The Mosaic Problem - How and Why to do Math for Fun

This video is about the benefits of having your own math problem on the backburner. I discuss these benefits in the context of the mosaics problem. The purpose of the video is to motivate prospective math students to pick up their pencils and give a problem a try. I also show some cool formulas. This is my submission for the Summer of Math Exposition Contest for 2023 (#some3). Special thanks to Kim for providing the excellent hand-drawn animations in this video. *This video is intended for students that have taken an introductory calculus course. Sections -------------------------------------------------------- 0:00 Who cares? 0:30 Backburner Problems 1:51 Introducing My Problem 2:58 My Initial Work 7:53 Course I: Probability 8:25 Course II: Intro To Programming 9:15 Course III: Combinatorics 15:34 Further Questions 17:19 Outro Links to Suggested Reading -------------------------------------------------------- https://www.semanticscholar.org/paper... https://www.researchgate.net/publicat... Links to Sources -------------------------------------------------------- https://arxiv.org/abs/1806.09717 https://oeis.org/A002931