2 | * 2 *
. x x3o3o3o  10 |  0  5 20 | 0  0 10 20 |  0  0 10 10 |  0  0  5 2 | * * 2

xx xx3oo3oo3oo&#x   → height = 1
(penp || penp)

o. o.3o.3o.3o.    & | 20 |  1  4  1 |  4  6 1  4 |  6  4  4  6 |  4 1  6  4 | 1 4 1
--------------------+----+----------+------------+-------------+------------+------
x. .. .. .. ..    & |  2 | 10  *  * |  4  0 1  0 |  6  0  4  0 |  4 0  6  0 | 1 4 0
.. x. .. .. ..    & |  2 |  * 40  * |  1  3 0  1 |  3  3  1  3 |  3 1  3  3 | 1 3 1
oo oo3oo3oo3oo&#x   |  2 |  *  * 10 |  0  0 1  4 |  0  0  4  6 |  0 0  6  4 | 0 4 1
--------------------+----+----------+------------+-------------+------------+------
x. x. .. .. ..    & |  4 |  2  2  0 | 20  * *  * |  3  0  1  0 |  3 0  3  0 | 1 3 0
.. x.3o. .. ..    & |  3 |  0  3  0 |  * 40 *  * |  1  2  0  1 |  2 1  1  2 | 1 2 1
xx .. .. .. ..&#x   |  4 |  2  0  2 |  *  * 5  *   0  0  4  0 |  0 0  6  0 | 0 4 0
.. xx .. .. ..&#x   |  4 |  0  2  2 |  *  * * 20 |  0  0  1  3 |  0 0  3  3 | 0 3 1
--------------------+----+----------+------------+-------------+------------+------
x. x.3o. .. ..    &   6 |  3  6  0 |  3  2 0  0 | 20  *  *  * |  2 0  1  0 | 1 2 0
.. x.3o.3o. ..    &   4 |  0  6  0 |  0  4 0  0 |  * 20  *  * |  1 1  0  1 | 1 1 1
xx xx .. .. ..&#x     8 |  4  4  4 |  2  0 2  2 |  *  * 10  * |  0 0  3  0 | 0 3 0
.. xx3oo .. ..&#x     6 |  0  6  3 |  0  2 0  3 |  *  *  * 20 |  0 0  1  2 | 0 2 1
--------------------+----+----------+------------+-------------+------------+------
x. x.3o.3o. ..    &   8 |  4 12  0 |  6  8 0  0 |  4  2  0  0 | 10 *  *  * | 1 1 0
.. x.3o.3o.3o.    &   5 |  0 10  0 |  0 10 0  0 |  0  5  0  0 |  * 4  *  * | 1 0 1
xx xx3oo .. ..&#x    12 |  6 12  6 |  6  4 3  6 |  2  0  3  2 |  * * 10  * | 0 2 0
.. xx3oo3oo ..&#x     8 |  0 12  4 |  0  8 0  6 |  0  2  0  4 |  * *  * 10 | 0 1 1
--------------------+----+----------+------------+-------------+------------+------
x. x.3o.3o.3o.    &  10 |  5 20  0 | 10 20 0  0 | 10 10  0  0 |  5 2  0  0 | 2 * *
xx xx3oo3oo ..&#x    16 |  8 24  8 | 12 16 4 12 |  8  4  6  8 |  2 0  4  2 | * 5 *
.. xx3oo3oo3oo&#x    10 |  0 20  5 |  0 20 0 10 |  0 10  0 10 |  0 2  0  5 | * * 2

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