Acronym gefdit dixdy
Name great exofissary ditrigonal dihexacosadihecatonicosachoron
Circumradius sqrt(3) = 1.732051
General of army rahi
Colonel of regiment rissidtixhi
Confer gaddit thix giddit thix stodatixhi todtixhi

As abstract polytope gefdit dixdy is isomorphic to sefdit dixdy, thereby replacing pentagons by pentagrams, resp. id by gid and giid by siid.

This polychoron is exotic, as 2 classes of triangles coincide pairwise. Also the edges coincide pairwise. It also is fissary, as its vertices coincide by 3. In fact, each vertex figure is kind a x2x || x2f, linked diametrically by edges of length u.

This polychoron can be obtained as blend of gaddit thix with todtixhi, blending out their ri. Alternatively it can be obtained as blend of giddit thix with stodatixhi, blending out their siddy.


Incidence matrixDynkin symbol

x3o3/2x3o5/4*a3*c

. .   . .         | 3600 |    4    4 |    2    4    2    2    2 |   2   1   2   1
------------------+------+-----------+--------------------------+----------------
x .   . .         |    2 | 7200    * |    1    1    1    0    0 |   1   1   1   0
. .   x .         |    2 |    * 7200 |    0    1    0    1    1 |   1   0   1   1
------------------+------+-----------+--------------------------+----------------
x3o   . .         |    3 |    3    0 | 2400    *    *    *    * |   1   1   0   0
x .   x .   *a3*c |    6 |    3    3 |    * 2400    *    *    * |   1   0   1   0
x .   . o5/4*a    |    5 |    5    0 |    *    * 1440    *    * |   0   1   1   0
. o3/2x .         |    3 |    0    3 |    *    *    * 2400    * |   1   0   0   1
. .   x3o         |    3 |    0    3 |    *    *    *    * 2400 |   0   0   1   1
------------------+------+-----------+--------------------------+----------------
x3o3/2x .   *a3*c    12 |   12   12 |    4    4    0    4    0 | 600   *   *   *
x3o   . o5/4*a       30 |   60    0 |   20    0   12    0    0 |   * 120   *   *
x .   x3o5/4*a3*c    60 |   60   60 |    0   20   12    0   20 |   *   * 120   *
. o3/2x3o             6 |    0   12 |    0    0    0    4    4 |   *   *   * 600

x3o3/2x3/2o5*a3*c

. .   .   .       | 3600 |    4    4 |    2    4    2    2    2 |   2   1   2   1
------------------+------+-----------+--------------------------+----------------
x .   .   .       |    2 | 7200    * |    1    1    1    0    0 |   1   1   1   0
. .   x   .       |    2 |    * 7200 |    0    1    0    1    1 |   1   0   1   1
------------------+------+-----------+--------------------------+----------------
x3o   .   .       |    3 |    3    0 | 2400    *    *    *    * |   1   1   0   0
x .   x   . *a3*c |    6 |    3    3 |    * 2400    *    *    * |   1   0   1   0
x .   .   o5*a    |    5 |    5    0 |    *    * 1440    *    * |   0   1   1   0
. o3/2x   .       |    3 |    0    3 |    *    *    * 2400    * |   1   0   0   1
. .   x3/2o       |    3 |    0    3 |    *    *    *    * 2400 |   0   0   1   1
------------------+------+-----------+--------------------------+----------------
x3o3/2x   . *a3*c    12 |   12   12 |    4    4    0    4    0 | 600   *   *   *
x3o   .   o5*a       30 |   60    0 |   20    0   12    0    0 |   * 120   *   *
x .   x3/2o5*a3*c    60 |   60   60 |    0   20   12    0   20 |   *   * 120   *
. o3/2x3/2o           6 |    0   12 |    0    0    0    4    4 |   *   *   * 600

x3/2o3x3o5/4*a3*c

.   . . .         | 3600 |    4    4 |    2    4    2    2    2 |   2   1   2   1
------------------+------+-----------+--------------------------+----------------
x   . . .         |    2 | 7200    * |    1    1    1    0    0 |   1   1   1   0
.   . x .         |    2 |    * 7200 |    0    1    0    1    1 |   1   0   1   1
------------------+------+-----------+--------------------------+----------------
x3/2o . .         |    3 |    3    0 | 2400    *    *    *    * |   1   1   0   0
x   . x .   *a3*c |    6 |    3    3 |    * 2400    *    *    * |   1   0   1   0
x   . . o5/4*a    |    5 |    5    0 |    *    * 1440    *    * |   0   1   1   0
.   o3x .         |    3 |    0    3 |    *    *    * 2400    * |   1   0   0   1
.   . x3o         |    3 |    0    3 |    *    *    *    * 2400 |   0   0   1   1
------------------+------+-----------+--------------------------+----------------
x3/2o3x .   *a3*c    12 |   12   12 |    4    4    0    4    0 | 600   *   *   *
x3/2o . o5/4*a       30 |   60    0 |   20    0   12    0    0 |   * 120   *   *
x   . x3o5/4*a3*c    60 |   60   60 |    0   20   12    0   20 |   *   * 120   *
.   o3x3o             6 |    0   12 |    0    0    0    4    4 |   *   *   * 600

x3/2o3x3/2o5*a3*c

.   . .   .       | 3600 |    4    4 |    2    4    2    2    2 |   2   1   2   1
------------------+------+-----------+--------------------------+----------------
x   . .   .       |    2 | 7200    * |    1    1    1    0    0 |   1   1   1   0
.   . x   .       |    2 |    * 7200 |    0    1    0    1    1 |   1   0   1   1
------------------+------+-----------+--------------------------+----------------
x3/2o .   .       |    3 |    3    0 | 2400    *    *    *    * |   1   1   0   0
x   . x   . *a3*c |    6 |    3    3 |    * 2400    *    *    * |   1   0   1   0
x   . .   o5*a    |    5 |    5    0 |    *    * 1440    *    * |   0   1   1   0
.   o3x   .       |    3 |    0    3 |    *    *    * 2400    * |   1   0   0   1
.   . x3/2o       |    3 |    0    3 |    *    *    *    * 2400 |   0   0   1   1
------------------+------+-----------+--------------------------+----------------
x3/2o3x   . *a3*c    12 |   12   12 |    4    4    0    4    0 | 600   *   *   *
x3/2o .   o5*a       30 |   60    0 |   20    0   12    0    0 |   * 120   *   *
x   . x3/2o5*a3*c    60 |   60   60 |    0   20   12    0   20 |   *   * 120   *
.   o3x3/2o           6 |    0   12 |    0    0    0    4    4 |   *   *   * 600

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