22afc2a0ca
Co-authored-by: Oliver Eyton-Williams <ojeytonwilliams@gmail.com> Co-authored-by: Kristofer Koishigawa <scissorsneedfoodtoo@gmail.com> Co-authored-by: Beau Carnes <beaucarnes@gmail.com>
72 lines
1.3 KiB
Markdown
72 lines
1.3 KiB
Markdown
---
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id: 5900f4b91000cf542c50ffcb
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challengeType: 5
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isHidden: false
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title: 'Problem 332: Spherical triangles'
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forumTopicId: 301990
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---
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## Description
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<section id='description'>
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A spherical triangle is a figure formed on the surface of a sphere by three great circular arcs intersecting pairwise in three vertices.
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Let C(r) be the sphere with the centre (0,0,0) and radius r.
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Let Z(r) be the set of points on the surface of C(r) with integer coordinates.
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Let T(r) be the set of spherical triangles with vertices in Z(r).
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Degenerate spherical triangles, formed by three points on the same great arc, are not included in T(r).
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Let A(r) be the area of the smallest spherical triangle in T(r).
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For example A(14) is 3.294040 rounded to six decimal places.
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Find A(r). Give your answer rounded to six decimal places.
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</section>
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## Instructions
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<section id='instructions'>
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</section>
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## Tests
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<section id='tests'>
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```yml
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tests:
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- text: <code>euler332()</code> should return 2717.751525.
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testString: assert.strictEqual(euler332(), 2717.751525);
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```
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</section>
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## Challenge Seed
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<section id='challengeSeed'>
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<div id='js-seed'>
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```js
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function euler332() {
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// Good luck!
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return true;
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}
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euler332();
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```
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</div>
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</section>
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## Solution
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<section id='solution'>
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```js
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// solution required
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```
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</section>
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