Acronym ...
Name 2pen (?)
Circumradius sqrt(2/5) = 0.632456
General of army pen
Colonel of regiment pen
Confer
non-Grünbaumian master:
pen  
Grünbaumian relatives:
3pen   4pen+160{3}  

Looks like a compound of 2 pentachora (pen) with vertices and edges identified, while faces and cells coincide by pairs.


Incidence matrix according to Dynkin symbol

x3o3o3o3/2*b

. . . .      | 5   4 | 12 | 4 4
-------------+---+----+----+----
x . . .      | 2 | 10 |  6 | 3 3
-------------+---+----+----+----
x3o . .      | 3 |  3 | 20 | 1 1
-------------+---+----+----+----
x3o3o .       4 |  6 |  4 | 5 *
x3o . o3/2*b  4 |  6 |  4 | * 5

x3o3o3/2o3*b

. . .   .    | 5   4 | 12 | 4 4
-------------+---+----+----+----
x . .   .    | 2 | 10 |  6 | 3 3
-------------+---+----+----+----
x3o .   .    | 3 |  3 | 20 | 1 1
-------------+---+----+----+----
x3o3o   .     4 |  6 |  4 | 5 *
x3o .   o3*b  4 |  6 |  4 | * 5
or
. . .   .      | 5   4 | 12 |  8
---------------+---+----+----+---
x . .   .      | 2 | 10 |  6 |  6
---------------+---+----+----+---
x3o .   .      | 3 |  3 | 20 |  2
---------------+---+----+----+---
x3o3o   .    &  4 |  6 |  4 | 10

x3o3/2o3/2o3/2*b

. .   .   .      | 5   4 | 12 | 4 4
-----------------+---+----+----+----
x .   .   .      | 2 | 10 |  6 | 3 3
-----------------+---+----+----+----
x3o   .   .      | 3 |  3 | 20 | 1 1
-----------------+---+----+----+----
x3o3/2o   .       4 |  6 |  4 | 5 *
x3o   .   o3/2*b  4 |  6 |  4 | * 5
or
. .   .   .        | 5   4 | 12 |  8
-------------------+---+----+----+---
x .   .   .        | 2 | 10 |  6 |  6
-------------------+---+----+----+---
x3o   .   .        | 3 |  3 | 20 |  2
-------------------+---+----+----+---
x3o3/2o   .      &  4 |  6 |  4 | 10

x3/2o3o3o3/2*b

.   . . .      | 5   4 | 12 | 4 4
---------------+---+----+----+----
x   . . .      | 2 | 10 |  6 | 3 3
---------------+---+----+----+----
x3/2o . .      | 3 |  3 | 20 | 1 1
---------------+---+----+----+----
x3/2o3o .       4 |  6 |  4 | 5 *
x3/2o . o3/2*b  4 |  6 |  4 | * 5

x3/2o3o3/2o3*b

.   . .   .    | 5   4 | 12 | 4 4
---------------+---+----+----+----
x   . .   .    | 2 | 10 |  6 | 3 3
---------------+---+----+----+----
x3/2o .   .    | 3 |  3 | 20 | 1 1
---------------+---+----+----+----
x3/2o3o   .     4 |  6 |  4 | 5 *
x3/2o .   o3*b  4 |  6 |  4 | * 5
or
.   . .   .      | 5   4 | 12 |  8
-----------------+---+----+----+---
x   . .   .      | 2 | 10 |  6 |  6
-----------------+---+----+----+---
x3/2o .   .      | 3 |  3 | 20 |  2
-----------------+---+----+----+---
x3/2o3o   .    &  4 |  6 |  4 | 10

x3/2o3/2o3/2o3/2*b

.   .   .   .      | 5   4 | 12 | 4 4
-------------------+---+----+----+----
x   .   .   .      | 2 | 10 |  6 | 3 3
-------------------+---+----+----+----
x3/2o   .   .      | 3 |  3 | 20 | 1 1
-------------------+---+----+----+----
x3/2o3/2o   .       4 |  6 |  4 | 5 *
x3/2o   .   o3/2*b  4 |  6 |  4 | * 5
or
.   .   .   .        | 5   4 | 12 |  8
---------------------+---+----+----+---
x   .   .   .        | 2 | 10 |  6 |  6
---------------------+---+----+----+---
x3/2o   .   .        | 3 |  3 | 20 |  2
---------------------+---+----+----+---
x3/2o3/2o   .      &  4 |  6 |  4 | 10

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