Acronym ...
Name gaghi+didhi (?)
Circumradius 1
General of army ex
Colonel of regiment sishi
Confer
non-Grünbaumian masters:
didhi   gaghi  

Looks like a compound of a gaghi with didhi. The vertex figure is f3x5/3o5/2*a, a facetting of doe. Edges coincide by 3 and pentagons come in coincident pairs.

As abstract polytope gaghi+didhi is isomorphic to sishi+ofiddady, thereby replacing pentagons by pentagrams, resp. gidtid by sidtid, gad by sissid and gike by ike.


Incidence matrix according to Dynkin symbol

o3x5o5/3o5/3*a3/2*c

. . .   .           | 120 |   60 |   60   60 |  20  12  12
--------------------+-----+------+-----------+------------
. x .   .           |   2 | 3600 |    2    2 |   2   1   1
--------------------+-----+------+-----------+------------
o3x .   .           |   3 |    3 | 2400    * |   1   1   0
. x5o   .           |   5 |    5 |    * 1440 |   1   0   1
--------------------+-----+------+-----------+------------
o3x5o   .   *a3/2*c   20 |   60 |   20   12 | 120   *   *
o3x .   o5/3*a        12 |   30 |   20    0 |   * 120   *
. x5o5/3o             12 |   30 |    0   12 |   *   * 120

o3x5/4o5/3o5/2*a3*c

. .   .   .         | 120 |   60 |   60   60 |  20  12  12
--------------------+-----+------+-----------+------------
. x   .   .         |   2 | 3600 |    2    2 |   2   1   1
--------------------+-----+------+-----------+------------
o3x   .   .         |   3 |    3 | 2400    * |   1   1   0
. x5/4o   .         |   5 |    5 |    * 1440 |   1   0   1
--------------------+-----+------+-----------+------------
o3x5/4o   .   *a3*c   20 |   60 |   20   12 | 120   *   *
o3x   .   o5/2*a      12 |   30 |   20    0 |   * 120   *
. x5/4o5/3o           12 |   30 |    0   12 |   *   * 120

o3x5/4o5/2o5/3*a3*c

. .   .   .         | 120 |   60 |   60   60 |  20  12  12
--------------------+-----+------+-----------+------------
. x   .   .         |   2 | 3600 |    2    2 |   2   1   1
--------------------+-----+------+-----------+------------
o3x   .   .         |   3 |    3 | 2400    * |   1   1   0
. x5/4o   .         |   5 |    5 |    * 1440 |   1   0   1
--------------------+-----+------+-----------+------------
o3x5/4o   .   *a3*c   20 |   60 |   20   12 | 120   *   *
o3x   .   o5/3*a      12 |   30 |   20    0 |   * 120   *
. x5/4o5/2o           12 |   30 |    0   12 |   *   * 120

o3x5o5/2o5/2*a3/2*c

. . .   .           | 120 |   60 |   60   60 |  20  12  12
--------------------+-----+------+-----------+------------
. x .   .           |   2 | 3600 |    2    2 |   2   1   1
--------------------+-----+------+-----------+------------
o3x .   .           |   3 |    3 | 2400    * |   1   1   0
. x5o   .           |   5 |    5 |    * 1440 |   1   0   1
--------------------+-----+------+-----------+------------
o3x5o   .   *a3/2*c   20 |   60 |   20   12 | 120   *   *
o3x .   o5/2*a        12 |   30 |   20    0 |   * 120   *
. x5o5/2o             12 |   30 |    0   12 |   *   * 120

o3/2x5/4o5/3o5/3*a3/2*c

.   .   .   .           | 120 |   60 |   60   60 |  20  12  12
------------------------+-----+------+-----------+------------
.   x   .   .           |   2 | 3600 |    2    2 |   2   1   1
------------------------+-----+------+-----------+------------
o3/2x   .   .           |   3 |    3 | 2400    * |   1   1   0
.   x5/4o   .           |   5 |    5 |    * 1440 |   1   0   1
------------------------+-----+------+-----------+------------
o3/2x5/4o   .   *a3/2*c   20 |   60 |   20   12 | 120   *   *
o3/2x   .   o5/3*a        12 |   30 |   20    0 |   * 120   *
.   x5/4o5/3o             12 |   30 |    0   12 |   *   * 120

o3/2x5o5/3o5/2*a3*c

.   . .   .         | 120 |   60 |   60   60 |  20  12  12
--------------------+-----+------+-----------+------------
.   x .   .         |   2 | 3600 |    2    2 |   2   1   1
--------------------+-----+------+-----------+------------
o3/2x .   .         |   3 |    3 | 2400    * |   1   1   0
.   x5o   .         |   5 |    5 |    * 1440 |   1   0   1
--------------------+-----+------+-----------+------------
o3/2x5o   .   *a3*c   20 |   60 |   20   12 | 120   *   *
o3/2x .   o5/2*a      12 |   30 |   20    0 |   * 120   *
.   x5o5/3o           12 |   30 |    0   12 |   *   * 120

o3/2x5o5/2o5/3*a3*c

.   . .   .         | 120 |   60 |   60   60 |  20  12  12
--------------------+-----+------+-----------+------------
.   x .   .         |   2 | 3600 |    2    2 |   2   1   1
--------------------+-----+------+-----------+------------
o3/2x .   .         |   3 |    3 | 2400    * |   1   1   0
.   x5o   .         |   5 |    5 |    * 1440 |   1   0   1
--------------------+-----+------+-----------+------------
o3/2x5o   .   *a3*c   20 |   60 |   20   12 | 120   *   *
o3/2x .   o5/3*a      12 |   30 |   20    0 |   * 120   *
.   x5o5/2o           12 |   30 |    0   12 |   *   * 120

o3/2x5/4o5/2o5/2*a3/2*c

.   .   .   .           | 120 |   60 |   60   60 |  20  12  12
------------------------+-----+------+-----------+------------
.   x   .   .           |   2 | 3600 |    2    2 |   2   1   1
------------------------+-----+------+-----------+------------
o3/2x   .   .           |   3 |    3 | 2400    * |   1   1   0
.   x5/4o   .           |   5 |    5 |    * 1440 |   1   0   1
------------------------+-----+------+-----------+------------
o3/2x5/4o   .   *a3/2*c   20 |   60 |   20   12 | 120   *   *
o3/2x   .   o5/2*a        12 |   30 |   20    0 |   * 120   *
.   x5/4o5/2o             12 |   30 |    0   12 |   *   * 120

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