257-gon Construction

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
316 lines
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...