Acronym	gardtaxady
Name	grand retroditetrahedronary hexacosidishecatonicosachoron
Cross sections	©
Circumradius	sqrt[3-sqrt(5)] = 0.874032
General of army	hi
Colonel of regiment	gadtaxady
Face vector	600, 3600, 3840, 840
Confer	blends: gadtef pixady   gaedit pathi   general polytopal classes: Wythoffian polychora
External links

As abstract polytope gardtaxady is isomorphic to sidtaxady, thereby replacing pentagrams by pentagons, resp. gissid by doe and sidtid by gidtid.

Incidence matrix according to Dynkin symbol

o3o3o3x5/3*a3/2*c

. . . .           | 600 |   12 |   12   12 |   4   4   4
------------------+-----+------+-----------+------------
. . . x           |   2 | 3600 |    2    2 |   1   2   1
------------------+-----+------+-----------+------------
o . . x5/3*a      |   5 |    5 | 1440    * |   1   1   0
. . o3x           |   3 |    3 |    * 2400 |   0   1   1
------------------+-----+------+-----------+------------
o3o . x5/3*a      ♦  20 |   30 |   12    0 | 120   *   *
o . o3x5/3*a3/2*c ♦  20 |   60 |   12   20 |   * 120   *
. o3o3x           ♦   4 |    6 |    0    4 |   *   * 600

o3o3o3/2x5/2*a3/2*c

. . .   .           | 600 |   12 |   12   12 |   4   4   4
--------------------+-----+------+-----------+------------
. . .   x           |   2 | 3600 |    2    2 |   1   2   1
--------------------+-----+------+-----------+------------
o . .   x5/2*a      |   5 |    5 | 1440    * |   1   1   0
. . o3/2x           |   3 |    3 |    * 2400 |   0   1   1
--------------------+-----+------+-----------+------------
o3o .   x5/2*a      ♦  20 |   30 |   12    0 | 120   *   *
o . o3/2x5/2*a3/2*c ♦  20 |   60 |   12   20 |   * 120   *
. o3o3/2x           ♦   4 |    6 |    0    4 |   *   * 600

o3o3/2o3x5/2*a3*c

. .   . .         | 600 |   12 |   12   12 |   4   4   4
------------------+-----+------+-----------+------------
. .   . x         |   2 | 3600 |    2    2 |   1   2   1
------------------+-----+------+-----------+------------
o .   . x5/2*a    |   5 |    5 | 1440    * |   1   1   0
. .   o3x         |   3 |    3 |    * 2400 |   0   1   1
------------------+-----+------+-----------+------------
o3o   . x5/2*a    ♦  20 |   30 |   12    0 | 120   *   *
o .   o3x5/2*a3*c ♦  20 |   60 |   12   20 |   * 120   *
. o3/2o3x         ♦   4 |    6 |    0    4 |   *   * 600

o3o3/2o3/2x5/3*a3*c

. .   .   .         | 600 |   12 |   12   12 |   4   4   4
--------------------+-----+------+-----------+------------
. .   .   x         |   2 | 3600 |    2    2 |   1   2   1
--------------------+-----+------+-----------+------------
o .   .   x5/3*a    |   5 |    5 | 1440    * |   1   1   0
. .   o3/2x         |   3 |    3 |    * 2400 |   0   1   1
--------------------+-----+------+-----------+------------
o3o   .   x5/3*a    ♦  20 |   30 |   12    0 | 120   *   *
o .   o3/2x5/3*a3*c ♦  20 |   60 |   12   20 |   * 120   *
. o3/2o3/2x         ♦   4 |    6 |    0    4 |   *   * 600

o3/2o3o3x5/2*a3*c

.   . . .         | 600 |   12 |   12   12 |   4   4   4
------------------+-----+------+-----------+------------
.   . . x         |   2 | 3600 |    2    2 |   1   2   1
------------------+-----+------+-----------+------------
o   . . x5/2*a    |   5 |    5 | 1440    * |   1   1   0
.   . o3x         |   3 |    3 |    * 2400 |   0   1   1
------------------+-----+------+-----------+------------
o3/2o . x5/2*a    ♦  20 |   30 |   12    0 | 120   *   *
o   . o3x5/2*a3*c ♦  20 |   60 |   12   20 |   * 120   *
.   o3o3x         ♦   4 |    6 |    0    4 |   *   * 600

o3/2o3o3/2x5/3*a3*c

.   . .   .         | 600 |   12 |   12   12 |   4   4   4
--------------------+-----+------+-----------+------------
.   . .   x         |   2 | 3600 |    2    2 |   1   2   1
--------------------+-----+------+-----------+------------
o   . .   x5/3*a    |   5 |    5 | 1440    * |   1   1   0
.   . o3/2x         |   3 |    3 |    * 2400 |   0   1   1
--------------------+-----+------+-----------+------------
o3/2o .   x5/3*a    ♦  20 |   30 |   12    0 | 120   *   *
o   . o3/2x5/3*a3*c ♦  20 |   60 |   12   20 |   * 120   *
.   o3o3/2x         ♦   4 |    6 |    0    4 |   *   * 600

o3/2o3/2o3x5/3*a3/2*c

.   .   . .           | 600 |   12 |   12   12 |   4   4   4
----------------------+-----+------+-----------+------------
.   .   . x           |   2 | 3600 |    2    2 |   1   2   1
----------------------+-----+------+-----------+------------
o   .   . x5/3*a      |   5 |    5 | 1440    * |   1   1   0
.   .   o3x           |   3 |    3 |    * 2400 |   0   1   1
----------------------+-----+------+-----------+------------
o3/2o   . x5/3*a      ♦  20 |   30 |   12    0 | 120   *   *
o   .   o3x5/3*a3/2*c ♦  20 |   60 |   12   20 |   * 120   *
.   o3/2o3x           ♦   4 |    6 |    0    4 |   *   * 600

o3/2o3/2o3/2x5/2*a3/2*c

.   .   .   .           | 600 |   12 |   12   12 |   4   4   4
------------------------+-----+------+-----------+------------
.   .   .   x           |   2 | 3600 |    2    2 |   1   2   1
------------------------+-----+------+-----------+------------
o   .   .   x5/2*a      |   5 |    5 | 1440    * |   1   1   0
.   .   o3/2x           |   3 |    3 |    * 2400 |   0   1   1
------------------------+-----+------+-----------+------------
o3/2o   .   x5/2*a      ♦  20 |   30 |   12    0 | 120   *   *
o   .   o3/2x5/2*a3/2*c ♦  20 |   60 |   12   20 |   * 120   *
.   o3/2o3/2x           ♦   4 |    6 |    0    4 |   *   * 600