Let us define a(adsbygoogle = window.adsbygoogle || []).push({}); progression of polyominoes with n termsas a sequence of n polyominoes, starting with the single square (the monomino), such that every shape is obtained by adding a square to the previous polyomino in the sequence.

Conjecture:Every progression of polyominoes with 6 terms can be extended to a progression of polyominoes with 8 terms so that the set of shapes thus obtained can fill a 6x6 square.

Please post any particularly nasty-looking cases and perhaps someone will be able to help. Good luck!

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# Progressions of polyominoes

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