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 = (63–31√3)/10 = .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 = (327–171√3)/22 = 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 = 1.75581+
Found by Haowei Lin
in July 2026.

10.
           11.
           12.
Σ s = 1.86607+
Found by Haowei Lin
in July 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 = 2.15473+
Found by Haowei Lin
in July 2026. 		Σ s = 2.24352+
Found by Haowei Lin
in July 2026. 		Σ s = 2.33280+
Found by Haowei Lin
in July 2026.

16.
           17.
           18.
Σ s = 2.41865+
Found by Jonathan Viquerat
in June 2026. 		Σ s = 2.49817+
Found by Haowei Lin
in July 2026. 		Σ s = 2.57855+
Found by Haowei Lin
in July 2026.

19.
           20.
           21.
Σ s = 2.65121+
Found by Haowei Lin
in July 2026. 		Σ s = 2.72533+
Found by Haowei Lin
in July 2026. 		Σ s = 2.80200+
Found by Haowei Lin
in July 2026.