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: cube ditdid gaddid gid gidtid gird gissid qrid quit sissid sidtid stiddip stip tet trip
gadtachi 600000012000000000
gefradit thix (exotic) 0120120000001200006000
gard tadhix 01201200000000006000
gadatady 012000001200000000
gadtifady (fissary) 001201200000000000
gefidtethi (exotic) 0012001200120012000000
gardatathi 00120012001200000000
gaid tathi 00012012001200000000
gadtaxady 00012000120000006000
gardatady 000120000001200000
gadtaxhi 000012000000006000
gaedit pathi (exotic) 0000001201200120072000
gadathiphi 000000120120000001200
gardtaxady 00000012000120006000
quad pagaxhi (fissary) 00000012000007206001200
gadtef pixady (exotic) 00000001200120006001200
gardtapaxhi 00000001200007206000
gitphi (fissary) 0000000012000000
gadtap (compound) 0000000000720000
& others)
Face vector 600, 3600, 3840, 840
Confer
general polytopal classes:
Wythoffian polychora  
External
links
hedrondude   polytopewiki   WikiChoron  

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

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