Acronym	sitpodady
Name	small (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 sitpodady is isomorphic to gitpodady, thereby replacing pentagrams by pentagons, resp. replacing sidtid by gidtid and gike by ike.

This is a fissary polychoron.

Incidence matrix according to Dynkin symbol

o5/2o3x5/2o3*b

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

o5/2o3x5/3o3/2*b

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

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

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

o5/2o3/2x5/3o3*b

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

o5/3o3x5/2o3*b

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

o5/3o3x5/3o3/2*b

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

o5/3o3/2x5/2o3/2*b

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

o5/3o3/2x5/3o3*b

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

β5o3o5/2o

both( . . .   . ) | 120 |   60 |  30   60 |  20  12
------------------+-----+------+----------+--------
sefa( β5o .   . ) |   2 | 3600 |   1    2 |   2   1
------------------+-----+------+----------+--------
      β5o .   .   |   5 |    5 | 720    * |   2   0  {5/2}
sefa( β5o3o   . ) |   3 |    3 |   * 2400 |   1   1
------------------+-----+------+----------+--------
      β5o3o   .   ♦  20 |   60 |  12   20 | 120   *
sefa( β5o3o5/2o ) ♦  12 |   30 |   0   20 |   * 120

starting figure: x5o3o5/2o