I rediscovered this nice paper by Kenneth P. Bogart in my Interesting Esoterica collection, and decided to read through it. It turned out that, while the solution presented is very neat, there’s quite a bit of hard work to do to along the way. I’m not particularly experienced with combinatorics, so the little facts that the paper skips over took me quite a while to verify.
Once I was happy with the proof, I decided to record a video explaining how it works. Here it is:
I probably made mistakes. If you spot one, please write a polite correction in the comments.
If you were wondering what happened with all the left-over wrapping paper from this morning’s post about wallpaper groups, Katie has made a YouTube video demonstrating some mathematical quirks of gift wrapping. Enjoy!
Our good friends at Maths Gear have sent us a tube of “unique polyhedral dice” to review. The description on mathsgear.co.uk says they’re “made from polyhedra you don’t normally see in the dice world”. My first thought was that we should test they’re fair by getting David to throw them a few thousand times but — while David was up for it — I’d have to keep score, which didn’t sound fun.
So instead we thought of some criteria we can judge the dice on, and sat down with a teeny tiny video camera. Here’s our review: