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Let's have 312 L-trominoes of three different colors, 104 trominoes of each color. Can you fill a 26x36 grid with these trominoes without two of the same colors touching side-to-side anywhere? In addition, the trominoes should not form any 2x3 rectangles.

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  • $\begingroup$ Are the trominoes all L-trominoes? Does "touching" also include meeting at a corner? $\endgroup$
    – Magma
    Commented Mar 11, 2021 at 19:33
  • $\begingroup$ All trominoes are L-shaped. Meeting at a corner is allowed. $\endgroup$ Commented Mar 11, 2021 at 19:38

1 Answer 1

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Here is one solution:

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It appears there are many others.

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  • $\begingroup$ Οut of thousands of MAPS your computer choose the most simple. Computers lack imagination. $\endgroup$ Commented Mar 12, 2021 at 17:42
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    $\begingroup$ I solved this by hand, tiling a 26x36 grid with 4x6 rectangles. "Be creative" wasn't a requirement in the problem description, so simplicity it is. $\endgroup$
    – Magma
    Commented Mar 12, 2021 at 18:02

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