How to Construct a 257gon
>> YOUR LINK HERE: ___ http://youtube.com/watch?v=677OFHy7GIs
This algorithm also applies to triangles, pentagons, 17-gons, and 65537-gons (all fermat prime polygons)! • You may have known the steps to construct a 257-gon from my previous videos, but I never told you why 257-gons are constructed like they are. I tried to simplify the math as much as possible: The most advanced concept in this video is the sigma notation. • Correction at 6:33. Other prime numbers can also have numbers which generates all the integers. I didn't realize that 129 wasn't prime, which is why it didn't work for 129. The real reason why only Fermat primes work is probably due to it being 1 more than a power of 2, and the method to find a point involves dividing by 2 repeatedly until you reach 1, which is only possible if the number points to divide is a power of 2. • A huge thanks to: • https://kenbrakke.com/RulerAndCompass... • https://www.researchgate.net/publicat... • Timestamps: • 0:00 Intro • 0:26 Fermat Primes • 01:36 Nth Roots of Unity • 03:46 Finding the X Position of a Point • 15:28 Constructing the Polygon
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