Thursday, March 16, 2017

[xpvcdfst] Cubes with blocks taken out

Divide a cube into 27 smaller cubes, 3x3x3.  Consider subsets of the smaller cubes which are visually distinct (modulo rotation) when viewed from the outside: essentially the presence of the center cube only matters when one of the center face cubes is missing, providing a window.

Perhaps only consider rotations around the vertical axis.  The bottom face is attached to the ground and cannot provide a window to the center cube.

Add constraints that the cubes must be connected through faces.  Or that they must be stable. The 4 corner cubes on the bottom face must be present.

Subsets of edges is better: there is no obstruction by faces hiding things behind them.

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