Paper https://hbaktash.github.io/files/rolling_dragons_paper.pdf and more related stuff on the page of one of the authors https://hbaktash.github.io/

I love this !!

Only kinda related but I love having the opportunity to share this website, cataloging every possible fair die: http://www.aleakybos.ch/Shapes.htm

(ie: not the sort of die in the post, they must have identical faces. this thread gave me a new appreciation for the non equal faced dice tho)

I don’t think it gets much better than this. How exceedingly clever.

Does this mean 2d physics simulators are about to get N times faster? Because that'd be cool if N is big enough.

I don't have enough time to read the paper in full right now. But I'm curious if using this they could possibly find the solution to the 3 sided coin problem. I haven't heard anything about it since I watched the matt parker video about it.

https://youtu.be/-qqPKKOU-yY

Or I guess if anyone else knows the answer, that would also satisfy my curiosity.

I tried to apply the Pass the Pigs probabilities to the game scenario

Points / Name / Probabilities

15 / Leaning Jowler / 3.8%

60 / Double Leaning Jowler / 0.14%

05 / Razorback / 20.9%

20 / Double Razorback / 4.37%

05 / Trotter / 10.2%

20 / Double Trotter / 1.04%

10 / Snouter / 5.4%

40 / Double Snouter / 0.29%

(Dot Side 27.2% Non Dot Side 32.5%)

01 / Sider / 18.0%

loose all points for turn and end turn / Pigout / 17.7%

loose all points in game and end turn / Oinker / ??

eliminated from game / Piggy Back / ??

Reference https://www.youtube.com/watch?v=cxmQqXTvlaA