Acronym gaedit pathi
Name grand exoditetrahedronary prismatotriakishecatonicosachoron
Circumradius sqrt[3-sqrt(5)] = 0.874032
General of army hi
Colonel of regiment gadtaxady
Confer
blends:
gardtapaxhi   gardtaxady  

As abstract polytope gaedit pathi is isomorphic to sedit pathi, thereby replacing pentagrams by pentagons, resp. gissid by doe, stip by pip, qrid by srid, and sidtid by gidtid.

This exotic polychoron has vertices coincident by 4, so that the axial vertex figures vx3/2ov&#q becomes a ditetrahedral compound, edges coincide by 3, and both types of pentagrams coincide one by one.

It also can be obtained as blend of gardtapaxhi with gardtaxady, blending out the tet.


Incidence matrix according to Dynkin symbol

x5/2o3o5/3x3/2*b

.   . .   .      | 2400 |    3    6 |    3    6    3    3 |   1   3   3   1
-----------------+------+-----------+---------------------+----------------
x   . .   .      |    2 | 3600    * |    2    2    0    0 |   1   2   1   0
.   . .   x      |    2 |    * 7200 |    0    1    1    1 |   0   1   1   1
-----------------+------+-----------+---------------------+----------------
x5/2o .   .      |    5 |    5    0 | 1440    *    *    * |   1   1   0   0
x   . .   x      |    4 |    2    2 |    * 3600    *    * |   0   1   1   0
.   o .   x3/2*b |    3 |    0    3 |    *    * 2400    * |   0   1   0   1
.   . o5/3x      |    5 |    0    5 |    *    *    * 1440 |   0   0   1   1
-----------------+------+-----------+---------------------+----------------
x5/2o3o   .         20 |   30    0 |   12    0    0    0 | 120   *   *   *
x5/2o .   x3/2*b    60 |   60   60 |   12   30   20    0 |   * 120   *   *
x   . o5/3x         10 |    5   10 |    0    5    0    2 |   *   * 720   *
.   o3o5/3x3/2*b    20 |    0   60 |    0    0   20   12 |   *   *   * 120

x5/2o3/2o5/2x3/2*b

.   .   .   .      | 2400 |    3    6 |    3    6    3    3 |   1   3   3   1
-------------------+------+-----------+---------------------+----------------
x   .   .   .      |    2 | 3600    * |    2    2    0    0 |   1   2   1   0
.   .   .   x      |    2 |    * 7200 |    0    1    1    1 |   0   1   1   1
-------------------+------+-----------+---------------------+----------------
x5/2o   .   .      |    5 |    5    0 | 1440    *    *    * |   1   1   0   0
x   .   .   x      |    4 |    2    2 |    * 3600    *    * |   0   1   1   0
.   o   .   x3/2*b |    3 |    0    3 |    *    * 2400    * |   0   1   0   1
.   .   o5/2x      |    5 |    0    5 |    *    *    * 1440 |   0   0   1   1
-------------------+------+-----------+---------------------+----------------
x5/2o3/2o   .         20 |   30    0 |   12    0    0    0 | 120   *   *   *
x5/2o   .   x3/2*b    60 |   60   60 |   12   30   20    0 |   * 120   *   *
x   .   o5/2x         10 |    5   10 |    0    5    0    2 |   *   * 720   *
.   o3/2o5/2x3/2*b    20 |    0   60 |    0    0   20   12 |   *   *   * 120

x5/3o3o5/2x3*b

.   . .   .    | 2400 |    3    6 |    3    6    3    3 |   1   3   3   1
---------------+------+-----------+---------------------+----------------
x   . .   .    |    2 | 3600    * |    2    2    0    0 |   1   2   1   0
.   . .   x    |    2 |    * 7200 |    0    1    1    1 |   0   1   1   1
---------------+------+-----------+---------------------+----------------
x5/3o .   .    |    5 |    5    0 | 1440    *    *    * |   1   1   0   0
x   . .   x    |    4 |    2    2 |    * 3600    *    * |   0   1   1   0
.   o .   x3*b |    3 |    0    3 |    *    * 2400    * |   0   1   0   1
.   . o5/2x    |    5 |    0    5 |    *    *    * 1440 |   0   0   1   1
---------------+------+-----------+---------------------+----------------
x5/3o3o   .       20 |   30    0 |   12    0    0    0 | 120   *   *   *
x5/3o .   x3*b    60 |   60   60 |   12   30   20    0 |   * 120   *   *
x   . o5/2x       10 |    5   10 |    0    5    0    2 |   *   * 720   *
.   o3o5/2x3*b    20 |    0   60 |    0    0   20   12 |   *   *   * 120

x5o3/2o5/3x3*b

.   .   .   .    | 2400 |    3    6 |    3    6    3    3 |   1   3   3   1
-----------------+------+-----------+---------------------+----------------
x   .   .   .    |    2 | 3600    * |    2    2    0    0 |   1   2   1   0
.   .   .   x    |    2 |    * 7200 |    0    1    1    1 |   0   1   1   1
-----------------+------+-----------+---------------------+----------------
x5/3o   .   .    |    5 |    5    0 | 1440    *    *    * |   1   1   0   0
x   .   .   x    |    4 |    2    2 |    * 3600    *    * |   0   1   1   0
.   o   .   x3*b |    3 |    0    3 |    *    * 2400    * |   0   1   0   1
.   .   o5/3x    |    5 |    0    5 |    *    *    * 1440 |   0   0   1   1
-----------------+------+-----------+---------------------+----------------
x5/3o3/2o   .       20 |   30    0 |   12    0    0    0 | 120   *   *   *
x5/3o   .   x3*b    60 |   60   60 |   12   30   20    0 |   * 120   *   *
x   .   o5/3x       10 |    5   10 |    0    5    0    2 |   *   * 720   *
.   o3/2o5/3x3*b    20 |    0   60 |    0    0   20   12 |   *   *   * 120

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