cubes can be filled with a polycube "snake" that turns by right angles at every step. The solutions for these three cubes are given here.
The display of the polycubes is optional; their positions are represented by black points connected by a polyline.
Such a snaking path can be found for all cuboids
except for the following cases:
(Karl Scherer 1982; the proof is very easy.)
THINGS TO TRY
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Published: March 7, 2011
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