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Physicists Have Created The World's Most Fiendishly Difficult Maze (using Ammann-Beenker aperiodic tiling and Hamiltonian cycles, possibly mimicking quasicrystal structures) (www.sciencealert.com)

submitted 4 months ago by ragica@lemmy.ml to c/science@mander.xyz

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[–] mathemachristian@lemm.ee 9 points 4 months ago* (last edited 4 months ago) (2 children)

the group has generated routes called Hamiltonian cycles

i only know this term which is simply a cycle going through all nodes, so Im going to assume there is a much easier way to explain what they achieved but the journalists are trying to be obtuse in order to sound smart.

[–] ragica@lemmy.ml 10 points 4 months ago (1 children)

Ha ha, maybe. The article is pretty short. However, the actual paper linked at the bottom of the article is titled "Hamiltonian cycles on Ammann-Beenker Tilings" (unfortunately I can only see the abstract), so the original authors are also responsible!

It's my thinking that the key point of thr Hamiltonian cycle in this context is it visits nodes only once thereby creating a unique path. The trick here seems to be then joining those paths for a collection of subgraphs? I'm really not sure. It's a bit beyond me, but I find it interesting to think about.

[–] mathemachristian@lemm.ee 4 points 4 months ago* (last edited 4 months ago)

Its fine for a scientific paper, expected even, but this is meant to be an article for the non-experts.

The trick here seems to be then joining those paths for a collection of subgraphs?

ooh I do love me some graph theory so I am going to look more into this thanks!