Puzzling Asked on March 1, 2021
Inspired by The five problems of the six domino tiles, where one of the tasks was to place six domino tiles so that each tile touches three others (corner / edge touches don’t count). My solution there required putting domino tiles on top of each other, and the OP (not the author of the puzzle) thought there is no 2D solution.
Now, if we increase the number of tiles, we can certainly make a 2D solution, e.g. the following one using 16 tiles:
A natural question/puzzle is therefore to ask:
What pattern uses the minimum number of tiles?
Rules:
Based on your 16-tile example I reduced it down to
Sketch of proof why this is minimal:
Correct answer by Jaap Scherphuis on March 1, 2021
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