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  • $\begingroup$ Lovely construction. Four is the definitely the minimum because each polyomino needs three neighbours. $\endgroup$ Commented Jul 24, 2023 at 2:22
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    $\begingroup$ I wonder if we can find a smaller polyomino? $\endgroup$ Commented Jul 24, 2023 at 3:14
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    $\begingroup$ @DmitryKamenetsky There is an octomino here. $\endgroup$ Commented Jul 24, 2023 at 6:46
  • $\begingroup$ oh cool! That must be optimal $\endgroup$ Commented Jul 24, 2023 at 6:59