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
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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
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https://www.semanticscholar.org/paper...
https://www.researchgate.net/publicat...

Links to Sources
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https://arxiv.org/abs/1806.09717
https://oeis.org/A002931