4 ms·
From a mathematician quoted about the non-reflective monotile: > She said she expects the specter and its relatives "will lead to a deeper understanding of ord
by abeppu 3y ago
From a mathematician quoted about the non-reflective monotile:
> She said she expects the specter and its relatives "will lead to a deeper understanding of order in nature and the nature of order."
So, for a lay person, this tile seems like a cool curiosity, but it's not clear why it should tell us anything more general about something so broad as "the nature of order". Can someone with a better grasp of the relationship between tiling and other domains explain why one might expect the implications to be wider?
- throw_pm23 3y agoIf I recall correctly, the existence of aperiodic tilings had ramifications e.g. for the kinds of crystal structures that can arise in nature. The fact that a single tile can do it seems like an even more fundamental statement, even if concrete implications are not yet in sight.
- hgsgm 3y agoIt's a generic throwaway statement.
- MobiusHorizons 3y agoMy guess would be this is a call for research funding rather than a concrete expectation.