Acronym tuquith Name blend of 2 quasitruncated cubes Circumradius sqrt[7-4 sqrt(2)]/2 = 0.579471 Vertex figure [3,(8/3)2], [3,8/3,3/2,8/5] Coordinates ((sqrt(2)-1)/2, (sqrt(2)-1)/2, 1/2)   & all permutations, all changes of sign ((sqrt(2)-1)/sqrt(2), 0, 1/2)            & permutations in all but last coordinate, all changes of sign Dihedral angles between {8/3} and {8/3}:   90° between {3} and {8/3} (at quith edges):   arccos(1/sqrt(3)) = 54.735610° between {3} and {8/3} (at pseudo {8/3}):   arccos(sqrt(2/3)) = 35.264390° Confer blend-component: quith

This blend is obtained from 2 mutually gyrated quiths.

As abstract polytope tuquith is isomorphic to tutic, thereby replacing octagrams by octagons.

Incidence matrix

```8 * * * | 2  2 0  0 0 | 2 2 0
* 8 * * | 0  2 1  0 0 | 1 2 0
* * 8 * | 0  0 1  2 0 | 0 2 1
* * * 8 | 0  0 0  2 2 | 0 2 2
--------+-------------+------
2 0 0 0 | 8  * *  * * | 1 1 0
1 1 0 0 | * 16 *  * * | 1 1 0
0 1 1 0 | *  * 8  * * | 0 2 0
0 0 1 1 | *  * * 16 * | 0 1 1
0 0 0 2 | *  * *  * 8 | 0 1 1
--------+-------------+------
2 1 0 0 | 1  2 0  0 0 | 8 * *
2 2 2 2 | 1  2 2  2 1 | * 8 *  {8/3}
0 0 1 2 | 0  0 0  2 1 | * * 8
```
```or
16  * |  2  2 0 |  2 2
* 16 |  0  2 1 |  1 2
------+---------+-----
2  0 | 16  * * |  1 1
1  1 |  * 32 * |  1 1
0  2 |  *  * 8 |  0 2
------+---------+-----
2  1 |  1  2 0 | 16 *
4  4 |  2  4 2 |  * 8  {8/3}
```