A Scoop of Blancmange
Problem 226
The blancmange curve is the set of points such that and , where is the distance from to the nearest integer.
The area under the blancmange curve is equal to ½, shown in pink in the diagram below.
Let C be the circle with centre and radius , shown in black in the diagram.
What area under the blancmange curve is enclosed by C?
Give your answer rounded to eight decimal places in the form 0.abcdefgh
Give your answer rounded to eight decimal places in the form 0.abcdefgh