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 12000060000
ridhi 12000001200
papvixhi 01200000600
raghi 01201200000
froghi 00120000600
mriphi 000120000
giprapivady 00001201200
& others)
Face vector 720, 3600, 2160, 240
Confer
general polytopal classes:
Wythoffian polychora  
External
links
hedrondude   polytopewiki   WikiChoron

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

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