| Acronym | datcathi |
| Name | ditetrahedronary coincidic trishecatonicosachoron |
| Circumradius | sqrt(2) = 1.414214 |
| General of army | hi |
| Colonel of regiment | dattady |
| Face vector | 600, 7200, 5280, 360 |
| Confer |
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As abstract polytope datcathi is automorph, thereby interchanging pentagrams and pentagons, resp. sidtid and gidtid.
This Grünbaumian polychoron can be obtained as a blend of dattady and mardatathi, blending out the gissid, or likewise (isomorphically) as the blend of giddatady and ridatathi, blending out the doe. Thereby it happens that the sidtid and gidtid cells one by one become co-realmic, and that edges and triangles both coincide pairwise.
x5/2o3o3/2o5*a3*c . . . . | 600 | 24 | 12 12 12 | 4 6 4 ------------------+-----+------+----------------+------------ x . . . | 2 | 7200 | 1 1 1 | 1 1 1 ------------------+-----+------+----------------+------------ x5/2o . . | 5 | 5 | 1440 * * | 1 1 0 x . o . *a3*c | 3 | 3 | * 2400 * | 1 0 1 x . . o5*a | 5 | 5 | * * 1440 | 0 1 1 ------------------+-----+------+----------------+------------ x5/2o3o . *a3*c ♦ 20 | 60 | 12 20 0 | 120 * * x5/2o . o5*a ♦ 30 | 60 | 12 0 12 | * 120 * x . o3/2o5*a3*c ♦ 20 | 60 | 0 20 12 | * * 120
x5/2o3/2o3o5*a3/2*c . . . . | 600 | 24 | 12 12 12 | 4 6 4 --------------------+-----+------+----------------+------------ x . . . | 2 | 7200 | 1 1 1 | 1 1 1 --------------------+-----+------+----------------+------------ x5/2o . . | 5 | 5 | 1440 * * | 1 1 0 x . o . *a3/2*c | 3 | 3 | * 2400 * | 1 0 1 x . . o5*a | 5 | 5 | * * 1440 | 0 1 1 --------------------+-----+------+----------------+------------ x5/2o3/2o . *a3/2*c ♦ 20 | 60 | 12 20 0 | 120 * * x5/2o . o5*a ♦ 30 | 60 | 12 0 12 | * 120 * x . o3o5*a3/2*c ♦ 20 | 60 | 0 20 12 | * * 120
x5/3o3o3o5*a3/2*c . . . . | 600 | 24 | 12 12 12 | 4 6 4 ------------------+-----+------+----------------+------------ x . . . | 2 | 7200 | 1 1 1 | 1 1 1 ------------------+-----+------+----------------+------------ x5/3o . . | 5 | 5 | 1440 * * | 1 1 0 x . o . *a3/2*c | 3 | 3 | * 2400 * | 1 0 1 x . . o5*a | 5 | 5 | * * 1440 | 0 1 1 ------------------+-----+------+----------------+------------ x5/3o3o . *a3/2*c ♦ 20 | 60 | 12 20 0 | 120 * * x5/3o . o5*a ♦ 30 | 60 | 12 0 12 | * 120 * x . o3o5*a3/2*c ♦ 20 | 60 | 0 20 12 | * * 120
x5/3o3/2o3/2o5*a3*c . . . . | 600 | 24 | 12 12 12 | 4 6 4 --------------------+-----+------+----------------+------------ x . . . | 2 | 7200 | 1 1 1 | 1 1 1 --------------------+-----+------+----------------+------------ x5/3o . . | 5 | 5 | 1440 * * | 1 1 0 x . o . *a3*c | 3 | 3 | * 2400 * | 1 0 1 x . . o5*a | 5 | 5 | * * 1440 | 0 1 1 --------------------+-----+------+----------------+------------ x5/3o3/2o . *a3*c ♦ 20 | 60 | 12 20 0 | 120 * * x5/3o . o5*a ♦ 30 | 60 | 12 0 12 | * 120 * x . o3/2o5*a3*c ♦ 20 | 60 | 0 20 12 | * * 120
x5/4o3o3o5/2*a3*c . . . . | 600 | 24 | 12 12 12 | 4 6 4 ------------------+-----+------+----------------+------------ x . . . | 2 | 7200 | 1 1 1 | 1 1 1 ------------------+-----+------+----------------+------------ x5/4o . . | 5 | 5 | 1440 * * | 1 1 0 x . o . *a3*c | 3 | 3 | * 2400 * | 1 0 1 x . . o5/2*a | 5 | 5 | * * 1440 | 0 1 1 ------------------+-----+------+----------------+------------ x5/4o3o . *a3*c ♦ 20 | 60 | 12 20 0 | 120 * * x5/4o . o5/2*a ♦ 30 | 60 | 12 0 12 | * 120 * x . o3o5/2*a3*c ♦ 20 | 60 | 0 20 12 | * * 120
x5/4o3o3/2o5/3*a3*c . . . . | 600 | 24 | 12 12 12 | 4 6 4 --------------------+-----+------+----------------+------------ x . . . | 2 | 7200 | 1 1 1 | 1 1 1 --------------------+-----+------+----------------+------------ x5/4o . . | 5 | 5 | 1440 * * | 1 1 0 x . o . *a3*c | 3 | 3 | * 2400 * | 1 0 1 x . . o5/3*a | 5 | 5 | * * 1440 | 0 1 1 --------------------+-----+------+----------------+------------ x5/4o3o . *a3*c ♦ 20 | 60 | 12 20 0 | 120 * * x5/4o . o5/3*a ♦ 30 | 60 | 12 0 12 | * 120 * x . o3/2o5/3*a3*c ♦ 20 | 60 | 0 20 12 | * * 120
x5/4o3/2o3o5/3*a3/2*c . . . . | 600 | 24 | 12 12 12 | 4 6 4 ----------------------+-----+------+----------------+------------ x . . . | 2 | 7200 | 1 1 1 | 1 1 1 ----------------------+-----+------+----------------+------------ x5/4o . . | 5 | 5 | 1440 * * | 1 1 0 x . o . *a3/2*c | 3 | 3 | * 2400 * | 1 0 1 x . . o5/3*a | 5 | 5 | * * 1440 | 0 1 1 ----------------------+-----+------+----------------+------------ x5/4o3/2o . *a3/2*c ♦ 20 | 60 | 12 20 0 | 120 * * x5/4o . o5/3*a ♦ 30 | 60 | 12 0 12 | * 120 * x . o3o5/3*a3/2*c ♦ 20 | 60 | 0 20 12 | * * 120
x5/4o3/2o3/2o5/2*a3/2*c . . . . | 600 | 24 | 12 12 12 | 4 6 4 ------------------------+-----+------+----------------+------------ x . . . | 2 | 7200 | 1 1 1 | 1 1 1 ------------------------+-----+------+----------------+------------ x5/4o . . | 5 | 5 | 1440 * * | 1 1 0 x . o . *a3/2*c | 3 | 3 | * 2400 * | 1 0 1 x . . o5/2*a | 5 | 5 | * * 1440 | 0 1 1 ------------------------+-----+------+----------------+------------ x5/4o3/2o . *a3/2*c ♦ 20 | 60 | 12 20 0 | 120 * * x5/4o . o5/2*a ♦ 30 | 60 | 12 0 12 | * 120 * x . o3/2o5/2*a3/2*c ♦ 20 | 60 | 0 20 12 | * * 120
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