Check out Jane Street's icosahedron puzzle:
https://www.janestreet.com/IMO2022/

2022 International Mathematical Olympiad!
https://www.imo2022.org/

If you want those d60 and d120 we sell them on Maths Gear or you can go direct to The Dice Lab.
https://mathsgear.co.uk/collections/dice
https://www.mathartfun.com/thedicelab...

Here is my terrible python code.
https://github.com/standupmaths/highe...

Thanks to Gilad Levy for sending in the question. This is the best collection of maths about the problem we found at the time: https://rpg.stackexchange.com/questio...

But much of that looks at getting a certain value OR GREATER whereas I focused on specific values and the average value.

I’ve also noticed that Chalkdust just beat me with a similar article. Nice to see a different way (induction) to derive the same probability of getting specific value equation! https://chalkdustmagazine.com/feature...

Cheers to my Patreons for buying me all those dice. If you think I still don't have enough dice, get involved here:   / standupmaths  

CORRECTIONS
Yes, on the bar chart axis it goes 2%, 4%, 2%, 4% instead of 2%, 4%, 6%, 8%. First spotted and pointed out by Deadeaded. It was just because I was copying and pasting in photoshop and forgot to edit it. Not because I was making that chart in a bar.
At 23:07 I have (n=1) in the graphics which should be (n1). Or maybe I put in two and you should pick the highest. (Pointed out by Leick Robinson.)
Marco Davi correctly noticed that the fifth Rhombic Dodecahedral Number is 369, not the 269 you see at 21:46.
Let me know if you spot any other mistakes!

Filming and editing by Alex GennBash
Dice gluing by Alex GennBash
Putting 1/n in front of everything by 1/nMatt 1/nParker
Music by Howard Carter
Design by Simon Wright and Adam Robinson