Acronym	righi
Name	rectified great hecatonicosachoron
Cross sections	©
Circumradius	sqrt[(5+sqrt(5))/2] = 1.902113
General of army	rox
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: did gike id siddy sissid tigid tut righi 120 0 0 0 600 0 0 giprapivady 120 0 0 0 0 120 0 papvixhi 0 120 0 0 0 0 600 raghi 0 120 120 0 0 0 0 mriphi 0 0 0 120 0 0 0 & others)
Face vector	720, 3600, 2160, 240
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope righi is isomorphic to ragashi, thereby interchanging the roles of pentagrams and pentagons, resp. replacing sissid by gad.

Incidence matrix according to Dynkin symbol

o5x5/2o5o

. .   . . | 720 ♦   10 |   5   10 |   5   2
----------+-----+------+----------+--------
. x   . . |   2 | 3600 |   1    2 |   2   1
----------+-----+------+----------+--------
o5x   . . |   5 |    5 | 720    * |   2   0
. x5/2o . |   5 |    5 |   * 1440 |   1   1
----------+-----+------+----------+--------
o5x5/2o . ♦  30 |   60 |   12  12 | 120   *
. x5/2o5o ♦  12 |   30 |    0  12 |   * 120

o5x5/2o5/4o

. .   .   . | 720 ♦   10 |   5   10 |   5   2
------------+-----+------+----------+--------
. x   .   . |   2 | 3600 |   1    2 |   2   1
------------+-----+------+----------+--------
o5x   .   . |   5 |    5 | 720    * |   2   0
. x5/2o   . |   5 |    5 |   * 1440 |   1   1
------------+-----+------+----------+--------
o5x5/2o   . ♦  30 |   60 |   12  12 | 120   *
. x5/2o5/4o ♦  12 |   30 |    0  12 |   * 120

o5x5/3o5o

. .   . . | 720 ♦   10 |   5   10 |   5   2
----------+-----+------+----------+--------
. x   . . |   2 | 3600 |   1    2 |   2   1
----------+-----+------+----------+--------
o5x   . . |   5 |    5 | 720    * |   2   0
. x5/3o . |   5 |    5 |   * 1440 |   1   1
----------+-----+------+----------+--------
o5x5/3o . ♦  30 |   60 |   12  12 | 120   *
. x5/3o5o ♦  12 |   30 |    0  12 |   * 120

o5x5/3o5/4o

. .   .   . | 720 ♦   10 |   5   10 |   5   2
------------+-----+------+----------+--------
. x   .   . |   2 | 3600 |   1    2 |   2   1
------------+-----+------+----------+--------
o5x   .   . |   5 |    5 | 720    * |   2   0
. x5/3o   . |   5 |    5 |   * 1440 |   1   1
------------+-----+------+----------+--------
o5x5/3o   . ♦  30 |   60 |   12  12 | 120   *
. x5/3o5/4o ♦  12 |   30 |    0  12 |   * 120

o5/4x5/2o5o

.   .   . . | 720 ♦   10 |   5   10 |   5   2
------------+-----+------+----------+--------
.   x   . . |   2 | 3600 |   1    2 |   2   1
------------+-----+------+----------+--------
o5/4x   . . |   5 |    5 | 720    * |   2   0
.   x5/2o . |   5 |    5 |   * 1440 |   1   1
------------+-----+------+----------+--------
o5/4x5/2o . ♦  30 |   60 |   12  12 | 120   *
.   x5/2o5o ♦  12 |   30 |    0  12 |   * 120

o5/4x5/2o5/4o

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

o5/4x5/3o5o

.   .   . . | 720 ♦   10 |   5   10 |   5   2
------------+-----+------+----------+--------
.   x   . . |   2 | 3600 |   1    2 |   2   1
------------+-----+------+----------+--------
o5/4x   . . |   5 |    5 | 720    * |   2   0
.   x5/3o . |   5 |    5 |   * 1440 |   1   1
------------+-----+------+----------+--------
o5/4x5/3o . ♦  30 |   60 |   12  12 | 120   *
.   x5/3o5o ♦  12 |   30 |    0  12 |   * 120

o5/4x5/3o5/4o

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