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) 12012000001200006000
gard tadhix 120120000000006000
gadatady 1200001200000000
gadtifady (fissary) 0120120000000000
gefidtethi (exotic) 01200120120012000000
gardatathi 012001201200000000
gadtaxady 001200120000006000
gardatady 0012000001200000
gadtaxhi 0001200000006000
gaedit pathi (exotic) 00001201200120072000
gadathiphi 0000120120000001200
gardtaxady 000012000120006000
quad pagaxhi (fissary) 000012000007206001200
gadtef pixady (exotic) 000001200120006001200
gardtapaxhi 000001200007206000
gitphi (fissary) 00000012000000
gadtap (compound) 00000000720000
& others)
External
links
hedrondude   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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