The following pictures show n pentagons packed inside a unit pentagon, so that the total sum of the sides of the small pentagons is as large as possible.
1.-2.
3.
4.
Σ s = 1
Trivial.
Σ s = 1.38672+
Found by Jonathan Viquerat
in July 2026.
Σ s = 1.70075+
Found by Jonathan Viquerat
in July 2026.
5.
6.
7.
Σ s = 1.93875+
Found by Jonathan Viquerat
in July 2026.
Σ s = 9–3√5 = 2.29180+
Found by Jonathan Viquerat
in July 2026.
Σ s = 2.42629+
Found by Jonathan Viquerat
in July 2026.
8.
9.
10.
Σ s = 2.56572+
Found by Jonathan Viquerat
in July 2026.
Σ s = 2.70998+
Found by Jonathan Viquerat
in July 2026.
Σ s = 2.85146+
Found by Jonathan Viquerat
in July 2026.