Squares in Triangles

The following pictures show n squares with the largest possible sum of sides packed inside a unit equilateral triangle.

1.
           2.
           3.
Σ s = 2√3–3 = .46410+
Trivial. 		Σ s = 18–10√3 = .67949+
Found by Erich Friedman
in June 2026. 		Σ s = .93064+
Found by Jonathan Viquerat
in June 2026.

4.
           5.
           6.
Σ s = 1.07948+
Found by Jonathan Viquerat
in June 2026. 		Σ s = 1.22888+
Found by Jonathan Viquerat
in June 2026. 		Σ s = 1.40088+
Found by Jonathan Viquerat
in June 2026.

7.
           8.
           9.
Σ s = 1.51535+
Found by Jonathan Viquerat
in June 2026. 		Σ s = 1.63240+
Found by Jonathan Viquerat
in June 2026. 		Σ s = 1.75264+
Found by Jonathan Viquerat
in June 2026.

10.
           11.
           12.
Σ s = 1.86570+
Found by Jonathan Viquerat
in June 2026. 		Σ s = 1.96484+
Found by Jonathan Viquerat
in June 2026. 		Σ s = 2.05916+
Found by Jonathan Viquerat
in June 2026.

13.
           14.
           15.
Σ s = (3122√3–4872)/253 = 2.14253+
Found by Jonathan Viquerat
in June 2026. 		Σ s = (118√3–180)/11 = 2.23885+
Found by Jonathan Viquerat
in June 2026. 		Σ s = 10√3–15 = 2.33159+
Found by Jonathan Viquerat
in June 2026.

16.
           17.
           18.
Σ s = 2.41865+
Found by Jonathan Viquerat
in June 2026. 		Σ s = 2.49320+
Found by Jonathan Viquerat
in June 2026. 		Σ s = 2.57051+
Found by Jonathan Viquerat
in June 2026.

19.
           20.
           21.
Σ s = 2.64520+
Found by Jonathan Viquerat
in June 2026. 		Σ s = 2.72358+
Found by Jonathan Viquerat
in June 2026. 		Σ s = 2.79406+
Found by Jonathan Viquerat
in June 2026.