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 = 2.29179+
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.

11.
           12.
           13.
Σ s = 3
Found by Jonathan Viquerat
in July 2026. 		Σ s = 3.14733+
Found by Jonathan Viquerat
in July 2026. 		Σ s = 3.30108+
Found by Jonathan Viquerat
in July 2026.

14.
           15.
           16.
Σ s = 3.45203+
Found by Jonathan Viquerat
in July 2026. 		Σ s = 3.59224+
Found by Jonathan Viquerat
in July 2026. 		Σ s = 3.72987+
Found by Jonathan Viquerat
in July 2026.

17.
           18.
           19.
Σ s = 3.82697+
Found by Jonathan Viquerat
in July 2026. 		Σ s = 3.93702+
Found by Jonathan Viquerat
in July 2026. 		Σ s = 4.03601+
Found by Pedro Martins
in July 2026.

20.
           21.
           22.
Σ s = 4.12565+
Found by Jonathan Viquerat
in July 2026. 		Σ s = 4.20635+
Found by Joost de Winter
in September 2026. 		Σ s = 4.32883+
Found by Joost de Winter
in September 2026.

23.
           24.
           25.
Σ s = 4.41672+
Found by Joost de Winter
in September 2026. 		Σ s = 4.51805+
Found by Joost de Winter
in September 2026. 		Σ s = 4.63379+
Found by Joost de Winter
in September 2026.

26.
           27.
           28.
Σ s = 4.71126+
Found by Joost de Winter
in September 2026. 		Σ s = 4.83299+
Found by Joost de Winter
in September 2026. 		Σ s = 4.94906+
Found by Joost de Winter
in September 2026.

29.
           30.
           31.
Σ s = 5.03115+
Found by Joost de Winter
in September 2026. 		Σ s = 5.10215+
Found by Joost de Winter
in September 2026. 		Σ s = 5.17816+
Found by Joost de Winter
in September 2026.

32.
           33.
           34.
Σ s = 5.26153+
Found by Joost de Winter
in September 2026. 		Σ s = 5.31552+
Found by Joost de Winter
in September 2026. 		Σ s = 5.41556+
Found by Joost de Winter
in September 2026.

35.
           36.
           37.
Σ s = 5.45651+
Found by Joost de Winter
in September 2026. 		Σ s = 5.55377+
Found by Joost de Winter
in September 2026. 		Σ s = 5.60274+
Found by Joost de Winter
in September 2026.

38.
           39.
           40.
Σ s = 5.68485+
Found by Joost de Winter
in September 2026. 		Σ s = 5.72120+
Found by Joost de Winter
in September 2026. 		Σ s = 5.82584+
Found by Joost de Winter
in September 2026.

41.
           42.
           43.
Σ s = 5.92039+
Found by Joost de Winter
in September 2026. 		Σ s = 5.98979+
Found by Joost de Winter
in September 2026. 		Σ s = 6.08740+
Found by Joost de Winter
in September 2026.

44.
           45.
           46.
Σ s = 6.14495+
Found by Joost de Winter
in September 2026. 		Σ s = 6.20711+
Found by Joost de Winter
in September 2026. 		Σ s = 6.29584+
Found by Joost de Winter
in September 2026.

47.
           48.
           49.
Σ s = 6.36079+
Found by Joost de Winter
in September 2026. 		Σ s = 6.45021+
Found by Joost de Winter
in September 2026. 		Σ s = 6.47915+
Found by Joost de Winter
in September 2026.

50.
Σ s = 6.51774+
Found by Joost de Winter
in September 2026.