The following pictures show n tans (with short side 1) packed inside the smallest known pentagon (with side s).
1.
2.
3.
s = .87403+
Trivial.
s = .93686+
Found by Jonathan Viquerat
in May 2026.
s = 1.10580+
Found by Jonathan Viquerat
in May 2026.
4.
5.
6.
s = 1.28056+
Found by Jonathan Viquerat
in May 2026.
s = 1.38606+
Found by Jonathan Viquerat
in May 2026.
s = 1.50657+
Found by Jonathan Viquerat
in May 2026.
7.
8.
9.
s = 1.62694+
Found by Jonathan Viquerat
in May 2026.
s = 1.71964+
Found by Jonathan Viquerat
in May 2026.
s = 1.79909+
Found by Thomas Greenleaf
in June 2026.
10.
11.
12.
s = 1.87393+
Found by Thomas Greenleaf
in June 2026.
s = 1.95640+
Found by Jake Loyd
in June 2026.
s = 2.02754+
Found by Jake Loyd
in June 2026.
13.
14.
15.
s = 2.10941+
Found by Jake Loyd
in June 2026.
s = 2.16639+
Found by Jake Loyd
in June 2026.
s = 2.25710+
Found by Jake Loyd
in June 2026.
16.
17.
18.
s = 2.32695+
Found by Jake Loyd
in June 2026.
s = 2.38607+
Found by Jake Loyd
in June 2026.
s = 2.44578+
Found by Jake Loyd
in June 2026.
19.
20.
21.
s = 2.53585+
Found by Jake Loyd
in June 2026.
s = 2.59169+
Found by Jake Loyd
in June 2026.
s = 2.65501+
Found by Jake Loyd
in June 2026.
22.
s = 2.71124+
Found by Jake Loyd
in June 2026.