Acronym gefridit xethi Name great exofissary retroinverted ditetrahedronary hexacositrishecatonicosachoron Circumradius sqrt(2) = 1.414214 General of army hi Colonel of regiment dattady Confer gridtathi   teppix

As abstract polytope gefridit xethi is isomorphic to gefirdit xethi, thereby interchanging the roles of pentagrams and pentagons, resp. replacing doe by gissid and sidtid by gidtid.

Looks like the compound of gridtathi and teppix. Indeed, vertices coincide by 4, edges by 3, and triangles and hexagons each coincide by pairs.

Incidence matrix according to Dynkin symbol

```o3o3x3x5/4*a5/2*c

. . . .           | 2400 |    6    3 |    3    3    3    6 |   1   1   3   3
------------------+------+-----------+---------------------+----------------
. . x .           |    2 | 7200    * |    1    0    1    1 |   1   0   1   1
. . . x           |    2 |    * 3600 |    0    2    0    2 |   0   1   2   1
------------------+------+-----------+---------------------+----------------
o . x .   *a5/2*c |    5 |    5    0 | 1440    *    *    * |   1   0   1   0
o . . x5/4*a      |    5 |    0    5 |    * 1440    *    * |   0   1   1   0
. o3x .           |    3 |    3    0 |    *    * 2400    * |   1   0   0   1
. . x3x           |    6 |    3    3 |    *    *    * 2400 |   0   0   1   1
------------------+------+-----------+---------------------+----------------
o3o3x .   *a5/2*c ♦   20 |   60    0 |   12    0   20    0 | 120   *   *   *
o3o . x5/4*a      ♦   20 |    0   30 |    0   12    0    0 |   * 120   *   *
o . x3x5/4*a5/2*c ♦   60 |   60   60 |   12   12    0   20 |   *   * 120   *
. o3x3x           ♦   12 |   12    6 |    0    0    4    4 |   *   *   * 600
```

```o3o3/2x3x5*a5/3*c

. .   . .         | 2400 |    6    3 |    3    3    3    6 |   1   1   3   3
------------------+------+-----------+---------------------+----------------
. .   x .         |    2 | 7200    * |    1    0    1    1 |   1   0   1   1
. .   . x         |    2 |    * 3600 |    0    2    0    2 |   0   1   2   1
------------------+------+-----------+---------------------+----------------
o .   x . *a5/3*c |    5 |    5    0 | 1440    *    *    * |   1   0   1   0
o .   . x5*a      |    5 |    0    5 |    * 1440    *    * |   0   1   1   0
. o3/2x .         |    3 |    3    0 |    *    * 2400    * |   1   0   0   1
. .   x3x         |    6 |    3    3 |    *    *    * 2400 |   0   0   1   1
------------------+------+-----------+---------------------+----------------
o3o3/2x . *a5/3*c ♦   20 |   60    0 |   12    0   20    0 | 120   *   *   *
o3o   . x5*a      ♦   20 |    0   30 |    0   12    0    0 |   * 120   *   *
o .   x3x5*a5/3*c ♦   60 |   60   60 |   12   12    0   20 |   *   * 120   *
. o3/2x3x         ♦   12 |   12    6 |    0    0    4    4 |   *   *   * 600
```

```o3/2o3x3x5*a5/3*c

.   . . .         | 2400 |    6    3 |    3    3    3    6 |   1   1   3   3
------------------+------+-----------+---------------------+----------------
.   . x .         |    2 | 7200    * |    1    0    1    1 |   1   0   1   1
.   . . x         |    2 |    * 3600 |    0    2    0    2 |   0   1   2   1
------------------+------+-----------+---------------------+----------------
o   . x . *a5/3*c |    5 |    5    0 | 1440    *    *    * |   1   0   1   0
o   . . x5*a      |    5 |    0    5 |    * 1440    *    * |   0   1   1   0
.   o3x .         |    3 |    3    0 |    *    * 2400    * |   1   0   0   1
.   . x3x         |    6 |    3    3 |    *    *    * 2400 |   0   0   1   1
------------------+------+-----------+---------------------+----------------
o3/2o3x . *a5/3*c ♦   20 |   60    0 |   12    0   20    0 | 120   *   *   *
o3/2o . x5*a      ♦   20 |    0   30 |    0   12    0    0 |   * 120   *   *
o   . x3x5*a5/3*c ♦   60 |   60   60 |   12   12    0   20 |   *   * 120   *
.   o3x3x         ♦   12 |   12    6 |    0    0    4    4 |   *   *   * 600
```

```o3/2o3/2x3x5/4*a5/2*c

.   .   . .           | 2400 |    6    3 |    3    3    3    6 |   1   1   3   3
----------------------+------+-----------+---------------------+----------------
.   .   x .           |    2 | 7200    * |    1    0    1    1 |   1   0   1   1
.   .   . x           |    2 |    * 3600 |    0    2    0    2 |   0   1   2   1
----------------------+------+-----------+---------------------+----------------
o   .   x .   *a5/2*c |    5 |    5    0 | 1440    *    *    * |   1   0   1   0
o   .   . x5/4*a      |    5 |    0    5 |    * 1440    *    * |   0   1   1   0
.   o3/2x .           |    3 |    3    0 |    *    * 2400    * |   1   0   0   1
.   .   x3x           |    6 |    3    3 |    *    *    * 2400 |   0   0   1   1
----------------------+------+-----------+---------------------+----------------
o3/2o3/2x .   *a5/2*c ♦   20 |   60    0 |   12    0   20    0 | 120   *   *   *
o3/2o   . x5/4*a      ♦   20 |    0   30 |    0   12    0    0 |   * 120   *   *
o   .   x3x5/4*a5/2*c ♦   60 |   60   60 |   12   12    0   20 |   *   * 120   *
.   o3/2x3x           ♦   12 |   12    6 |    0    0    4    4 |   *   *   * 600
```