Acronym autic, J66
Name augmented truncated cube
 
 © ©
Vertex figures [3,43], [3,4,3,8], [3,82]
Lace city
in approx. ASCII-art
  o q o  
x w   w x
w       w
         
w       w
x w   w x
    x   x    
  x w   w x  
o     W     o  (W=qw)
             
o     W     o
  x w   w x  
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Dihedral angles
  • between {3} and {4} (at join):   arccos(-sqrt[(3+2 sqrt(2))/6]) = 170.264390°
  • between {3} and {4} (at squacu lacings):   arccos(-sqrt(2/3)) = 144.735610°
  • between {3} and {8} (at join):   arccos(-sqrt(2/3)) = 144.735610°
  • between {3} and {8} (at tic edges):   arccos(-1/sqrt(3)) = 125.264390°
  • between {8} and {8}:   90°
Confer
uniform relative:
tic  
related Johnson solids:
squacu   bautic  
External
links
wikipedia   mathworld

Incidence matrix

4 * * * * | 2 2 0 0 0 0 0 0 0 | 1 2 1 0 0 0 0  augmented
* 8 * * * | 0 1 1 1 1 0 0 0 0 | 0 1 1 1 1 0 0  join
* * 4 * * | 0 0 0 0 2 1 0 0 0 | 0 0 0 1 2 0 0  upper
* * * 4 * | 0 0 0 0 0 1 2 0 0 | 0 0 0 0 2 1 0  lower
* * * * 8 | 0 0 0 0 0 0 1 1 1 | 0 0 0 0 1 1 1  bottom
----------+-------------------+--------------
2 0 0 0 0 | 4 * * * * * * * * | 1 1 0 0 0 0 0
1 1 0 0 0 | * 8 * * * * * * * | 0 1 1 0 0 0 0
0 2 0 0 0 | * * 4 * * * * * * | 0 1 0 1 0 0 0
0 2 0 0 0 | * * * 4 * * * * * | 0 0 1 0 1 0 0
0 1 1 0 0 | * * * * 8 * * * * | 0 0 0 1 1 0 0
0 0 1 1 0 | * * * * * 4 * * * | 0 0 0 0 2 0 0
0 0 0 1 1 | * * * * * * 8 * * | 0 0 0 0 1 1 0
0 0 0 0 2 | * * * * * * * 4 * | 0 0 0 0 1 0 1
0 0 0 0 2 | * * * * * * * * 4 | 0 0 0 0 0 1 1
----------+-------------------+--------------
4 0 0 0 0 | 4 0 0 0 0 0 0 0 0 | 1 * * * * * *  top {4}
2 2 0 0 0 | 1 2 1 0 0 0 0 0 0 | * 4 * * * * *  augmenting {4}
1 2 0 0 0 | 0 2 0 1 0 0 0 0 0 | * * 4 * * * *  augmenting {3}
0 2 1 0 0 | 0 0 1 0 2 0 0 0 0 | * * * 4 * * *  upper {3}
0 2 2 2 2 | 0 0 0 1 2 2 2 1 0 | * * * * 4 * *  latteral {8}
0 0 0 1 2 | 0 0 0 0 0 0 2 0 1 | * * * * * 4 *  lower {3}
0 0 0 0 8 | 0 0 0 0 0 0 0 4 4 | * * * * * * 1  bottom {8}

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