Acronym	rofix
Name	rectified faceted hexacosichoron
Cross sections	©
Circumradius	sqrt[5+2 sqrt(5)] = 3.077684
General of army	rox
Colonel of regiment	rox
Face vector	720, 3600, 2640, 240
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope rofix is isomorphic to rigfix, thereby replacing the pentagons by pentagrams, resp. replacing id by gid and gad by sissid. – As such rofix is a lieutenant.

Incidence matrix according to Dynkin symbol

o3x5o5/2o

. . .   . | 720 ♦   10 |    5   10 |   5   2
----------+-----+------+-----------+--------
. x .   . |   2 | 3600 |    1    2 |   2   1
----------+-----+------+-----------+--------
o3x .   . |   3 |    3 | 1200    * |   2   0
. x5o   . |   5 |    5 |    * 1440 |   1   1
----------+-----+------+-----------+--------
o3x5o   . ♦  30 |   60 |    20  12 | 120   *
. x5o5/2o ♦  12 |   30 |     0  12 |   * 120

o3x5o5/3o

. . .   . | 720 ♦   10 |    5   10 |   5   2
----------+-----+------+-----------+--------
. x .   . |   2 | 3600 |    1    2 |   2   1
----------+-----+------+-----------+--------
o3x .   . |   3 |    3 | 1200    * |   2   0
. x5o   . |   5 |    5 |    * 1440 |   1   1
----------+-----+------+-----------+--------
o3x5o   . ♦  30 |   60 |    20  12 | 120   *
. x5o5/3o ♦  12 |   30 |     0  12 |   * 120

o3x5/4o5/2o

. .   .   . | 720 ♦   10 |    5   10 |   5   2
------------+-----+------+-----------+--------
. x   .   . |   2 | 3600 |    1    2 |   2   1
------------+-----+------+-----------+--------
o3x   .   . |   3 |    3 | 1200    * |   2   0
. x5/4o   . |   5 |    5 |    * 1440 |   1   1
------------+-----+------+-----------+--------
o3x5/4o   . ♦  30 |   60 |    20  12 | 120   *
. x5/4o5/2o ♦  12 |   30 |     0  12 |   * 120

o3x5/4o5/3o

. .   .   . | 720 ♦   10 |    5   10 |   5   2
------------+-----+------+-----------+--------
. x   .   . |   2 | 3600 |    1    2 |   2   1
------------+-----+------+-----------+--------
o3x   .   . |   3 |    3 | 1200    * |   2   0
. x5/4o   . |   5 |    5 |    * 1440 |   1   1
------------+-----+------+-----------+--------
o3x5/4o   . ♦  30 |   60 |    20  12 | 120   *
. x5/4o5/3o ♦  12 |   30 |     0  12 |   * 120

o3/2x5o5/2o

.   . .   . | 720 ♦   10 |    5   10 |   5   2
------------+-----+------+-----------+--------
.   x .   . |   2 | 3600 |    1    2 |   2   1
------------+-----+------+-----------+--------
o3/2x .   . |   3 |    3 | 1200    * |   2   0
.   x5o   . |   5 |    5 |    * 1440 |   1   1
------------+-----+------+-----------+--------
o3/2x5o   . ♦  30 |   60 |    20  12 | 120   *
.   x5o5/2o ♦  12 |   30 |     0  12 |   * 120

o3/2x5o5/3o

.   . .   . | 720 ♦   10 |    5   10 |   5   2
------------+-----+------+-----------+--------
.   x .   . |   2 | 3600 |    1    2 |   2   1
------------+-----+------+-----------+--------
o3/2x .   . |   3 |    3 | 1200    * |   2   0
.   x5o   . |   5 |    5 |    * 1440 |   1   1
------------+-----+------+-----------+--------
o3/2x5o   . ♦  30 |   60 |    20  12 | 120   *
.   x5o5/3o ♦  12 |   30 |     0  12 |   * 120

o3/2x5/4o5/2o

.   .   .   . | 720 ♦   10 |    5   10 |   5   2
--------------+-----+------+-----------+--------
.   x   .   . |   2 | 3600 |    1    2 |   2   1
--------------+-----+------+-----------+--------
o3/2x   .   . |   3 |    3 | 1200    * |   2   0
.   x5/4o   . |   5 |    5 |    * 1440 |   1   1
--------------+-----+------+-----------+--------
o3/2x5/4o   . ♦  30 |   60 |    20  12 | 120   *
.   x5/4o5/2o ♦  12 |   30 |     0  12 |   * 120

o3/2x5/4o5/3o

.   .   .   . | 720 ♦   10 |    5   10 |   5   2
--------------+-----+------+-----------+--------
.   x   .   . |   2 | 3600 |    1    2 |   2   1
--------------+-----+------+-----------+--------
o3/2x   .   . |   3 |    3 | 1200    * |   2   0
.   x5/4o   . |   5 |    5 |    * 1440 |   1   1
--------------+-----+------+-----------+--------
o3/2x5/4o   . ♦  30 |   60 |    20  12 | 120   *
.   x5/4o5/3o ♦  12 |   30 |     0  12 |   * 120