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 city
in 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}

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