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 120012001200000000
ridatathi 120012000000012000
mardatathi 120001201200000000
dittafady (fissary) 1200000012000000
dattathi 012012001200000000
seedatepthi (exotic) 01201200000720120000
geedatepthi (exotic) 01200012000012007200
dittadphi 012000000720007200
giddatady 0012012000000000
quadippady (fissary) 00120012000720007200
gefridit xethi (exotic) 00120000120001200600
gridtathi 001200001200012000
gidard tipady 001200000012007200
gefirdit xethi (exotic) 00012012001200000600
grad tathi 000120120012000000
dard tipady 000012000720120000
dattady 0000120000012000
datap (compound) 000001200000000
teppix (compound) 00000000000600
& others)
Face vector 600, 3600, 2640, 240
Confer
Grünbaumian relatives:
datcathi  
general polytopal classes:
Wythoffian polychora  
External
links
hedrondude   polytopewiki   WikiChoron  

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

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