Acronym	gidtixhi
Name	great ditrigonary hexacosihecatonicosachoron
Cross sections	©
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
Face vector	120, 1200, 2400, 720
Confer	Grünbaumian relatives: gidtixhi+dox   decompositions: pt || gidtixhi   general polytopal classes: Wythoffian polychora
External links

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

From the unit circumradius it follows, when considered with according densities, that then gidtixhi can be thought of as the external blend of 600 pens + 120 ikepies. This decomposition is described as the degenerate segmentoteron ox3oo3oo3/2oo5*b&#x.

Incidence matrix according to Dynkin symbol

x3o3o3o5/4*b

. . . .      | 120 ♦   20 |   60 |  20  12
-------------+-----+------+------+--------
x . . .      |   2 | 1200 |    6 |   3   3
-------------+-----+------+------+--------
x3o . .      |   3 |    3 | 2400 |   1   1
-------------+-----+------+------+--------
x3o3o .      ♦   4 |    6 |    4 | 600   *
x3o . o5/4*b ♦  12 |   30 |   20 |   * 120

x3o3o3/2o5*b

. . .   .    | 120 ♦   20 |   60 |  20  12
-------------+-----+------+------+--------
x . .   .    |   2 | 1200 |    6 |   3   3
-------------+-----+------+------+--------
x3o .   .    |   3 |    3 | 2400 |   1   1
-------------+-----+------+------+--------
x3o3o   .    ♦   4 |    6 |    4 | 600   *
x3o .   o5*b ♦  12 |   30 |   20 |   * 120

x3o3/2o3o5*b

. .   . .    | 120 ♦   20 |   60 |  20  12
-------------+-----+------+------+--------
x .   . .    |   2 | 1200 |    6 |   3   3
-------------+-----+------+------+--------
x3o   . .    |   3 |    3 | 2400 |   1   1
-------------+-----+------+------+--------
x3o3/2o .    ♦   4 |    6 |    4 | 600   *
x3o   . o5*b ♦  12 |   30 |   20 |   * 120

x3o3/2o3/2o5/4*b

. .   .   .      | 120 ♦   20 |   60 |  20  12
-----------------+-----+------+------+--------
x .   .   .      |   2 | 1200 |    6 |   3   3
-----------------+-----+------+------+--------
x3o   .   .      |   3 |    3 | 2400 |   1   1
-----------------+-----+------+------+--------
x3o3/2o   .      ♦   4 |    6 |    4 | 600   *
x3o   .   o5/4*b ♦  12 |   30 |   20 |   * 120

x3/2o3o3o5/4*b

.   . . .      | 120 ♦   20 |   60 |  20  12
---------------+-----+------+------+--------
x   . . .      |   2 | 1200 |    6 |   3   3
---------------+-----+------+------+--------
x3/2o . .      |   3 |    3 | 2400 |   1   1
---------------+-----+------+------+--------
x3/2o3o .      ♦   4 |    6 |    4 | 600   *
x3/2o . o5/4*b ♦  12 |   30 |   20 |   * 120

x3/2o3o3/2o5*b

.   . .   .    | 120 ♦   20 |   60 |  20  12
---------------+-----+------+------+--------
x   . .   .    |   2 | 1200 |    6 |   3   3
---------------+-----+------+------+--------
x3/2o .   .    |   3 |    3 | 2400 |   1   1
---------------+-----+------+------+--------
x3/2o3o   .    ♦   4 |    6 |    4 | 600   *
x3/2o .   o5*b ♦  12 |   30 |   20 |   * 120

x3/2o3/2o3o5*b

.   .   . .    | 120 ♦   20 |   60 |  20  12
---------------+-----+------+------+--------
x   .   . .    |   2 | 1200 |    6 |   3   3
---------------+-----+------+------+--------
x3/2o   . .    |   3 |    3 | 2400 |   1   1
---------------+-----+------+------+--------
x3/2o3/2o .    ♦   4 |    6 |    4 | 600   *
x3/2o   . o5*b ♦  12 |   30 |   20 |   * 120

x3/2o3/2o3/2o5/4*b

.   .   .   .      | 120 ♦   20 |   60 |  20  12
-------------------+-----+------+------+--------
x   .   .   .      |   2 | 1200 |    6 |   3   3
-------------------+-----+------+------+--------
x3/2o   .   .      |   3 |    3 | 2400 |   1   1
-------------------+-----+------+------+--------
x3/2o3/2o   .      ♦   4 |    6 |    4 | 600   *
x3/2o   .   o5/4*b ♦  12 |   30 |   20 |   * 120