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An n-omino is a two-dimensional polygon composed of n congruent squares glued together via the edges. For instance, the 4-ominoes are the Tetris shapes.

It is famously known that one can tile a 6-by-10 rectangle using a complete set 12 5-ominoes: example taken from https://benhoyt.com/writings/python-pentomino/ example taken from https://benhoyt.com/writings/python-pentomino/

There are 108 7-ominoes, and 27ร—28 = 21ร—36 = 18ร—42 = 7ร—108. The question is: is it possible to tile an (a) 27-by-28 rectangle, (b) 21-by-36 rectangle, or (c) 18-by-42 rectangle using a complete set of 108 7-ominoes? And the catch is that you CANNOT use any words in your answer! Have fun! :-)

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a) 27 x 28:

27 x 28

b) 21 x 36:

21 x 36

c) 18 x 42:

18 x 42

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    $\begingroup$ ๐Ÿค”...๐Ÿค”... ๐Ÿ˜ฒ!!๐Ÿ‘Œ!! $\endgroup$ Commented Sep 3 at 15:25
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