The problem Euclid couldn't solve

Welcome back! This is my second video now and I really hope you enjoyed it! Please leave me any feedback, questions, etc. in the comments. ===Chapters=== 0:00 Introduction 0:29 Constructible polygons 2:06 Non constructible polygons 2:33 Constructing the 17 gon 3:42 Calculating with points 6:02 Constructible numbers 8:24 Why and how you can construct the 17 gon 15:04 Which polygons are constructible 16:27 Outro ===Acknowledgements=== At around 4:19 you construct the sum by translating the distances with the compass. I show the wrong distances. they're translated in parallel, not around the points. At around 4:50, the distance is not called "argument", that's the angle At around 5:30 I talk about the bigger and smaller triangles. It's more about the sides of the triangles and only in this case their relation is like that. But it doesn't have to be ===Made with=== Manim (https://www.manim.community/) ===Music=== Music by Vincent Rubinetti Download the music on Bandcamp: https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown Stream the music on Spotify: https://open.spotify.com/playlist/3zNK20qC96mVSww60lVi1k ===Tags=== #geometry #17gon #heptadecagon #polygon #euclid #gauss