The following pictures show n tans with leg 1 packed inside the smallest known squares (of side s ).
1.
2.
3.
s = 1
Trivial.
s = 1
Trivial.
s = √2 = 1.414+
Trivial.
4.
5.
6.
s = √2 = 1.414+
Trivial.
s = 1.788+
Found by Maurizio Morandi
in August 2007.
s = 1.937+
Found by Maurizio Morandi
in February 2008.
7.
8.
9.
s = 1.999+
Found by Maurizio Morandi
in August 2007.
s = 2
Trivial.
s = 3/2 + 1/√2 = 2.207+
Found by Erich Friedman
in March 2005.
10.
11.
12.
s = 2.393+
Found by Maurizio Morandi
in January 2008.
s = 1 + √2 = 2.414+
Found by Maurizio Morandi
in August 2007.
s = 2.612+
Found by Maurizio Morandi
in January 2008.
13.
14.
15.
s = 2.688+
Found by Maurizio Morandi
in March 2008.
s = 2.767+
Found by Maurizio Morandi
in October 2007.
s = 2.828+
Found by Maurizio Morandi
in August 2007.
16.
17.
18.
s = 2√2 = 2.828+
Trivial.
s = 2.970+
Found by David W. Cantrell
in August 2007.
s = 3
Trivial.
19.
20.
21.
s = 3.201+
Found by Maurizio Morandi
in February 2008.
s = 2 + 9√2/10 = 3.272+
Found by Maurizio Morandi
in February 2008.
s = 3.340+
Found by Maurizio Morandi
in March 2008.
22.
23.
24.
s = 3.392+
Found by Maurizio Morandi
in December 2007.
s = 3.464+
Found by Maurizio Morandi
in December 2007.
s = 3.517+
Found by David W. Cantrell
in August 2007.