Acronym squahix
Name square - hexateron duoprism,
hixip prism,
vertex figure of bro
|,>,O device line pyramid pyramid pyramid pyramid prism prism = |>>>>||
Circumradius sqrt(11/12) = 0.957427
Confer
more general:
n,hix-dip  
general polytopal classes:
segmentoexa  

Incidence matrix according to Dynkin symbol

x4o x3o3o3o3o

. . . . . . . | 24 |  2  5 | 1 10 10 |  5 20 10 | 10 10  5 | 10 10 1 | 5 2
--------------+----+-------+---------+----------+----------+---------+----
x . . . . . . |  2 | 24  * | 1  5  0 |  5 10  0 | 10  5  0 | 10  5 0 | 5 1
. . x . . . . |  2 |  * 60 | 0  2  4 |  1  8  6 |  4 12  4 |  6  8 1 | 4 2
--------------+----+-------+---------+----------+----------+---------+----
x4o . . . . . |  3 |  3  0 | 6  *  *   5  0  0 | 10  0  0 | 10  0 0 | 5 0
x . x . . . . |  4 |  2  2 | * 60  * |  1  4  0 |  4  6  0 |  6  4 0 | 4 1
. . x3o . . . |  3 |  0  3 | *  * 80 |  0  2  3 |  1  6  3 |  3  6 1 | 3 2
--------------+----+-------+---------+----------+----------+---------+----
x4o x . . . .   8 |  8  4 | 2  4  0 | 15  *  *   4  0  0 |  6  0 0 | 4 0
x . x3o . . .   6 |  3  6 | 0  3  2 |  * 80  * |  1  3  0 |  3  3 0 | 3 1
. . x3o3o . .   4 |  0  6 | 0  0  4 |  *  * 60 |  0  2  2 |  1  4 1 | 2 2
--------------+----+-------+---------+----------+----------+---------+----
x4o x3o . . .  12 | 12 12 | 3 12  4 |  3  4  0 | 20  *  * |  3  0 0 | 3 0
x . x3o3o . .   8 |  4 12 | 0  6  8 |  0  4  2 |  * 60  * |  1  2 0 | 2 1
. . x3o3o3o .   5 |  0 10 | 0  0 10 |  0  0  5 |  *  * 24 |  0  2 1 | 1 2
--------------+----+-------+---------+----------+----------+---------+----
x4o x3o3o . .  16 | 16 24 | 4 24 16 |  6 16  4 |  4  4  0 | 15  * * | 2 0
x . x3o3o3o .  10 |  5 20 | 0 10 20 |  0 10 10 |  0  5  2 |  * 24 * | 1 1
. . x3o3o3o3o   6 |  0 15 | 0  0 20 |  0  0 15 |  0  0  6 |  *  * 4 | 0 2
--------------+----+-------+---------+----------+----------+---------+----
x4o x3o3o3o .  20 | 20 40 | 5 40 40 | 10 40 20 | 10 20  4 |  5  4 0 | 6 *
x . x3o3o3o3o  12 |  6 30 | 0 15 40 |  0 20 30 |  0 15 12 |  0  6 2 | * 4

x x x3o3o3o3o

. . . . . . . | 24 |  1  1  5 | 1  5  5 10 |  5 10 10 10 | 10 10 10  5 | 10  5  5 1 | 5 1 1
--------------+----+----------+------------+-------------+-------------+------------+------
x . . . . . . |  2 | 12  *  * | 1  5  0  0 |  5 10  0  0 | 10 10  0  0 | 10  5  0 0 | 5 1 0
. x . . . . . |  2 |  * 12  * | 1  0  5  0 |  5  0 10  0 | 10  0 10  0 | 10  0  5 0 | 5 0 1
. . x . . . . |  2 |  *  * 60 | 0  1  1  4 |  1  4  4  6 |  4  6  6  4 |  6  4  4 1 | 4 1 1
--------------+----+----------+------------+-------------+-------------+------------+------
x x . . . . . |  4 |  2  2  0 | 6  *  *  *   5  0  0  0 | 10  0  0  0 | 10  0  0 0 | 5 0 0
x . x . . . . |  4 |  2  0  2 | * 30  *  * |  1  4  0  0 |  4  6  0  0 |  6  4  0 0 | 4 1 0
. x x . . . . |  4 |  0  2  2 | *  * 30  * |  1  0  4  0 |  4  0  6  0 |  6  0  4 0 | 4 0 1
. . x3o . . . |  3 |  0  0  3 | *  *  * 80 |  0  1  1  3 |  1  3  3  3 |  3  3  3 1 | 3 1 1
--------------+----+----------+------------+-------------+-------------+------------+------
x x x . . . .   8 |  4  4  4 | 2  2  2  0 | 15  *  *  *   4  0  0  0 |  6  0  0 0 | 4 0 0
x . x3o . . .   6 |  3  0  6 | 0  3  0  2 |  * 40  *  * |  1  3  0  0 |  3  3  0 0 | 3 1 0
. x x3o . . .   6 |  0  3  6 | 0  0  3  2 |  *  * 40  * |  1  0  3  0 |  3  0  3 0 | 3 0 1
. . x3o3o . .   4 |  0  0  6 | 0  0  0  4 |  *  *  * 60 |  0  1  1  2 |  1  2  2 1 | 2 1 1
--------------+----+----------+------------+-------------+-------------+------------+------
x x x3o . . .  12 |  6  6 12 | 3  6  6  4 |  3  2  2  0 | 20  *  *  * |  3  0  0 0 | 3 0 0
x . x3o3o . .   8 |  4  0 12 | 0  6  0  8 |  0  4  0  2 |  * 30  *  * |  1  2  0 0 | 2 1 0
. x x3o3o . .   8 |  0  4 12 | 0  0  6  8 |  0  0  4  2 |  *  * 30  * |  1  0  2 0 | 2 0 1
. . x3o3o3o .   5 |  0  0 10 | 0  0  0 10 |  0  0  0  5 |  *  *  * 24 |  0  1  1 1 | 1 1 1
--------------+----+----------+------------+-------------+-------------+------------+------
x x x3o3o . .  16 |  8  8 24 | 4 12 12 16 |  6  8  8  4 |  4  2  2  0 | 15  *  * * | 2 0 0
x . x3o3o3o .  10 |  5  0 20 | 0 10  0 20 |  0 10  0 10 |  0  5  0  2 |  * 12  * * | 1 1 0
. x x3o3o3o .  10 |  0  5 20 | 0  0 10 20 |  0  0 10 10 |  0  0  5  2 |  *  * 12 * | 1 0 1
. . x3o3o3o3o   6 |  0  0 15 | 0  0  0 20 |  0  0  0 15 |  0  0  0  6 |  *  *  * 4 | 0 1 1
--------------+----+----------+------------+-------------+-------------+------------+------
x x x3o3o3o .  20 | 10 10 40 | 5 20 20 40 | 10 20 20 20 | 10 10 10  4 |  5  2  2 0 | 6 * *
x . x3o3o3o3o  12 |  6  0 30 | 0 15  0 40 |  0 20  0 30 |  0 15  0 12 |  0  6  0 2 | * 2 *
. x x3o3o3o3o  12 |  0  6 30 | 0  0 15 40 |  0  0 20 30 |  0  0 15 12 |  0  0  6 2 | * * 2

xx xx3oo3oo3oo3oo&#x   → height = 1
(hixip || hixip)

o. o.3o.3o.3o.3o.    | 12  * | 1  5  1 0  0 |  5 10 1  5  0  0 | 10 10  5 10  0  0 | 10  5 10 10  0  0 | 5 1 10  5 0 0 | 1 5 1 0
.o .o3.o3.o3.o3.o    |  * 12 | 0  0  1 1  5 |  0  0 1  5  5 10 |  0  0  5 10 10 10 |  0  0 10 10 10  5 | 0 0 10  5 5 1 | 0 5 1 1
---------------------+-------+--------------+------------------+-------------------+-------------------+---------------+--------
x. .. .. .. .. ..    |  2  0 | 6  *  * *  * |  5  0 1  0  0  0 | 10  0  5  0  0  0 | 10  0 10  0  0  0 | 5 0 10  0 0 0 | 1 5 0 0
.. x. .. .. .. ..    |  2  0 | * 30  * *  * |  1  4 0  1  0  0 |  4  6  1  4  0  0 |  6  4  4  6  0  0 | 4 1  6  4 0 0 | 1 4 1 0
oo oo3oo3oo3oo3oo&#x |  1  1 | *  * 12 *  * |  0  0 1  5  0  0 |  0  0  5 10  0  0 |  0  0 10 10  0  0 | 0 0 10  5 0 0 | 0 5 1 0
.x .. .. .. .. ..    |  0  2 | *  *  * 6  * |  0  0 1  0  5  0 |  0  0  5  0 10  0 |  0  0 10  0 10  0 | 0 0 10  0 5 0 | 0 5 0 1
.. .x .. .. .. ..    |  0  2 | *  *  * * 30 |  0  0 0  1  1  4 |  0  0  1  4  4  6 |  0  0  4  6  6  4 | 0 0  6  4 4 1 | 0 4 1 1
---------------------+-------+--------------+------------------+-------------------+-------------------+---------------+--------
x. x. .. .. .. ..    |  4  0 | 2  2  0 0  0 | 15  * *  *  *  * |  4  0  1  0  0  0 |  6  0  4  0  0  0 | 4 0  6  0 0 0 | 1 4 0 0
.. x.3o. .. .. ..    |  3  0 | 0  3  0 0  0 |  * 40 *  *  *  * |  1  3  0  1  0  0 |  3  3  1  3  0  0 | 3 1  3  3 0 0 | 1 3 1 0
xx .. .. .. .. ..&#x |  2  2 | 1  0  2 1  0 |  *  * 6  *  *  *   0  0  5  0  0  0 |  0  0 10  0  0  0 | 0 0 10  0 0 0 | 0 5 0 0
.. xx .. .. .. ..&#x |  2  2 | 0  1  2 0  1 |  *  * * 30  *  * |  0  0  1  4  0  0 |  0  0  4  6  0  0 | 0 0  6  4 0 0 | 0 4 1 0
.x .x .. .. .. ..    |  0  4 | 0  0  0 2  2 |  *  * *  * 15  * |  0  0  1  0  4  0 |  0  0  4  0  6  0 | 0 0  6  0 4 0 | 0 4 0 1
.. .x3.o .. .. ..    |  0  3 | 0  0  0 0  3 |  *  * *  *  * 40 |  0  0  0  1  1  3 |  0  0  1  3  3  3 | 0 0  3  3 3 1 | 0 3 1 1
---------------------+-------+--------------+------------------+-------------------+-------------------+---------------+--------
x. x.3o. .. .. ..      6  0 | 3  6  0 0  0 |  3  2 0  0  0  0 | 20  *  *  *  *  * |  3  0  1  0  0  0 | 3 0  3  0 0 0 | 1 3 0 0
.. x.3o.3o. .. ..      4  0 | 0  6  0 0  0 |  0  4 0  0  0  0 |  * 30  *  *  *  * |  1  2  0  1  0  0 | 2 1  1  2 0 0 | 1 2 1 0
xx xx .. .. .. ..&#x   4  4 | 2  2  4 2  2 |  1  0 2  2  1  0 |  *  * 15  *  *  *   0  0  4  0  0  0 | 0 0  6  0 0 0 | 0 4 0 0
.. xx3oo .. .. ..&#x   3  3 | 0  3  3 0  3 |  0  1 0  3  0  1 |  *  *  * 40  *  * |  0  0  1  3  0  0 | 0 0  3  3 0 0 | 0 3 1 0
.x .x3.o .. .. ..      0  6 | 0  0  0 3  6 |  0  0 0  0  3  2 |  *  *  *  * 20  * |  0  0  1  0  3  0 | 0 0  3  0 3 0 | 0 3 0 1
.. .x3.o3.o .. ..      0  4 | 0  0  0 0  6 |  0  0 0  0  0  4 |  *  *  *  *  * 30 |  0  0  0  1  1  2 | 0 0  1  2 2 1 | 0 2 1 1
---------------------+-------+--------------+------------------+-------------------+-------------------+---------------+--------
x. x.3o.3o. .. ..      8  0 | 4 12  0 0  0 |  6  8 0  0  0  0 |  4  2  0  0  0  0 | 15  *  *  *  *  * | 2 0  1  0 0 0 | 1 2 0 0
.. x.3o.3o.3o. ..      5  0 | 0 10  0 0  0 |  0 10 0  0  0  0 |  0  5  0  0  0  0 |  * 12  *  *  *  * | 1 1  0  1 0 0 | 1 1 1 0
xx xx3oo .. .. ..&#x   6  6 | 3  6  6 3  6 |  3  2 3  6  3  2 |  1  0  3  2  1  0 |  *  * 20  *  *  * | 0 0  3  0 0 0 | 0 3 0 0
.. xx3oo3oo .. ..&#x   4  4 | 0  6  4 0  6 |  0  4 0  6  0  4 |  0  1  0  4  0  1 |  *  *  * 30  *  * | 0 0  1  2 0 0 | 0 2 1 0
.x .x3.o3.o .. ..      0  8 | 0  0  0 4 12 |  0  0 0  0  6  8 |  0  0  0  0  4  2 |  *  *  *  * 15  * | 0 0  1  0 2 0 | 0 2 0 1
.. .x3.o3.o3.o ..      0  5 | 0  0  0 0 10 |  0  0 0  0  0 10 |  0  0  0  0  0  5 |  *  *  *  *  * 12 | 0 0  0  1 1 1 | 0 1 1 1
---------------------+-------+--------------+------------------+-------------------+-------------------+---------------+--------
x. x.3o.3o.3o. ..     10  0 | 5 20  0 0  0 | 10 20 0  0  0  0 | 10 10  0  0  0  0 |  5  2  0  0  0  0 | 6 *  *  * * * | 1 1 0 0
.. x.3o.3o.3o.3o.      6  0 | 0 15  0 0  0 |  0 20 0  0  0  0 |  0 15  0  0  0  0 |  0  6  0  0  0  0 | * 2  *  * * * | 1 0 1 0
xx xx3oo3oo .. ..&#x   8  8 | 4 12  8 4 12 |  6  8 4 12  6  8 |  4  2  6  8  4  2 |  1  0  4  2  1  0 | * * 15  * * * | 0 2 0 0
.. xx3oo3oo3oo ..&#x   5  5 | 0 10  5 0 10 |  0 10 0 10  0 10 |  0  5  0 10  0  5 |  0  1  0  5  0  1 | * *  * 12 * * | 0 1 1 0
.x .x3.o3.o3.o ..      0 10 | 0  0  0 5 20 |  0  0 0  0 10 20 |  0  0  0  0 10 10 |  0  0  0  0  5  2 | * *  *  * 6 * | 0 1 0 1
.. .x3.o3.o3.o3.o      0  6 | 0  0  0 0 15 |  0  0 0  0  0 20 |  0  0  0  0  0 15 |  0  0  0  0  0  6 | * *  *  * * 2 | 0 0 1 1
---------------------+-------+--------------+------------------+-------------------+-------------------+---------------+--------
x. x.3o.3o.3o.3o.     12  0 | 6 30  0 0  0 | 15 40 0  0  0  0 | 20 30  0  0  0  0 | 15 12  0  0  0  0 | 6 2  0  0 0 0 | 1 * * *
xx xx3oo3oo3oo ..&#x  10 10 | 5 20 10 5 20 | 10 20 5 20 10 20 | 10 10 10 20 10 10 |  5  2 10 10  5  2 | 1 0  5  2 1 0 | * 6 * *
.. xx3oo3oo3oo3oo&#x   6  6 | 0 15  6 0 15 |  0 20 0 15  0 20 |  0 15  0 20  0 15 |  0  6  0 15  0  6 | 0 1  0  6 0 1 | * * 2 *
.x .x3.o3.o3.o3.o      0 12 | 0  0  0 6 30 |  0  0 0  0 15 40 |  0  0  0  0 20 30 |  0  0  0  0 15 12 | 0 0  0  0 6 2 | * * * 1

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