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 = 1.82809+
Found by Jonathan Viquerat
in May 2026.
10.
11.
12.
s = 1.90559+
Found by Jonathan Viquerat
in May 2026.
s = 1.98302+
Found by Jonathan Viquerat
in May 2026.
s = 2.04974+
Found by Jonathan Viquerat
in May 2026.
13.
14.
15.
s = 2.14496+
Found by Jonathan Viquerat
in May 2026.
s = 2.24666+
Found by Jonathan Viquerat
in May 2026.
s = 2.29167+
Found by Jonathan Viquerat
in May 2026.
16.
17.
18.
s = 2.38551+
Found by Jonathan Viquerat
in May 2026.
s = 2.45056+
Found by Jonathan Viquerat
in May 2026.
s = 2.50436+
Trivial.
19.
20.
s = 2.61353+
Found by Jonathan Viquerat
in May 2026.
s = 2.64506+
Found by Jonathan Viquerat
in May 2026.