Imaginary Cube Sculpture #2
(Cuboctahedron-like layout)




The object is placed in the center of the picture, and the surrounding three are reflected images in mirrors. The object is also an imaginary cube composed of the 16 representatives of the minimal convex imaginary cube classes, but with a different layout of the 16 components.

These two arrangements of the 16 imaginary cubes are obtained through the investigation of Latin squares of degree 4. This object has 4 holes of the shape of a triangular antiprismoid - also an imaginary cube - in the four blocks, and one hole of the shape of a regular octahedron in the middle.