Acronym	dattady
Name	ditetrahedronary dishecatonicosachoron
Cross sections	©
Circumradius	sqrt(2) = 1.414214
General of army	hi
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: did ditdid doe gidtid gissid hip ided pip raded sidtid stip tut radatathi 120 0 120 0 120 0 0 0 0 0 0 0 ridatathi 120 0 120 0 0 0 0 0 0 120 0 0 mardatathi 120 0 0 120 120 0 0 0 0 0 0 0 dittafady (fissary) 120 0 0 0 0 0 120 0 0 0 0 0 dattathi 0 120 120 0 120 0 0 0 0 0 0 0 seedatepthi (exotic) 0 120 120 0 0 0 0 720 120 0 0 0 geedatepthi (exotic) 0 120 0 0 120 0 0 0 120 0 720 0 dittadphi 0 120 0 0 0 0 0 720 0 0 720 0 giddatady 0 0 120 120 0 0 0 0 0 0 0 0 quadippady (fissary) 0 0 120 0 120 0 0 720 0 0 720 0 gefridit xethi (exotic) 0 0 120 0 0 0 120 0 0 120 0 600 gridtathi 0 0 120 0 0 0 120 0 0 120 0 0 gidard tipady 0 0 120 0 0 0 0 0 120 0 720 0 gefirdit xethi (exotic) 0 0 0 120 120 0 120 0 0 0 0 600 grad tathi 0 0 0 120 120 0 120 0 0 0 0 0 dard tipady 0 0 0 0 120 0 0 720 120 0 0 0 dattady 0 0 0 0 120 0 0 0 0 120 0 0 datap (compound) 0 0 0 0 0 1200 0 0 0 0 0 0 teppix (compound) 0 0 0 0 0 0 0 0 0 0 0 600 & others)
Face vector	600, 3600, 2640, 240
Confer	Grünbaumian relatives: datcathi   general polytopal classes: Wythoffian polychora
External links

As abstract polytope dattady is isomorphic to giddatady, thereby replacing pentagrams by pentagons, resp. gissid by doe and sidtid by gidtid.

Incidence matrix according to Dynkin symbol

o3o3o3x5/2*b

. . . .      | 600 ♦   12 |    6   12 |   4   4
-------------+-----+------+-----------+--------
. . . x      |   2 | 3600 |    1    2 |   1   2
-------------+-----+------+-----------+--------
. . o3x      |   3 |    3 | 1200    * |   0   2
. o . x5/2*b |   5 |    5 |    * 1440 |   1   1
-------------+-----+------+-----------+--------
o3o . x5/2*b ♦  20 |   30 |    0   12 | 120   *
. o3o3x5/2*b ♦  20 |   60 |   20   12 |   * 120

o3o3o3/2x5/3*b

. . .   .      | 600 ♦   12 |    6   12 |   4   4
---------------+-----+------+-----------+--------
. . .   x      |   2 | 3600 |    1    2 |   1   2
---------------+-----+------+-----------+--------
. . o3/2x      |   3 |    3 | 1200    * |   0   2
. o .   x5/3*b |   5 |    5 |    * 1440 |   1   1
---------------+-----+------+-----------+--------
o3o .   x5/3*b ♦  20 |   30 |    0   12 | 120   *
. o3o3/2x5/3*b ♦  20 |   60 |   20   12 |   * 120

o3o3/2o3x5/3*b

. .   . .      | 600 ♦   12 |    6   12 |   4   4
---------------+-----+------+-----------+--------
. .   . x      |   2 | 3600 |    1    2 |   1   2
---------------+-----+------+-----------+--------
. .   o3x      |   3 |    3 | 1200    * |   0   2
. o   . x5/3*b |   5 |    5 |    * 1440 |   1   1
---------------+-----+------+-----------+--------
o3o   . x5/3*b ♦  20 |   30 |    0   12 | 120   *
. o3/2o3x5/3*b ♦  20 |   60 |   20   12 |   * 120

o3o3/2o3/2x5/2*b

. .   .   .      | 600 ♦   12 |    6   12 |   4   4
-----------------+-----+------+-----------+--------
. .   .   x      |   2 | 3600 |    1    2 |   1   2
-----------------+-----+------+-----------+--------
. .   o3/2x      |   3 |    3 | 1200    * |   0   2
. o   .   x5/2*b |   5 |    5 |    * 1440 |   1   1
-----------------+-----+------+-----------+--------
o3o   .   x5/2*b ♦  20 |   30 |    0   12 | 120   *
. o3/2o3/2x5/2*b ♦  20 |   60 |   20   12 |   * 120

o3/2o3o3x5/2*b

.   . . .      | 600 ♦   12 |    6   12 |   4   4
---------------+-----+------+-----------+--------
.   . . x      |   2 | 3600 |    1    2 |   1   2
---------------+-----+------+-----------+--------
.   . o3x      |   3 |    3 | 1200    * |   0   2
.   o . x5/2*b |   5 |    5 |    * 1440 |   1   1
---------------+-----+------+-----------+--------
o3/2o . x5/2*b ♦  20 |   30 |    0   12 | 120   *
.   o3o3x5/2*b ♦  20 |   60 |   20   12 |   * 120

o3/2o3o3/2x5/3*b

.   . .   .      | 600 ♦   12 |    6   12 |   4   4
-----------------+-----+------+-----------+--------
.   . .   x      |   2 | 3600 |    1    2 |   1   2
-----------------+-----+------+-----------+--------
.   . o3/2x      |   3 |    3 | 1200    * |   0   2
.   o .   x5/3*b |   5 |    5 |    * 1440 |   1   1
-----------------+-----+------+-----------+--------
o3/2o .   x5/3*b ♦  20 |   30 |    0   12 | 120   *
.   o3o3/2x5/3*b ♦  20 |   60 |   20   12 |   * 120

o3/2o3/2o3x5/3*b

.   .   . .      | 600 ♦   12 |    6   12 |   4   4
-----------------+-----+------+-----------+--------
.   .   . x      |   2 | 3600 |    1    2 |   1   2
-----------------+-----+------+-----------+--------
.   .   o3x      |   3 |    3 | 1200    * |   0   2
.   o   . x5/3*b |   5 |    5 |    * 1440 |   1   1
-----------------+-----+------+-----------+--------
o3/2o   . x5/3*b ♦  20 |   30 |    0   12 | 120   *
.   o3/2o3x5/3*b ♦  20 |   60 |   20   12 |   * 120

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

.   .   .   .      | 600 ♦   12 |    6   12 |   4   4
-------------------+-----+------+-----------+--------
.   .   .   x      |   2 | 3600 |    1    2 |   1   2
-------------------+-----+------+-----------+--------
.   .   o3/2x      |   3 |    3 | 1200    * |   0   2
.   o   .   x5/2*b |   5 |    5 |    * 1440 |   1   1
-------------------+-----+------+-----------+--------
o3/2o   .   x5/2*b ♦  20 |   30 |    0   12 | 120   *
.   o3/2o3/2x5/2*b ♦  20 |   60 |   20   12 |   * 120