Fill in the square (new)
Geometry
Level
3
You can find only 2 kinds of puzzle pieces: The "I" ones and the "T" ones.
Can you use only 2 "I" pieces and 15 "T" pieces to form an 8x8 square?
Yes
Not always correct.
No
Paradox.
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1 solution
Say we're trying to cover a chessboard. Each T-tile covers three squares of one colour and one of the other. With 1 5 T-tiles overall, we must have an odd number of black squares covered and an odd number of white squares.
The only way this is possible is if there are 3 black squares and 1 white square left uncovered (or vice versa). Clearly these can't be covered with the two remaining I-tiles, so such a covering is impossible.