Pentagons in Pentagons

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.