Acronym ...
Name piphid+10tet (?)
Circumradius 1
General of army spid
Colonel of regiment spid

Looks like a compound of a prismatopentahemidecachoron (piphid) plus 10 additional tetrahedra (tet) in pentachoral positions coincident by 2 each.


Incidence matrix according to Dynkin symbol

β3o3o3x

both( . . . . ) | 20 |  3  6 |  3  3  3  6 | 1 1  3 3
----------------+----+-------+-------------+---------
both( . . . x ) |  2 | 30  * |  2  0  0  2 | 1 0  1 2
sefa( β3o . . ) |  2 |  * 60 |  0  1  1  1 | 0 1  1 1
----------------+----+-------+-------------+---------
both( . . o3x ) |  3 |  3  0 | 20  *  *  * | 1 0  0 1
      β3o . .     3 |  0  3 |  * 20  *  * | 0 1  1 0
sefa( β3o3o . ) |  3 |  0  3 |  *  * 20  * | 0 1  0 1
sefa( β3o . x ) |  4 |  2  2 |  *  *  * 30 | 0 0  1 1
----------------+----+-------+-------------+---------
both( . o3o3x )   4 |  6  0 |  4  0  0  0 | 5 *  * *
      β3o3o .     4 |  0 12 |  0  4  4  0 | * 5  * *
      β3o . x     6 |  3  6 |  0  2  0  3 | * * 10 *
sefa( β3o3o3x )  12 | 12 12 |  4  0  4  6 | * *  * 5

starting figure: x3o3o3x

x3o3x3o3/2*b

o3o3o3o3/2*b | 20 |  3  6 |  3  6  3  3 | 3 1  3 1
-------------+----+-------+-------------+---------
x . . .      |  2 | 30  * |  2  2  0  0 | 2 1  1 0
. . x .      |  2 |  * 60 |  0  1  1  1 | 1 0  1 1
-------------+----+-------+-------------+---------
x3o . .      |  3 |  3  0 | 20  *  *  * | 1 1  0 0
x . x .      |  4 |  2  2 |  * 30  *  * | 1 0  1 0
. o3x .      |  3 |  0  3 |  *  * 20  * | 1 0  0 1
. . x3o      |  3 |  0  3 |  *  *  * 20 | 0 0  1 1
-------------+----+-------+-------------+---------
x3o3x .       12 | 12 12 |  4  6  4  0 | 5 *  * *
x3o . o3/2*b   4 |  6  0 |  4  0  0  0 | * 5  * *
x . x3o        6 |  3  6 |  0  3  0  2 | * * 10 *
. o3x3o3/2*b   4 |  0 12 |  0  0  4  4 | * *  * 5

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