Acronym	gitpodady
Name	great (intersected) tripesic dodecahedronary dishecatonicosachoron
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, 3600, 3120, 240
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope gitpodady is isomorphic to sitpodady, thereby replacing pentagons by pentagrams, resp. replacing gidtid by sidtid and ike by gike.

This is a fissary polychoron.

Incidence matrix according to Dynkin symbol

o5o3x5o3/2*b

. . . .      | 120 |   60 |   60  30 |  12  20
-------------+-----+------+----------+--------
. . x .      |   2 | 3600 |    2   1 |   1   2
-------------+-----+------+----------+--------
. o3x .      |   3 |    3 | 2400   * |   1   1
. . x5o      |   5 |    5 |    * 720 |   0   2
-------------+-----+------+----------+--------
o5o3x .      ♦  12 |   30 |   20   0 | 120   *
. o3x5o3/2*b ♦  20 |   60 |   20  12 |   * 120

o5o3x5/4o3*b

. . .   .    | 120 |   60 |   60  30 |  12  20
-------------+-----+------+----------+--------
. . x   .    |   2 | 3600 |    2   1 |   1   2
-------------+-----+------+----------+--------
. o3x   .    |   3 |    3 | 2400   * |   1   1
. . x5/4o    |   5 |    5 |    * 720 |   0   2
-------------+-----+------+----------+--------
o5o3x   .    ♦  12 |   30 |   20   0 | 120   *
. o3x5/4o3*b ♦  20 |   60 |   20  12 |   * 120

o5o3/2x5o3*b

. .   . .    | 120 |   60 |   60  30 |  12  20
-------------+-----+------+----------+--------
. .   x .    |   2 | 3600 |    2   1 |   1   2
-------------+-----+------+----------+--------
. o3/2x .    |   3 |    3 | 2400   * |   1   1
. .   x5o    |   5 |    5 |    * 720 |   0   2
-------------+-----+------+----------+--------
o5o3/2x .    ♦  12 |   30 |   20   0 | 120   *
. o3/2x5o3*b ♦  20 |   60 |   20  12 |   * 120

o5o3/2x5/4o3/2*b

. .   .   .      | 120 |   60 |   60  30 |  12  20
-----------------+-----+------+----------+--------
. .   x   .      |   2 | 3600 |    2   1 |   1   2
-----------------+-----+------+----------+--------
. o3/2x   .      |   3 |    3 | 2400   * |   1   1
. .   x5/4o      |   5 |    5 |    * 720 |   0   2
-----------------+-----+------+----------+--------
o5o3/2x   .      ♦  12 |   30 |   20   0 | 120   *
. o3/2x5/4o3/2*b ♦  20 |   60 |   20  12 |   * 120

o5/4o3x5o3/2*b

.   . . .      | 120 |   60 |   60  30 |  12  20
---------------+-----+------+----------+--------
.   . x .      |   2 | 3600 |    2   1 |   1   2
---------------+-----+------+----------+--------
.   o3x .      |   3 |    3 | 2400   * |   1   1
.   . x5o      |   5 |    5 |    * 720 |   0   2
---------------+-----+------+----------+--------
o5/4o3x .      ♦  12 |   30 |   20   0 | 120   *
.   o3x5o3/2*b ♦  20 |   60 |   20  12 |   * 120

o5/4o3x5/4o3*b

.   . .   .    | 120 |   60 |   60  30 |  12  20
---------------+-----+------+----------+--------
.   . x   .    |   2 | 3600 |    2   1 |   1   2
---------------+-----+------+----------+--------
.   o3x   .    |   3 |    3 | 2400   * |   1   1
.   . x5/4o    |   5 |    5 |    * 720 |   0   2
---------------+-----+------+----------+--------
o5/4o3x   .    ♦  12 |   30 |   20   0 | 120   *
.   o3x5/4o3*b ♦  20 |   60 |   20  12 |   * 120

o5/4o3/2x5o3*b

.   .   . .    | 120 |   60 |   60  30 |  12  20
---------------+-----+------+----------+--------
.   .   x .    |   2 | 3600 |    2   1 |   1   2
---------------+-----+------+----------+--------
.   o3/2x .    |   3 |    3 | 2400   * |   1   1
.   .   x5o    |   5 |    5 |    * 720 |   0   2
---------------+-----+------+----------+--------
o5/4o3/2x .    ♦  12 |   30 |   20   0 | 120   *
.   o3/2x5o3*b ♦  20 |   60 |   20  12 |   * 120

o5/4o3/2x5/4o3/2*b

.   .   .   .      | 120 |   60 |   60  30 |  12  20
-------------------+-----+------+----------+--------
.   .   x   .      |   2 | 3600 |    2   1 |   1   2
-------------------+-----+------+----------+--------
.   o3/2x   .      |   3 |    3 | 2400   * |   1   1
.   .   x5/4o      |   5 |    5 |    * 720 |   0   2
-------------------+-----+------+----------+--------
o5/4o3/2x   .      ♦  12 |   30 |   20   0 | 120   *
.   o3/2x5/4o3/2*b ♦  20 |   60 |   20  12 |   * 120