Acronym gefirdit xethi
Name great exofissary retroditetrahedronary hexacositrishecatonicosachoron
Circumradius sqrt(2) = 1.414214
General of army hi
Colonel of regiment dattady
Confer grad tathi   teppix  

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

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


Incidence matrix according to Dynkin symbol

o3o3x3x5/2*a5/4*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 .   *a5/4*c |    5 |    5    0 | 1440    *    *    * |   1   0   1   0
o . . x5/2*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 .   *a5/4*c    20 |   60    0 |   12    0   20    0 | 120   *   *   *
o3o . x5/2*a         20 |    0   30 |    0   12    0    0 |   * 120   *   *
o . x3x5/2*a5/4*c    60 |   60   60 |   12   12    0   20 |   *   * 120   *
. o3x3x              12 |   12    6 |    0    0    4    4 |   *   *   * 600

o3o3/2x3x5/3*a5*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*c |    5 |    5    0 | 1440    *    *    * |   1   0   1   0
o .   . x5/3*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*c    20 |   60    0 |   12    0   20    0 | 120   *   *   *
o3o   . x5/3*a       20 |    0   30 |    0   12    0    0 |   * 120   *   *
o .   x3x5/3*a5*c    60 |   60   60 |   12   12    0   20 |   *   * 120   *
. o3/2x3x            12 |   12    6 |    0    0    4    4 |   *   *   * 600

o3/2o3x3x5/3*a5*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*c |    5 |    5    0 | 1440    *    *    * |   1   0   1   0
o   . . x5/3*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*c    20 |   60    0 |   12    0   20    0 | 120   *   *   *
o3/2o . x5/3*a       20 |    0   30 |    0   12    0    0 |   * 120   *   *
o   . x3x5/3*a5*c    60 |   60   60 |   12   12    0   20 |   *   * 120   *
.   o3x3x            12 |   12    6 |    0    0    4    4 |   *   *   * 600

o3/2o3/2x3x5/2*a5/4*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 .   *a5/4*c |    5 |    5    0 | 1440    *    *    * |   1   0   1   0
o   .   . x5/2*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 .   *a5/4*c    20 |   60    0 |   12    0   20    0 | 120   *   *   *
o3/2o   . x5/2*a         20 |    0   30 |    0   12    0    0 |   * 120   *   *
o   .   x3x5/2*a5/4*c    60 |   60   60 |   12   12    0   20 |   *   * 120   *
.   o3/2x3x              12 |   12    6 |    0    0    4    4 |   *   *   * 600

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