Dominoes in Squares
The following pictures show n dominoes with short sides 1, 2, . . . n packed inside the smallest square (of side length s). All of these are probably optimal, except for possibly n=20.


1.

s = 2
Trivial.
2.

s = 4
Trivial.
3.

s = 6
Trivial.
4.

s = 8
Trivial.
5.

s = 11
Found by Erich Friedman in 1998.
6.

s = 14
Found by Erich Friedman in 1998.
7.

s = 17
Found by Erich Friedman in 1998.
8.

s = 21
Found by Erich Friedman in 1998.
9.

s = 24
Found by Erich Friedman in 1998.
10.

s = 28
Found by Erich Friedman in 1998.
11.

s = 32
Found by Erich Friedman in 1998.
12.

s = 37
Found by Erich Friedman in 1998.
13.

s = 41
Found by Erich Friedman in 1998.
14.

s = 46
Found by Erich Friedman in 2004.
15.

s = 50
Found by Erich Friedman in 2004.
16.

s = 55
Found by Erich Friedman in 2004.
17.

s = 60
Found by Erich Friedman in 2004.
18.

s = 66
Found by Erich Friedman in 2004.
19.

s = 71
Found by Erich Friedman in 2004.
20.

s = 76
Found by Maurizio Morandi in 2014.
21.

s = 82
Found by Erich Friedman in 2014.
22.

s = 88
Found by Erich Friedman in 2014.
23.

s = 94
Found by Erich Friedman in 2014.
24.

s = 100
Found by Erich Friedman in 2014.


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