Acronym datcathi
Name ditetrahedronary coincidic trishecatonicosachoron
Circumradius sqrt(2) = 1.414214
General of army hi
Colonel of regiment dattady
Confer
blend-components:
dattady   giddatady   mardatathi   ridatathi  

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.


Incidence matrix

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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