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Touching Planar Polycubes

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polycube
1
problem a
cubes per tile:
2
tiles displayed:
4
of
4
tiles displayed
tile opacity
floor
floor grid
floor opacity
A planar polycube is a polycube that can be placed in such a way that it extends only one cube high into the third dimension. For each known integer
n
, here are the smallest known planar polycubes such that
n
congruent copies all touch each other.
This problem area is far from fully analyzed or understood and you might well find better solutions than the ones presented here.
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