257-gon Construction
Автор: Doggo's Science
Загружено: 2024-10-22
Просмотров: 10109
Sorry if there are any visual glitches. Please refer to the GIF in https://upload.wikimedia.org/wikipedi... if you are confused.
Also credits to https://kenbrakke.com/RulerAndCompass... for the formulas of the points.
Numbers are shown in case you want to replicate this digitally.
To construct a 257-gon, you need:
500 arcs
24 Carlyle circles
59 lines (excluding 257 sides of polygon)
49 points (excluding points of the finished polygon)
257-gons are the second largest constructible polygons with a prime number of sides, and probably the largest prime side polygon that is practical to construct. This is because the largest constructible polygon, the 65537-gon, would take hundreds of hours to construct if it were put it in video form.
A Carlyle circle is a circle that touches the point 0,1. It mimics a quadratic function as it can be used to find the zeroes of a quadratic equation. Carlyle circles is the primary method used to construct this polygon.
Link to the project: https://turbowarp.org/1081604267/edit...
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