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.