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 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
I don’t think it gets much better than this. How exceedingly clever.
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.
Looks like that post author forgot to loop back to the original question once they found a model that fit their own simulations.
Just visually going off the chart, the answer is a "coin" has a 1/3 chance of landing on its edge when its height is 1.7x its radius, or 0.85x its diameter. (the blog author used half-height and the paper he found uses full height)
[deleted]
Does this mean 2d physics simulators are about to get N times faster? Because that'd be cool if N is big enough.
> our key observation is that we can identify dynamically stable configurations of a rigid body, and calculate their associated probabilities
> this model is purely geometric, and does not directly account for momentum
answer: no