Acronym	raghi
Name	rectified grand hecatonicosachoron
Cross sections	©
Circumradius	sqrt[(5+sqrt(5))/2] = 1.902113
General of army	rox
Colonel of regiment	righi
Face vector	720, 3600, 3120, 240
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope raghi is isomorphic to ragishi, thereby replacing the pentagons by pentagrams, resp. replacing id by gid and gike by ike. – As such raghi is a lieutenant.

Incidence matrix according to Dynkin symbol

o5x3o5/2o

. . .   . | 720 ♦   10 |   5   10 |   5   2
----------+-----+------+----------+--------
. x .   . |   2 | 3600 |   1    2 |   2   1
----------+-----+------+----------+--------
o5x .   . |   5 |    5 | 720    * |   2   0
. x3o   . |   3 |    3 |   * 2400 |   1   1
----------+-----+------+----------+--------
o5x3o   . ♦  30 |   60 |   12  20 | 120   *
. x3o5/2o ♦  12 |   30 |    0  20 |   * 120

o5x3o5/3o

. . .   . | 720 ♦   10 |   5   10 |   5   2
----------+-----+------+----------+--------
. x .   . |   2 | 3600 |   1    2 |   2   1
----------+-----+------+----------+--------
o5x .   . |   5 |    5 | 720    * |   2   0
. x3o   . |   3 |    3 |   * 2400 |   1   1
----------+-----+------+----------+--------
o5x3o   . ♦  30 |   60 |   12  20 | 120   *
. x3o5/3o ♦  12 |   30 |    0  20 |   * 120

o5x3/2o5/2o

. .   .   . | 720 ♦   10 |   5   10 |   5   2
------------+-----+------+----------+--------
. x   .   . |   2 | 3600 |   1    2 |   2   1
------------+-----+------+----------+--------
o5x   .   . |   5 |    5 | 720    * |   2   0
. x3/2o   . |   3 |    3 |   * 2400 |   1   1
------------+-----+------+----------+--------
o5x3/2o   . ♦  30 |   60 |   12  20 | 120   *
. x3/2o5/2o ♦  12 |   30 |    0  20 |   * 120

o5x3/2o5/3o

. .   .   . | 720 ♦   10 |   5   10 |   5   2
------------+-----+------+----------+--------
. x   .   . |   2 | 3600 |   1    2 |   2   1
------------+-----+------+----------+--------
o5x   .   . |   5 |    5 | 720    * |   2   0
. x3/2o   . |   3 |    3 |   * 2400 |   1   1
------------+-----+------+----------+--------
o5x3/2o   . ♦  30 |   60 |   12  20 | 120   *
. x3/2o5/3o ♦  12 |   30 |    0  20 |   * 120

o5/4x3o5/2o

.   . .   . | 720 ♦   10 |   5   10 |   5   2
------------+-----+------+----------+--------
.   x .   . |   2 | 3600 |   1    2 |   2   1
------------+-----+------+----------+--------
o5/4x .   . |   5 |    5 | 720    * |   2   0
.   x3o   . |   3 |    3 |   * 2400 |   1   1
------------+-----+------+----------+--------
o5/4x3o   . ♦  30 |   60 |   12  20 | 120   *
.   x3o5/2o ♦  12 |   30 |    0  20 |   * 120

o5/4x3o5/3o

.   . .   . | 720 ♦   10 |   5   10 |   5   2
------------+-----+------+----------+--------
.   x .   . |   2 | 3600 |   1    2 |   2   1
------------+-----+------+----------+--------
o5/4x .   . |   5 |    5 | 720    * |   2   0
.   x3o   . |   3 |    3 |   * 2400 |   1   1
------------+-----+------+----------+--------
o5/4x3o   . ♦  30 |   60 |   12  20 | 120   *
.   x3o5/3o ♦  12 |   30 |    0  20 |   * 120

o5/4x3/2o5/2o

.   .   .   . | 720 ♦   10 |   5   10 |   5   2
--------------+-----+------+----------+--------
.   x   .   . |   2 | 3600 |   1    2 |   2   1
--------------+-----+------+----------+--------
o5/4x   .   . |   5 |    5 | 720    * |   2   0
.   x3/2o   . |   3 |    3 |   * 2400 |   1   1
--------------+-----+------+----------+--------
o5/4x3/2o   . ♦  30 |   60 |   12  20 | 120   *
.   x3/2o5/2o ♦  12 |   30 |    0  20 |   * 120

o5/4x3/2o5/3o

.   .   .   . | 720 ♦   10 |   5   10 |   5   2
--------------+-----+------+----------+--------
.   x   .   . |   2 | 3600 |   1    2 |   2   1
--------------+-----+------+----------+--------
o5/4x   .   . |   5 |    5 | 720    * |   2   0
.   x3/2o   . |   3 |    3 |   * 2400 |   1   1
--------------+-----+------+----------+--------
o5/4x3/2o   . ♦  30 |   60 |   12  20 | 120   *
.   x3/2o5/3o ♦  12 |   30 |    0  20 |   * 120