Acronym	gadtaxady
Name	grand ditetrahedronary hexacosadishecatonicosachoron
Cross sections	©
Circumradius	sqrt[3-sqrt(5)] = 0.874032
General of army	hi
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: ditdid gaddid gid gidtid gissid qrid quit sissid sidtid stiddip stip tet trip gefradit thix (exotic) 120 120 0 0 0 0 120 0 0 0 600 0 gard tadhix 120 120 0 0 0 0 0 0 0 0 600 0 gadatady 120 0 0 0 120 0 0 0 0 0 0 0 gadtifady (fissary) 0 120 120 0 0 0 0 0 0 0 0 0 gefidtethi (exotic) 0 120 0 120 120 0 120 0 0 0 0 0 gardatathi 0 120 0 120 120 0 0 0 0 0 0 0 gaid tathi 0 0 120 120 120 0 0 0 0 0 0 0 gadtaxady 0 0 120 0 120 0 0 0 0 0 600 0 gardatady 0 0 120 0 0 0 0 120 0 0 0 0 gadtaxhi 0 0 0 120 0 0 0 0 0 0 600 0 gaedit pathi (exotic) 0 0 0 0 120 120 0 120 0 720 0 0 gadathiphi 0 0 0 0 120 120 0 0 0 0 0 1200 gardtaxady 0 0 0 0 120 0 0 120 0 0 600 0 quad pagaxhi (fissary) 0 0 0 0 120 0 0 0 0 720 600 1200 gadtef pixady (exotic) 0 0 0 0 0 120 0 120 0 0 600 1200 gardtapaxhi 0 0 0 0 0 120 0 0 0 720 600 0 gitphi (fissary) 0 0 0 0 0 0 120 0 0 0 0 0 gadtap (compound) 0 0 0 0 0 0 0 0 720 0 0 0 & others)
Face vector	600, 3600, 3840, 840
Confer	general polytopal classes: Wythoffian polychora
External links

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

Incidence matrix according to Dynkin symbol

x3o3o3o5/2*a

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

x3o3o3/2o5/3*a

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

x3o3/2o3o5/3*a

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

x3o3/2o3/2o5/2*a

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

x3/2o3o3o5/3*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   . . o5/3*a |   5 |    5 |    * 1440 |   0   1   1
---------------+-----+------+-----------+------------
x3/2o3o .      ♦   4 |    6 |    4    0 | 600   *   *
x3/2o . o5/3*a ♦  30 |   60 |   20   12 |   * 120   *
x   . o3o5/3*a ♦  20 |   30 |    0   12 |   *   * 120

x3/2o3o3/2o5/2*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   . .   o5/2*a |   5 |    5 |    * 1440 |   0   1   1
-----------------+-----+------+-----------+------------
x3/2o3o   .      ♦   4 |    6 |    4    0 | 600   *   *
x3/2o .   o5/2*a ♦  30 |   60 |   20   12 |   * 120   *
x   . o3/2o5/2*a ♦  20 |   30 |    0   12 |   *   * 120

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

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