Acronym	sirdtaxady
Name	small retroditetrahedronary hexacosidishecatonicosachoron
Cross sections	©
Circumradius	sqrt[3+sqrt(5)] = 2.288246
General of army	hi
Colonel of regiment	sidtaxhi
Face vector	600, 3600, 3840, 840
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope sirdtaxady is isomorphic to gadtaxady, thereby replacing the pentagons by pentagrams, resp. replacing doe by gissid and id by gid. – As such sirdtaxady is a lieutenant.

Incidence matrix according to Dynkin symbol

x3o3o3o5/4*a

. . . .      | 600 |   12 |   12   12 |   4   6   4
-------------+-----+------+-----------+------------
x . . .      |   2 | 3600 |    2    2 |   1   2   1
-------------+-----+------+-----------+------------
x3o . .      |   3 |    3 | 2400    * |   1   1   0
x . . o5/4*a |   5 |    5 |    * 1440 |   0   1   1
-------------+-----+------+-----------+------------
x3o3o .      ♦   4 |    6 |    4    0 | 600   *   *
x3o . o5/4*a ♦  30 |   60 |   20   12 |   * 120   *
x . o3o5/4*a ♦  12 |   30 |    0   12 |   *   * 120

x3o3o3/2o5*a

. . .   .    | 600 |   12 |   12   12 |   4   6   4
-------------+-----+------+-----------+------------
x . .   .    |   2 | 3600 |    2    2 |   1   2   1
-------------+-----+------+-----------+------------
x3o .   .    |   3 |    3 | 2400    * |   1   1   0
x . .   o5*a |   5 |    5 |    * 1440 |   0   1   1
-------------+-----+------+-----------+------------
x3o3o   .    ♦   4 |    6 |    4    0 | 600   *   *
x3o .   o5*a ♦  30 |   60 |   20   12 |   * 120   *
x . o3/2o5*a ♦  12 |   30 |    0   12 |   *   * 120

x3o3/2o3o5*a

. .   . .    | 600 |   12 |   12   12 |   4   6   4
-------------+-----+------+-----------+------------
x .   . .    |   2 | 3600 |    2    2 |   1   2   1
-------------+-----+------+-----------+------------
x3o   . .    |   3 |    3 | 2400    * |   1   1   0
x .   . o5*a |   5 |    5 |    * 1440 |   0   1   1
-------------+-----+------+-----------+------------
x3o3/2o .    ♦   4 |    6 |    4    0 | 600   *   *
x3o   . o5*a ♦  30 |   60 |   20   12 |   * 120   *
x .   o3o5*a ♦  12 |   30 |    0   12 |   *   * 120

x3o3/2o3/2o5/4*a

. .   .   .      | 600 |   12 |   12   12 |   4   6   4
-----------------+-----+------+-----------+------------
x .   .   .      |   2 | 3600 |    2    2 |   1   2   1
-----------------+-----+------+-----------+------------
x3o   .   .      |   3 |    3 | 2400    * |   1   1   0
x .   .   o5/4*a |   5 |    5 |    * 1440 |   0   1   1
-----------------+-----+------+-----------+------------
x3o3/2o   .      ♦   4 |    6 |    4    0 | 600   *   *
x3o   .   o5/4*a ♦  30 |   60 |   20   12 |   * 120   *
x .   o3/2o5/4*a ♦  12 |   30 |    0   12 |   *   * 120

x3/2o3o3o5*a

.   . . .    | 600 |   12 |   12   12 |   4   6   4
-------------+-----+------+-----------+------------
x   . . .    |   2 | 3600 |    2    2 |   1   2   1
-------------+-----+------+-----------+------------
x3/2o . .    |   3 |    3 | 2400    * |   1   1   0
x   . . o5*a |   5 |    5 |    * 1440 |   0   1   1
-------------+-----+------+-----------+------------
x3/2o3o .    ♦   4 |    6 |    4    0 | 600   *   *
x3/2o . o5*a ♦  30 |   60 |   20   12 |   * 120   *
x   . o3o5*a ♦  12 |   30 |    0   12 |   *   * 120

x3/2o3o3/2o5/4*a

.   . .   .      | 600 |   12 |   12   12 |   4   6   4
-----------------+-----+------+-----------+------------
x   . .   .      |   2 | 3600 |    2    2 |   1   2   1
-----------------+-----+------+-----------+------------
x3/2o .   .      |   3 |    3 | 2400    * |   1   1   0
x   . .   o5/4*a |   5 |    5 |    * 1440 |   0   1   1
-----------------+-----+------+-----------+------------
x3/2o3o   .      ♦   4 |    6 |    4    0 | 600   *   *
x3/2o .   o5/4*a ♦  30 |   60 |   20   12 |   * 120   *
x   . o3/2o5/4*a ♦  12 |   30 |    0   12 |   *   * 120

x3/2o3/2o3o5/4*a

.   .   . .      | 600 |   12 |   12   12 |   4   6   4
-----------------+-----+------+-----------+------------
x   .   . .      |   2 | 3600 |    2    2 |   1   2   1
-----------------+-----+------+-----------+------------
x3/2o   . .      |   3 |    3 | 2400    * |   1   1   0
x   .   . o5/4*a |   5 |    5 |    * 1440 |   0   1   1
-----------------+-----+------+-----------+------------
x3/2o3/2o .      ♦   4 |    6 |    4    0 | 600   *   *
x3/2o   . o5/4*a ♦  30 |   60 |   20   12 |   * 120   *
x   .   o3o5/4*a ♦  12 |   30 |    0   12 |   *   * 120

x3/2o3/2o3/2o5*a

.   .   .   .    | 600 |   12 |   12   12 |   4   6   4
-----------------+-----+------+-----------+------------
x   .   .   .    |   2 | 3600 |    2    2 |   1   2   1
-----------------+-----+------+-----------+------------
x3/2o   .   .    |   3 |    3 | 2400    * |   1   1   0
x   .   .   o5*a |   5 |    5 |    * 1440 |   0   1   1
-----------------+-----+------+-----------+------------
x3/2o3/2o   .    ♦   4 |    6 |    4    0 | 600   *   *
x3/2o   .   o5*a ♦  30 |   60 |   20   12 |   * 120   *
x   .   o3/2o5*a ♦  12 |   30 |    0   12 |   *   * 120