1.3 KiB
1.3 KiB
id | title | challengeType | forumTopicId | dashedName |
---|---|---|---|---|
5900f4511000cf542c50ff62 | Problem 226: A Scoop of Blancmange | 5 | 301869 | problem-226-a-scoop-of-blancmange |
--description--
The blancmange curve is the set of points (x
,y
) such that 0 ≤ x ≤ 1
and \displaystyle y = \sum_{n = 0}^{\infty} \frac{s(2^nx)}{2^n}
, where s(x)
is the distance from x
to the nearest integer.
The area under the blancmange curve is equal to \frac{1}{2}
, shown in pink in the diagram below.
Let C
be the circle with centre (\frac{1}{4}
,\frac{1}{2}
) and radius \frac{1}{4}
, 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
--hints--
scoopOfBlancmange()
should return 0.11316017
.
assert.strictEqual(scoopOfBlancmange(), 0.11316017);
--seed--
--seed-contents--
function scoopOfBlancmange() {
return true;
}
scoopOfBlancmange();
--solutions--
// solution required