A square with side length 49 is completely tiled with the following non-overlapping shapes: 600 1×4 rectangles and a unit square. Find the number of possible locations of the unit square.
(In reply to
Parity by Brian Smith)
Although this rules out all but the 169 identified squares, it doesn't prove all of these are actually possible. (I do think they are possible)
Also your 'other diagonal' approach doesn't rule out a few more squares
A***A***A
*********
**B***B**
*********
A***A***A
*********
**B***B**
*********
A***A***A
But I don't think these B squares are possible.
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Posted by Jer
on 2024-12-06 11:17:45 |