Acronym quit gashi Name quasitruncated grand stellated hecatonicosachoron Cross sections ` ©` Circumradius sqrt[(13-5 sqrt(5))/2] = 0.953850 Externallinks

As abstract polytope quit gashi is isomorphic to tighi, thereby replacing the pentagons by pentagrams and decagrams by decagons, resp. replacing quit sissid by tigid and replacing gad by sissid. – As such quit gashi is a lieutenant.

Incidence matrix according to Dynkin symbol

```o5/2o5x5/3x

.   . .   . | 1440 |    5   1 |    5   5 |   1   5
------------+------+----------+----------+--------
.   . x   . |    2 | 3600   * |    2   1 |   1   2
.   . .   x |    2 |    * 720 |    0   5 |   0   5
------------+------+----------+----------+--------
.   o5x   . |    5 |    5   0 | 1440   * |   1   1
.   . x5/3x |   10 |    5   5 |    * 720 |   0   2
------------+------+----------+----------+--------
o5/2o5x   . ♦   12 |   30   0 |   12   0 | 120   *
.   o5x5/3x ♦   60 |   60  30 |   12  12 |   * 120
```

```o5/2o5/4x5/3x

.   .   .   . | 1440 |    5   1 |    5   5 |   1   5
--------------+------+----------+----------+--------
.   .   x   . |    2 | 3600   * |    2   1 |   1   2
.   .   .   x |    2 |    * 720 |    0   5 |   0   5
--------------+------+----------+----------+--------
.   o5/4x   . |    5 |    5   0 | 1440   * |   1   1
.   .   x5/3x |   10 |    5   5 |    * 720 |   0   2
--------------+------+----------+----------+--------
o5/2o5/4x   . ♦   12 |   30   0 |   12   0 | 120   *
.   o5/4x5/3x ♦   60 |   60  30 |   12  12 |   * 120
```

```o5/3o5x5/3x

.   . .   . | 1440 |    5   1 |    5   5 |   1   5
------------+------+----------+----------+--------
.   . x   . |    2 | 3600   * |    2   1 |   1   2
.   . .   x |    2 |    * 720 |    0   5 |   0   5
------------+------+----------+----------+--------
.   o5x   . |    5 |    5   0 | 1440   * |   1   1
.   . x5/3x |   10 |    5   5 |    * 720 |   0   2
------------+------+----------+----------+--------
o5/3o5x   . ♦   12 |   30   0 |   12   0 | 120   *
.   o5x5/3x ♦   60 |   60  30 |   12  12 |   * 120
```

```o5/3o5/4x5/3x

.   .   .   . | 1440 |    5   1 |    5   5 |   1   5
--------------+------+----------+----------+--------
.   .   x   . |    2 | 3600   * |    2   1 |   1   2
.   .   .   x |    2 |    * 720 |    0   5 |   0   5
--------------+------+----------+----------+--------
.   o5/4x   . |    5 |    5   0 | 1440   * |   1   1
.   .   x5/3x |   10 |    5   5 |    * 720 |   0   2
--------------+------+----------+----------+--------
o5/3o5/4x   . ♦   12 |   30   0 |   12   0 | 120   *
.   o5/4x5/3x ♦   60 |   60  30 |   12  12 |   * 120
```