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
```