Acronym quadippady Name quasidisprismatodishecatonicosachoron,Unholey Terror Cross sections ` ©` Circumradius sqrt(2) = 1.414214 General of army hi Colonel of regiment dattady Externallinks

The quasidisprismatodishecatonicosachoron is an edge-faceting of the ditetrahedronary dishecatonicosachoron (dattady). As such it is a fissary polychoron (Type A), as its vertices are coincident by 4 and edges coincident by pairs. Thus it looks like Type B. Its vertex figure is a (mostly empty) compound faceting of x3v3o.

As abstract polytope quadippady is automorph, thereby replacing pentagons by pentagrams, resp. replacing doe by gissid and pip by stip.

Incidence matrix according to Dynkin symbol

```x5o3o5/3x – Type A

. . .   . | 2400 |    3    3 |    3    6    3 |   1   3   3   1
----------+------+-----------+----------------+----------------
x . .   . |    2 | 3600    * |    2    2    0 |   1   2   1   0
. . .   x |    2 |    * 3600 |    0    2    2 |   0   1   2   1
----------+------+-----------+----------------+----------------
x5o .   . |    5 |    5    0 | 1440    *    * |   1   1   0   0
x . .   x |    4 |    2    2 |    * 3600    * |   0   1   1   0
. . o5/3x |    5 |    0    5 |    *    * 1440 |   0   0   1   1
----------+------+-----------+----------------+----------------
x5o3o   . ♦   20 |   30    0 |   12    0    0 | 120   *   *   *
x5o .   x ♦   10 |   10    5 |    2    5    0 |   * 720   *   *
x . o5/3x ♦   10 |    5   10 |    0    5    2 |   *   * 720   *
. o3o5/3x ♦   20 |    0   30 |    0    0   12 |   *   *   * 120
```

```x5o3/2o5/2x – Type A

. .   .   . | 2400 |    3    3 |    3    6    3 |   1   3   3   1
------------+------+-----------+----------------+----------------
x .   .   . |    2 | 3600    * |    2    2    0 |   1   2   1   0
. .   .   x |    2 |    * 3600 |    0    2    2 |   0   1   2   1
------------+------+-----------+----------------+----------------
x5o   .   . |    5 |    5    0 | 1440    *    * |   1   1   0   0
x .   .   x |    4 |    2    2 |    * 3600    * |   0   1   1   0
. .   o5/2x |    5 |    0    5 |    *    * 1440 |   0   0   1   1
------------+------+-----------+----------------+----------------
x5o3/2o   . ♦   20 |   30    0 |   12    0    0 | 120   *   *   *
x5o   .   x ♦   10 |   10    5 |    2    5    0 |   * 720   *   *
x .   o5/2x ♦   10 |    5   10 |    0    5    2 |   *   * 720   *
. o3/2o5/2x ♦   20 |    0   30 |    0    0   12 |   *   *   * 120
```

```x5/4o3o5/2x – Type A

.   . .   . | 2400 |    3    3 |    3    6    3 |   1   3   3   1
------------+------+-----------+----------------+----------------
x   . .   . |    2 | 3600    * |    2    2    0 |   1   2   1   0
.   . .   x |    2 |    * 3600 |    0    2    2 |   0   1   2   1
------------+------+-----------+----------------+----------------
x5/4o .   . |    5 |    5    0 | 1440    *    * |   1   1   0   0
x   . .   x |    4 |    2    2 |    * 3600    * |   0   1   1   0
.   . o5/2x |    5 |    0    5 |    *    * 1440 |   0   0   1   1
------------+------+-----------+----------------+----------------
x5/4o3o   . ♦   20 |   30    0 |   12    0    0 | 120   *   *   *
x5/4o .   x ♦   10 |   10    5 |    2    5    0 |   * 720   *   *
x   . o5/2x ♦   10 |    5   10 |    0    5    2 |   *   * 720   *
.   o3o5/2x ♦   20 |    0   30 |    0    0   12 |   *   *   * 120
```

```x5/4o3/2o5/3x – Type A

.   .   .   . | 2400 |    3    3 |    3    6    3 |   1   3   3   1
--------------+------+-----------+----------------+----------------
x   .   .   . |    2 | 3600    * |    2    2    0 |   1   2   1   0
.   .   .   x |    2 |    * 3600 |    0    2    2 |   0   1   2   1
--------------+------+-----------+----------------+----------------
x5/4o   .   . |    5 |    5    0 | 1440    *    * |   1   1   0   0
x   .   .   x |    4 |    2    2 |    * 3600    * |   0   1   1   0
.   .   o5/3x |    5 |    0    5 |    *    * 1440 |   0   0   1   1
--------------+------+-----------+----------------+----------------
x5/4o3/2o   . ♦   20 |   30    0 |   12    0    0 | 120   *   *   *
x5/4o   .   x ♦   10 |   10    5 |    2    5    0 |   * 720   *   *
x   .   o5/3x ♦   10 |    5   10 |    0    5    2 |   *   * 720   *
.   o3/2o5/3x ♦   20 |    0   30 |    0    0   12 |   *   *   * 120
```

```Type B

600 |   12 |   12   24   12 |   4  12  12   4
-----+------+----------------+----------------
2 | 3600 |    2    4    2 |   1   3   3   1
-----+------+----------------+----------------
5 |    5 | 1440    *    * |   1   1   0   0
4 |    4 |    * 3600    * |   0   1   1   0
5 |    5 |    *    * 1440 |   0   0   1   1
-----+------+----------------+----------------
♦ 20 |   30 |   12    0    0 | 120   *   *   *
♦ 10 |   15 |    2    5    0 |   * 720   *   *
♦ 10 |   15 |    0    5    2 |   *   * 720   *
♦ 20 |   30 |    0    0   12 |   *   *   * 120
```