>>666
周長L = 4 - {a+b-√(aa+bb)} - {c+d-√(cc+dd)} - {e+f-√(ee+ff)} < 4,

例1
 a = b = c = d = e = f = 1 - 1/√2 = 0.2929
 面積 S = 1 - (3/2)aa = (6√2-5)/4 = 0.87132
 周長 L = 5(√2 -1) + 2(1/√2) = 6√2 - 5 = 3.485281
 S/LL = 0.07173022

正7角形の S/LL = 1/{4n・tan(π/n)} = 0.07416148 より小さい。