Sandpiles Question  



If you don't know what sandpiles are and you haven't watched Numberphile's video on the topic, here is the Link: . If you are all caught up, here is the question:

The set S described in the video is indeed a group (by addition). Can you prove that any set you wish in which you start with a 3x3 sandpile and only include the sandpiles added on is a group? You do not need to prove this for all sets, just one of your choice. If you prove it for all sets, you get bonus points.

(Hint: Find identity sandpile algorithm and inverse sandpile algorithm)

That one guy that's always on

I think your link is wrongly formatted Lucas. Can you delete it and re-do the copying of the link. I would really like to see the video!


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