Acronym	riggidtixhi
Name	rectified great ditrigonary hexacosihecatonicosachoron
Cross sections	©
Circumradius	sqrt(3) = 1.732051
General of army	rahi
Colonel of regiment	rissidtixhi
Face vector	1200, 7200, 6420, 840
Confer	general polytopal classes: Wythoffian polychora
External links

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

Incidence matrix according to Dynkin symbol

o3x3o3o5/4*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 . o5/4*b |    5 |    5 |    *    * 1440 |   0   1   1
-------------+------+------+----------------+------------
o3x3o .      ♦    6 |   12 |    4    4    0 | 600   *   *
o3x . o5/4*b ♦   30 |   60 |   20    0   12 |   * 120   *
. x3o3o5/4*b ♦   20 |   60 |    0   20   12 |   *   * 120

o3x3o3/2o5*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*b |    5 |    5 |    *    * 1440 |   0   1   1
-------------+------+------+----------------+------------
o3x3o   .    ♦    6 |   12 |    4    4    0 | 600   *   *
o3x .   o5*b ♦   30 |   60 |   20    0   12 |   * 120   *
. x3o3/2o5*b ♦   20 |   60 |    0   20   12 |   *   * 120

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

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

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

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

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

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