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
```