Acronym ...
Name external blend of the square-antiprism prism and 2 cube-pyramids,
cubic-pyramid-biaugmented square-antiprism prism
  
 ©
Lace city
in approx. ASCII-art 
   o4o   
x4o   x4o	-- x x4o (cube)
         
         
o4x   o4x	-- x o4x (gyro cube)
   o4o   

 |     |
 |     +-- s2s4s (squap)
 +-------- s2s4s (squap)
Dihedral angles
  • at {4} between squippy and trip:   arccos[(1-sqrt(2)-sqrt[sqrt(8)])/sqrt(6)] = 148.836160°
  • at {4} between squap and squippy:   135°
  • at {4} between trip and trip:   arccos[(1-2 sqrt(2))/3] = 127.551603°
  • at {3} between squippy and squippy:   120°
  • at {3} between squap and trip:   90°
Face vector 18, 56, 60, 22
Confer
general polytopal classes:
CRF  

Incidence matrix

16 * | 1  2  2  1 | 2 2 2  3 1  2 | 3 1 2 1
 * 2 | 0  0  0  8 | 0 0 0  0 4  8 | 0 0 4 2  verf: cube
-----+------------+---------------+--------
 2 0 | 8  *  *  * | 2 2 0  0 1  0 | 3 0 2 0  prism lacings
 2 0 | * 16  *  * | 1 0 1  1 0  1 | 1 1 1 1  base sides
 2 0 | *  * 16  * | 0 1 0  2 0  0 | 2 1 0 0  antiprism lacings
 1 1 | *  *  * 16 | 0 0 0  0 1  2 | 0 0 2 1  pyramid lacings
-----+------------+---------------+--------
 4 0 | 2  2  0  0 | 8 * *  * *  * | 1 0 1 0
 4 0 | 2  0  2  0 | * 8 *  * *  * | 2 0 0 0
 4 0 | 0  4  0  0 | * * 4  * *  * | 0 1 0 1
 3 0 | 0  1  2  0 | * * * 16 *  * | 1 1 0 0
 2 1 | 1  0  0  2 | * * *  * 8  * | 0 0 2 0
 2 1 | 0  1  0  2 | * * *  * * 16 | 0 0 1 1
-----+------------+---------------+--------
 6 0 | 3  2  4  0 | 1 2 0  2 0  0 | 8 * * *  trip
 8 0 | 0  8  8  0 | 0 0 2  8 0  0 | * 2 * *  squap
 4 1 | 2  2  0  4 | 1 0 0  0 2  2 | * * 8 *  squippy
 4 1 | 0  4  0  4 | 0 0 1  0 0  4 | * * * 4  squippy

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