Acronym	rissidtixhi
Name	rectified small ditrigonary hexacosihecatonicosachoron
Cross sections	©
Circumradius	sqrt(3) = 1.732051
General of army	rahi
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: co dip ditdid gid gidditdid giddy gidtid giid id ided oct oho quitdid raded ri sidditdid siddy sidtid siid stiddip toe stoditpix 600 720 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 todithix 600 0 0 0 0 0 0 0 0 0 0 0 120 0 0 0 0 0 0 0 0 gotditpix 600 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 720 0 gidditpix 0 720 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 600 ridtidohi 0 0 120 120 0 0 0 0 120 0 0 0 0 0 0 0 0 0 0 0 0 ridditdy 0 0 120 0 0 0 0 0 0 0 0 0 0 120 0 0 0 0 0 0 0 gidthidy hi 0 0 0 120 0 120 0 0 120 120 0 0 0 0 0 0 0 0 0 0 0 siddit thix 0 0 0 120 0 120 0 0 0 0 600 0 0 0 0 0 0 0 120 0 0 efdit xithi (exotic) 0 0 0 120 0 0 0 0 120 120 0 600 0 0 0 0 0 0 0 0 0 sidthidy hi 0 0 0 120 0 0 0 0 120 120 0 0 0 0 0 0 120 0 0 0 0 sefdit dixdy (exotic) 0 0 0 120 0 0 0 0 0 0 600 600 0 0 0 0 0 0 120 0 0 middit thix 0 0 0 120 0 0 0 0 0 0 600 0 0 0 120 0 0 0 120 0 0 rissidtixhi 0 0 0 120 0 0 0 0 0 0 600 0 0 0 0 0 0 120 0 0 0 gidditdy 0 0 0 0 120 0 120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 gotdatixhi 0 0 0 0 0 120 0 0 0 0 0 600 0 0 0 0 0 0 0 0 0 riggidtixhi 0 0 0 0 0 0 120 0 120 0 600 0 0 0 0 0 0 0 0 0 0 gefdit dixdy (exotic) 0 0 0 0 0 0 0 120 120 0 600 600 0 0 0 0 0 0 0 0 0 gaddit thix 0 0 0 0 0 0 0 120 120 0 600 0 0 0 120 0 0 0 0 0 0 giddit thix 0 0 0 0 0 0 0 120 120 0 600 0 0 0 0 0 120 0 0 0 0 todtixhi 0 0 0 0 0 0 0 0 0 0 0 600 0 0 120 0 0 0 0 0 0 stodatixhi 0 0 0 0 0 0 0 0 0 0 0 600 0 0 0 0 120 0 0 0 0 dithix 0 0 0 0 0 0 0 0 0 0 0 0 120 0 0 0 0 0 0 0 600 sidditdy 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 120 0 120 0 0 0 sidditpix 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 720 600 & others)
Face vector	1200, 7200, 6240, 840
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope rissidtixhi is isomorphic to riggidtixhi, thereby replacing the pentagrams by pentagons, resp. replacing the gid by id and the sidtid by gidtid.

Incidence matrix according to Dynkin symbol

o3x3o3o5/2*b

. . . .      | 1200 |   12 |    6    6    6 |   3   3   2
-------------+------+------+----------------+------------
. x . .      |    2 | 7200 |    1    1    1 |   1   1   1
-------------+------+------+----------------+------------
o3x . .      |    3 |    3 | 2400    *    * |   1   1   0
. x3o .      |    3 |    3 |    * 2400    * |   1   0   1
. x . o5/2*b |    5 |    5 |    *    * 1440 |   0   1   1
-------------+------+------+----------------+------------
o3x3o .      ♦    6 |   12 |    4    4    0 | 600   *   *
o3x . o5/2*b ♦   30 |   60 |   20    0   12 |   * 120   *
. x3o3o5/2*b ♦   20 |   60 |    0   20   12 |   *   * 120

o3x3o3/2o5/3*b

. . .   .      | 1200 |   12 |    6    6    6 |   3   3   2
---------------+------+------+----------------+------------
. x .   .      |    2 | 7200 |    1    1    1 |   1   1   1
---------------+------+------+----------------+------------
o3x .   .      |    3 |    3 | 2400    *    * |   1   1   0
. x3o   .      |    3 |    3 |    * 2400    * |   1   0   1
. x .   o5/3*b |    5 |    5 |    *    * 1440 |   0   1   1
---------------+------+------+----------------+------------
o3x3o   .      ♦    6 |   12 |    4    4    0 | 600   *   *
o3x .   o5/3*b ♦   30 |   60 |   20    0   12 |   * 120   *
. x3o3/2o5/3*b ♦   20 |   60 |    0   20   12 |   *   * 120

o3x3/2o3o5/3*b

. .   . .      | 1200 |   12 |    6    6    6 |   3   3   2
---------------+------+------+----------------+------------
. x   . .      |    2 | 7200 |    1    1    1 |   1   1   1
---------------+------+------+----------------+------------
o3x   . .      |    3 |    3 | 2400    *    * |   1   1   0
. x3/2o .      |    3 |    3 |    * 2400    * |   1   0   1
. x   . o5/3*b |    5 |    5 |    *    * 1440 |   0   1   1
---------------+------+------+----------------+------------
o3x3/2o .      ♦    6 |   12 |    4    4    0 | 600   *   *
o3x   . o5/3*b ♦   30 |   60 |   20    0   12 |   * 120   *
. x3/2o3o5/3*b ♦   20 |   60 |    0   20   12 |   *   * 120

o3x3/2o3/2o5/2*b

. .   .   .      | 1200 |   12 |    6    6    6 |   3   3   2
-----------------+------+------+----------------+------------
. x   .   .      |    2 | 7200 |    1    1    1 |   1   1   1
-----------------+------+------+----------------+------------
o3x   .   .      |    3 |    3 | 2400    *    * |   1   1   0
. x3/2o   .      |    3 |    3 |    * 2400    * |   1   0   1
. x   .   o5/2*b |    5 |    5 |    *    * 1440 |   0   1   1
-----------------+------+------+----------------+------------
o3x3/2o   .      ♦    6 |   12 |    4    4    0 | 600   *   *
o3x   .   o5/2*b ♦   30 |   60 |   20    0   12 |   * 120   *
. x3/2o3/2o5/2*b ♦   20 |   60 |    0   20   12 |   *   * 120

o3/2x3o3o5/2*b

.   . . .      | 1200 |   12 |    6    6    6 |   3   3   2
---------------+------+------+----------------+------------
.   x . .      |    2 | 7200 |    1    1    1 |   1   1   1
---------------+------+------+----------------+------------
o3/2x . .      |    3 |    3 | 2400    *    * |   1   1   0
.   x3o .      |    3 |    3 |    * 2400    * |   1   0   1
.   x . o5/2*b |    5 |    5 |    *    * 1440 |   0   1   1
---------------+------+------+----------------+------------
o3/2x3o .      ♦    6 |   12 |    4    4    0 | 600   *   *
o3/2x . o5/2*b ♦   30 |   60 |   20    0   12 |   * 120   *
.   x3o3o5/2*b ♦   20 |   60 |    0   20   12 |   *   * 120

o3/2x3o3/2o5/3*b

.   . .   .      | 1200 |   12 |    6    6    6 |   3   3   2
-----------------+------+------+----------------+------------
.   x .   .      |    2 | 7200 |    1    1    1 |   1   1   1
-----------------+------+------+----------------+------------
o3/2x .   .      |    3 |    3 | 2400    *    * |   1   1   0
.   x3o   .      |    3 |    3 |    * 2400    * |   1   0   1
.   x .   o5/3*b |    5 |    5 |    *    * 1440 |   0   1   1
-----------------+------+------+----------------+------------
o3/2x3o   .      ♦    6 |   12 |    4    4    0 | 600   *   *
o3/2x .   o5/3*b ♦   30 |   60 |   20    0   12 |   * 120   *
.   x3o3/2o5/3*b ♦   20 |   60 |    0   20   12 |   *   * 120

o3/2x3/2o3o5/3*b

.   .   . .      | 1200 |   12 |    6    6    6 |   3   3   2
-----------------+------+------+----------------+------------
.   x   . .      |    2 | 7200 |    1    1    1 |   1   1   1
-----------------+------+------+----------------+------------
o3/2x   . .      |    3 |    3 | 2400    *    * |   1   1   0
.   x3/2o .      |    3 |    3 |    * 2400    * |   1   0   1
.   x   . o5/3*b |    5 |    5 |    *    * 1440 |   0   1   1
-----------------+------+------+----------------+------------
o3/2x3/2o .      ♦    6 |   12 |    4    4    0 | 600   *   *
o3/2x   . o5/3*b ♦   30 |   60 |   20    0   12 |   * 120   *
.   x3/2o3o5/3*b ♦   20 |   60 |    0   20   12 |   *   * 120

o3/2x3/2o3/2o5/2*b

.   .   .   .      | 1200 |   12 |    6    6    6 |   3   3   2
-------------------+------+------+----------------+------------
.   x   .   .      |    2 | 7200 |    1    1    1 |   1   1   1
-------------------+------+------+----------------+------------
o3/2x   .   .      |    3 |    3 | 2400    *    * |   1   1   0
.   x3/2o   .      |    3 |    3 |    * 2400    * |   1   0   1
.   x   .   o5/2*b |    5 |    5 |    *    * 1440 |   0   1   1
-------------------+------+------+----------------+------------
o3/2x3/2o   .      ♦    6 |   12 |    4    4    0 | 600   *   *
o3/2x   .   o5/2*b ♦   30 |   60 |   20    0   12 |   * 120   *
.   x3/2o3/2o5/2*b ♦   20 |   60 |    0   20   12 |   *   * 120