How many regular polygons are there???

Video Description

This video explores definitional ambiguity relating to regular polygons, which heavily affects what ultimately counts towards the total. Part 2 of this series will cover spherical, hyperbolic, and 3+ dimensional geometry. Part 3 will answer how many regular polyhedra there are. Reputable sources defining polygon: https://en.wikipedia.org/wiki/Polygon https://math.libretexts.org/Bookshelves/Geometry/Elementary_College_Geometry_(Africk)/07%3A_Regular_Polygons_and_Circles https://mathworld.wolfram.com/Polygon.html https://archive.org/details/regularpolytopes0000hsmc/page/328/mode/1up https://www.math.stonybrook.edu/~bishop/classes/math126.F20/CRC-math-tables.pdf https://www.emgywomenscollege.ac.in/templateEditor/kcfinder/upload/files/Encyclopaedia%20in%20Mathematics.pdf chapters: 0:00 intro 2:42 polygrams 6:21 degenerate shapes 8:30 apeirogon 11:22 compounds 14:55 irrationals 17:32 zig zag 21:12 interpretations #shapes #geometry #maths