Acronym tutic Name blend of 2 truncated cubes Circumradius sqrt[7+4 sqrt(2)]/2 = 1.778824 Vertex figure [3,82], [3,8,3/2,8/7] Lace cityin approx. ASCII-art ``` x x w w x w w x x w w x w w x x ``` Coordinates ((1+sqrt(2))/2, (1+sqrt(2))/2, 1/2)   & all permutations, all changes of sign ((1+sqrt(2))/sqrt(2), 0, 1/2)             & permutations in all but last coordinate, all changes of sign Dihedral angles between {3} and {8} (at tic edges):   arccos(-1/sqrt(3)) = 125.264390° between {8} and {8}:   90° between {3} and {8} (at pseudo {8}):   arccos(sqrt(2/3)) = 35.264390° Confer blend-component: tic

This blend is obtained from 2 mutually gyrated tics. It thereby becomes a tube.

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

Incidence matrix

```(pseudo {8} || pseudo w-scaled 2{4}-compound || pseudo w-scaled 2{4}-compound || pseudo {8})   → outer heights = 1/sqrt(2) = 0.707107
inner height = 1

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}
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}
```