Acronym efdit xithi
Name exofissary ditrigonal hexacositrishecatonicosachoron
Circumradius sqrt(3) = 1.732051
General of army rahi
Colonel of regiment rissidtixhi
Confer
non-Grünbaumian master:
gidthidy hi   gotdatixhi   sidthidy hi   stodatixhi  

As abstract polytope efdit xithi is automorph, thereby interchanging the roles of pentagrams and pentagons, resp. interchanging the gid and id.

This polychoron is fissary as its vertices coincide by 3; further edges coincide by pairs, and it is also exotic as its triangles coincide by pairs.

It can be seen as blend of gidthidy hi with gotdatixhi, blending out the giddy. Alternatively as blend of sidthidy hi with stodatixhi, blending out the siddy.


Incidence matrix according to Dynkin symbol

x3o3/2x5o5/3*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 .   . o5/3*a    |    5 |    5    0 |    *    * 1440    *    * |   0   1   1   0
. o3/2x .         |    3 |    0    3 |    *    *    * 2400    * |   1   0   0   1
. .   x5o         |    5 |    0    5 |    *    *    *    * 1440 |   0   0   1   1
------------------+------+-----------+--------------------------+----------------
x3o3/2x .   *a3*c    12 |   12   12 |    4    4    0    4    0 | 600   *   *   *
x3o   . o5/3*a       30 |   60    0 |   20    0   12    0    0 |   * 120   *   *
x .   x5o5/3*a3*c    60 |   60   60 |    0   20   12    0   12 |   *   * 120   *
. o3/2x5o            30 |    0   60 |    0    0    0   20   12 |   *   *   * 120

x3o3/2x5/4o5/2*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 .   .   o5/2*a    |    5 |    5    0 |    *    * 1440    *    * |   0   1   1   0
. o3/2x   .         |    3 |    0    3 |    *    *    * 2400    * |   1   0   0   1
. .   x5/4o         |    5 |    0    5 |    *    *    *    * 1440 |   0   0   1   1
--------------------+------+-----------+--------------------------+----------------
x3o3/2x   .   *a3*c    12 |   12   12 |    4    4    0    4    0 | 600   *   *   *
x3o   .   o5/2*a       30 |   60    0 |   20    0   12    0    0 |   * 120   *   *
x .   x5/4o5/2*a3*c    60 |   60   60 |    0   20   12    0   12 |   *   * 120   *
. o3/2x5/4o            30 |    0   60 |    0    0    0   20   12 |   *   *   * 120

x3/2o3x5o5/3*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   . . o5/3*a    |    5 |    5    0 |    *    * 1440    *    * |   0   1   1   0
.   o3x .         |    3 |    0    3 |    *    *    * 2400    * |   1   0   0   1
.   . x5o         |    5 |    0    5 |    *    *    *    * 1440 |   0   0   1   1
------------------+------+-----------+--------------------------+----------------
x3/2o3x .   *a3*c    12 |   12   12 |    4    4    0    4    0 | 600   *   *   *
x3/2o . o5/3*a       30 |   60    0 |   20    0   12    0    0 |   * 120   *   *
x   . x5o5/3*a3*c    60 |   60   60 |    0   20   12    0   12 |   *   * 120   *
.   o3x5o            30 |    0   60 |    0    0    0   20   12 |   *   *   * 120

x3/2o3x5/4o5/2*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   . .   o5/2*a    |    5 |    5    0 |    *    * 1440    *    * |   0   1   1   0
.   o3x   .         |    3 |    0    3 |    *    *    * 2400    * |   1   0   0   1
.   . x5/4o         |    5 |    0    5 |    *    *    *    * 1440 |   0   0   1   1
--------------------+------+-----------+--------------------------+----------------
x3/2o3x   .   *a3*c    12 |   12   12 |    4    4    0    4    0 | 600   *   *   *
x3/2o .   o5/2*a       30 |   60    0 |   20    0   12    0    0 |   * 120   *   *
x   . x5/4o5/2*a3*c    60 |   60   60 |    0   20   12    0   12 |   *   * 120   *
.   o3x5/4o            30 |    0   60 |    0    0    0   20   12 |   *   *   * 120

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