Here are just a handful of videos or articles I found really interesting. I've limited it to one entry per author, which was hard because in some cases I love several of a creator's works.

Videos

Ever wonder how Bitcoin (and other cryptocurrencies) actually work?
by 3Blue1Brown (Grant Sanderson)
All of 3Blue1Brown's videos have amazing animation and amazing math content. This video is more real-world focused that most of them.
The Timeline of River Song
by The Confession Dial
I like timelines in general. This video is a great editing job showing the life of one Doctor Who character whose timeline often runs contrary to the main show's events.
The Feigenbaum Constant
by Ben Sparks on Numberphile
Numberphile has a ton of math videos, with a handful of different mathematicians talking about a bunch of different topics.
Star Trek Catan [...] TableTop S2E08
by Wil Wheaton on Geek & Sundry
Board games (or "tabletop" games to include things like card games) are usually just something I do in person, but I thought I should include one video about it.
Times Tables, Mandelbrot and the Heart of Mathematics
by Mathologer (Burkard Polster)
While the other math channels I'm linking to here report very nicely on pre-existing math content, Mathologer actually has original results in some of their videos.
Bell's Theorem: The Quantum Venn Diagram Paradox
by Minute Physics (Henry Reich)
This particular video is actually a collaboration between Minute Physics and 3B1B (of the bitcoin video above). Plenty of MP's solo videos are also great.
9.999... reasons that .999... = 1
by Vihart (Victoria Hart)
Vihart's "Doodling in Math Class" series has several gems, but I picked this video (not from that series) because I really appreciate the line "mathematics is about making up rules and seeing what happens."

Readings

"Chances Are"
by Steven Strogatz
This article has some wonderful examples of how people are easily confused by probability and suggestions of ways to make certain probability statements more accessible.
"Aria with Diverse Variations"
by Douglas Hofstadter
From Gödel, Escher, Bach, Hofstadter's book exploring connections and concepts in mathemtaicals, art, and music. This is one of several dialoges presented between Achilles and the Tortoise.
"Is the square a secure polygon?"
by Tai-Danae Bradley (Math3ma)
Maryam Mirzakhani asked this question during a lecture in 2014, and audience member Emily Riehl came up with the solution presented here after a few weeks.
© 2022 by Adam Abrams