(Similar to the recent 3:1 and my 3:2 rectangle question)
Tile a square completely with rectangles which have aspect ratio 1:2, integral side lengths and all different sizes. In other words selected from 1x2, 2x4, 3x6 etc. Usual tiling rules apply: No gaps, no overlaps.
- Find the smallest area tiling.
- Find the smallest area tiling with with the fewest rectangles.
The answer to (1) is not the same as the answer to (2).
Tagged as no-computers, but probably should be tagged computer-puzzle as well. Also tagged as logical-deduction.
I found these by computer, but a Google search turned up a paper that answers both parts and proves (2) minimal.