3ex+2fix+gaghi

Acronym	...
Name	3ex+2fix+gaghi (?)
Circumradius	(1+sqrt(5))/2 = 1.618034
General of army	ex
Colonel of regiment	ex
Confer	non-Grünbaumian masters: ex fix gaghi Grünbaumian relatives: ex+fix 2ex 2ex+fix 3ex+fix 2fix general polytopal classes: Wythoffian polychora

Looks like a compound of 3 coincident exes with 2 coincident fixes and a gaghi, but the vertices coincide by 30, edges coincide by 10, {3}s by 5, tets by 3, and ikes coincide by pairs.

Incidence matrix according to Dynkin symbol

o3x3/2x5o

. .   . . | 3600 |    2    2 |    1    4   1 |   2   2
----------+------+-----------+---------------+--------
. x   . . |    2 | 3600    * |    1    2   0 |   2   1
. .   x . |    2 |    * 3600 |    0    2   1 |   1   2
----------+------+-----------+---------------+--------
o3x   . . |    3 |    3    0 | 1200    *   * |   2   0
. x3/2x . |    6 |    3    3 |    * 2400   * |   1   1
. .   x5o |    5 |    0    5 |    *    * 720 |   0   2
----------+------+-----------+---------------+--------
o3x3/2x . ♦   12 |   12    6 |    4    4   0 | 600   *
. x3/2x5o ♦   60 |   30   60 |    0   20  12 |   * 120

o3x3/2x5/4o

. .   .   . | 3600 |    2    2 |    1    4   1 |   2   2
------------+------+-----------+---------------+--------
. x   .   . |    2 | 3600    * |    1    2   0 |   2   1
. .   x   . |    2 |    * 3600 |    0    2   1 |   1   2
------------+------+-----------+---------------+--------
o3x   .   . |    3 |    3    0 | 1200    *   * |   2   0
. x3/2x   . |    6 |    3    3 |    * 2400   * |   1   1
. .   x5/4o |    5 |    0    5 |    *    * 720 |   0   2
------------+------+-----------+---------------+--------
o3x3/2x   . ♦   12 |   12    6 |    4    4   0 | 600   *
. x3/2x5/4o ♦   60 |   30   60 |    0   20  12 |   * 120

o3/2x3/2x5o

.   .   . . | 3600 |    2    2 |    1    4   1 |   2   2
------------+------+-----------+---------------+--------
.   x   . . |    2 | 3600    * |    1    2   0 |   2   1
.   .   x . |    2 |    * 3600 |    0    2   1 |   1   2
------------+------+-----------+---------------+--------
o3/2x   . . |    3 |    3    0 | 1200    *   * |   2   0
.   x3/2x . |    6 |    3    3 |    * 2400   * |   1   1
.   .   x5o |    5 |    0    5 |    *    * 720 |   0   2
------------+------+-----------+---------------+--------
o3/2x3/2x . ♦   12 |   12    6 |    4    4   0 | 600   *
.   x3/2x5o ♦   60 |   30   60 |    0   20  12 |   * 120

o3/2x3/2x5/4o

.   .   .   . | 3600 |    2    2 |    1    4   1 |   2   2
--------------+------+-----------+---------------+--------
.   x   .   . |    2 | 3600    * |    1    2   0 |   2   1
.   .   x   . |    2 |    * 3600 |    0    2   1 |   1   2
--------------+------+-----------+---------------+--------
o3/2x   .   . |    3 |    3    0 | 1200    *   * |   2   0
.   x3/2x   . |    6 |    3    3 |    * 2400   * |   1   1
.   .   x5/4o |    5 |    0    5 |    *    * 720 |   0   2
--------------+------+-----------+---------------+--------
o3/2x3/2x   . ♦   12 |   12    6 |    4    4   0 | 600   *
.   x3/2x5/4o ♦   60 |   30   60 |    0   20  12 |   * 120

o3(-x)3x5o

.   .  . . | 3600 |    2    2 |    1    4   1 |   2   2
-----------+------+-----------+---------------+--------
.  -x  . . |    2 | 3600    * |    1    2   0 |   2   1
.   .  x . |    2 |    * 3600 |    0    2   1 |   1   2
-----------+------+-----------+---------------+--------
o3(-x) . . |    3 |    3    0 | 1200    *   * |   2   0
. (-x)3x . |    6 |    3    3 |    * 2400   * |   1   1
.   .  x5o |    5 |    0    5 |    *    * 720 |   0   2
-----------+------+-----------+---------------+--------
o3(-x)3x . ♦   12 |   12    6 |    4    4   0 | 600   *
. (-x)3x5o ♦   60 |   30   60 |    0   20  12 |   * 120

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