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2016-02-02 23:09:33 Post No. 48102
Post No. 48102
I must generate the smallest polymino, which when copied, can not overlay a rectangle of infinite size.
The smallest I've generated so far is 19-mino.
My hypothesis is that it's bigger than a 12-mino and smaller than a 19-mino.
Top = 20-mino, which meets the requirements. To the right of it - the placement of it's copies in order to achieve max coverable surface (10).
Middle = 16-mino, which does not meet the requirements. Copying it, a rectangle of infinite area can be achieved.
Bottom = 19-mino, which is the smallest I've found that meets the requirements.