Скачать или смотреть Can you draw Regular Shapes perfectly on a Grid?

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We explore which regular polygons (that is, shapes with equal-length sides and equal interior angles) can be drawn on a grid with their vertices at integer coordinates. In the end, we cover 4 different arguments (some more detailed than others) and finish off with one of my favourite visual proofs!

Software: (entirely) Davinci Resolve

Source for the solution at the end: https://jdh.hamkins.org/no-regular-po...
(I found all the other solutions myself)

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Chapters:
0:00 The Problem
0:50 Equilateral Triangles
4:43 All Regular Polygons
12:53 More (Very Pretty) Proofs!!

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Music:
It's Raining Somewhere Else - Toby Fox (Undertale)
Undercover Vampire Policeman - Chris Zabriskie
Dancing Star - Aakash Gandhi
Waterfall - Aakash Gandhi