1.3 KiB
1.3 KiB
id | challengeType | title |
---|---|---|
5900f4511000cf542c50ff63 | 5 | Problem 228: Minkowski Sums |
Description
vk (k = 1,2,…,n) have coordinates:
xk =
cos( 2k-1/n ×180° )
yk =
sin( 2k-1/n ×180° )
Each Sn is to be interpreted as a filled shape consisting of all points on the perimeter and in the interior.
The Minkowski sum, S+T, of two shapes S and T is the result of
adding every point in S to every point in T, where point addition is performed coordinate-wise:
(u, v) + (x, y) = (u+x, v+y).
For example, the sum of S3 and S4 is the six-sided shape shown in pink below:
How many sides does S1864 + S1865 + … + S1909 have?
Instructions
Tests
tests:
- text: <code>euler228()</code> should return 86226.
testString: assert.strictEqual(euler228(), 86226, '<code>euler228()</code> should return 86226.');
Challenge Seed
function euler228() {
// Good luck!
return true;
}
euler228();
Solution
// solution required