gidtixhi+dox

Acronym	...
Name	gidtixhi+dox (?)
Circumradius	1
Coordinates	(1, 0, 0, 0) & all permutations, all changes of sign (vertex inscribed q-hex) (1/2, 1/2, 1/2, 1/2) & all permutations, all changes of sign (vertex inscribed tes) ((1+sqrt(5))/4, (sqrt(5)-1)/4, 1/4, 0) & all even permutations, all changes of sign (vertex inscribed v-sadi)
General of army	ex
Colonel of regiment	sishi
Confer	non-Grünbaumian master: gidtixhi dox general polytopal classes: Wythoffian polychora

Looks like a compound of gidtixhi and dox. Its vertex figure is the already degenerate gicdatrid. Accordingly the edges coincide by 3. Also the 2 classes of triangles coincide one by one.

As abstract polytope gidtixhi+dox is isomorphic to sidtixhi+dox, thereby replacing ike by gike.

Incidence matrix according to Dynkin symbol

x3o5o3o3/2*a

. . . .      | 120 ♦   60 |   60   60 |  12  30  20
-------------+-----+------+-----------+------------
x . . .      |   2 | 3600 |    2    2 |   1   2   1
-------------+-----+------+-----------+------------
x3o . .      |   3 |    3 | 2400    * |   1   1   0
x . . o3/2*a |   3 |    3 |    * 2400 |   0   1   1
-------------+-----+------+-----------+------------
x3o5o .      ♦  12 |   30 |   20    0 | 120   *   *
x3o . o3/2*a ♦   6 |   12 |    4    4 |   * 600   *
x . o3o3/2*a ♦   4 |    6 |    0    4 |   *   * 600

x3o5o3/2o3*a

. . .   .    | 120 ♦   60 |   60   60 |  12  30  20
-------------+-----+------+-----------+------------
x . .   .    |   2 | 3600 |    2    2 |   1   2   1
-------------+-----+------+-----------+------------
x3o .   .    |   3 |    3 | 2400    * |   1   1   0
x . .   o3*a |   3 |    3 |    * 2400 |   0   1   1
-------------+-----+------+-----------+------------
x3o5o   .    ♦  12 |   30 |   20    0 | 120   *   *
x3o .   o3*a ♦   6 |   12 |    4    4 |   * 600   *
x . o3/2o3*a ♦   4 |    6 |    0    4 |   *   * 600

x3o5/4o3o3*a

. .   . .    | 120 ♦   60 |   60   60 |  12  30  20
-------------+-----+------+-----------+------------
x .   . .    |   2 | 3600 |    2    2 |   1   2   1
-------------+-----+------+-----------+------------
x3o   . .    |   3 |    3 | 2400    * |   1   1   0
x .   . o3*a |   3 |    3 |    * 2400 |   0   1   1
-------------+-----+------+-----------+------------
x3o5/4o .    ♦  12 |   30 |   20    0 | 120   *   *
x3o   . o3*a ♦   6 |   12 |    4    4 |   * 600   *
x .   o3o3*a ♦   4 |    6 |    0    4 |   *   * 600

x3/2o5o3o3*a

.   . . .    | 120 ♦   60 |   60   60 |  12  30  20
-------------+-----+------+-----------+------------
x   . . .    |   2 | 3600 |    2    2 |   1   2   1
-------------+-----+------+-----------+------------
x3/2o . .    |   3 |    3 | 2400    * |   1   1   0
x   . . o3*a |   3 |    3 |    * 2400 |   0   1   1
-------------+-----+------+-----------+------------
x3/2o5o .    ♦  12 |   30 |   20    0 | 120   *   *
x3/2o . o3*a ♦   6 |   12 |    4    4 |   * 600   *
x   . o3o3*a ♦   4 |    6 |    0    4 |   *   * 600

x3o5/4o3/2o3/2*a

. .   .   .      | 120 ♦   60 |   60   60 |  12  30  20
-----------------+-----+------+-----------+------------
x .   .   .      |   2 | 3600 |    2    2 |   1   2   1
-----------------+-----+------+-----------+------------
x3o   .   .      |   3 |    3 | 2400    * |   1   1   0
x .   .   o3/2*a |   3 |    3 |    * 2400 |   0   1   1
-----------------+-----+------+-----------+------------
x3o5/4o   .      ♦  12 |   30 |   20    0 | 120   *   *
x3o   .   o3/2*a ♦   6 |   12 |    4    4 |   * 600   *
x .   o3/2o3/2*a ♦   4 |    6 |    0    4 |   *   * 600

x3/2o5o3/2o3/2*a

.   . .   .      | 120 ♦   60 |   60   60 |  12  30  20
-----------------+-----+------+-----------+------------
x   . .   .      |   2 | 3600 |    2    2 |   1   2   1
-----------------+-----+------+-----------+------------
x3/2o .   .      |   3 |    3 | 2400    * |   1   1   0
x   . .   o3/2*a |   3 |    3 |    * 2400 |   0   1   1
-----------------+-----+------+-----------+------------
x3/2o5o   .      ♦  12 |   30 |   20    0 | 120   *   *
x3/2o .   o3/2*a ♦   6 |   12 |    4    4 |   * 600   *
x   . o3/2o3/2*a ♦   4 |    6 |    0    4 |   *   * 600

x3/2o5/4o3o3/2*a

.   .   . .      | 120 ♦   60 |   60   60 |  12  30  20
-----------------+-----+------+-----------+------------
x   .   . .      |   2 | 3600 |    2    2 |   1   2   1
-----------------+-----+------+-----------+------------
x3/2o   . .      |   3 |    3 | 2400    * |   1   1   0
x   .   . o3/2*a |   3 |    3 |    * 2400 |   0   1   1
-----------------+-----+------+-----------+------------
x3/2o5/4o .      ♦  12 |   30 |   20    0 | 120   *   *
x3/2o   . o3/2*a ♦   6 |   12 |    4    4 |   * 600   *
x   .   o3o3/2*a ♦   4 |    6 |    0    4 |   *   * 600

x3/2o5/4o3/2o3*a

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

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