Tuesday, October 25, 2016

[vwwsnaes] Nearly square rectangles

Rectangles whose dimensions differ by at most 2.  27 items, or 44 if allowing rotations.

1x1=1 2x1=2 3x1=3 2x2=4 3x2=6 4x2=8 3x3=9 4x3=12 5x3=15 4x4=16 5x4=20 6x4=24 5x5=25 6x5=30 7x5=35 6x6=36 7x6=42 8x6=48 7x7=49 8x7=56 9x7=63 8x8=64 9x8=72 10x8=80 9x9=81 10x9=90 10x10=100

Rectangles whose aspect ratio is between 1 and 2.  17 items, or 33 if allowing rotations.

1x1=1 10x9=90 9x8=72 8x7=56 7x6=42 6x5=30 5x4=20 9x7=63 4x3=12 7x5=35 10x7=70 3x2=6 8x5=40 5x3=15 7x4=28 9x5=45 2x1=2

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