1/6 Sharing this again as I think it is great that he is making this series and also overnight I& #39;ve remembered the (likely) video that he mentions in the 2nd tweet. https://twitter.com/wtgowers/status/1385364812239183872">https://twitter.com/wtgowers/...

2/6 The video is Richard Rusczyk of @AoPSNews live solving this problem (video at the end of this thread to (somewhat) avoid spoilers). The problem seems almost unapproachable but Richard& #39;s solution is incredibly instructive (especially for students) and extremely beautiful.

3/6 But there are also wonderful non-video examples. I appreciate the mention in Gowers& #39; thread, but my interest in these live solve examples being useful and instructive to students was inspired by a live solve blog post of his from 2014: https://gowers.wordpress.com/2014/07/19/mini-monomath/">https://gowers.wordpress.com/2014/07/1...

4/6 That inspired me to do my own live solve blog post of this problem from the 2016 European Girls& #39; Math Olympiad (this, I think, is *not* the EGMO problem referenced in Gowers& #39; thread). I think this is a great problem to "live solve":

5/6 **sort of spoiler** This one is likely the EGMO problem referenced in Gowers& #39; thread. It is an absolutely brilliant problem with an beautiful and instructive solution, and if there were 1,000 live solves of this problem I& #39;d never grow tired of watching them:

6/6 Finally, here& #39;s the video from Richard Rusczyk that I think is 100% terrific as a "live solve" example to show how mathematicians think through problems: https://www.youtube.com/watch?v=pGIFwVH1sxY">https://www.youtube.com/watch...