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dansmath — octahedral worm tour
#animation #geometry #math #mathart #polyhedron #dansmath
Published: 2018-01-27 18:53:59 +0000 UTC; Views: 1112; Favourites: 2; Downloads: 0
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Description
This color worm traces out the 12 green edges of the octahedron, once each. That's called an Eulerian circuit. There is one revolution for each four traces of the circuit. It visits each of the six vertices twice. Can you predict where the worm is going at each corner?Related content
Comments: 3
That’s the “Seven Bridges Of Königsberg” problem, isn’t it?
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Thanks for the comment! I'm not sure I'm expert enough to write an article, but I'll think about it!
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I seem to remember reading about Eulerian paths in Coxeter's book Regular polytopes. Nice treatment!
You think you could write an article on these paths? It would be a neat journal post to upload to the Polyhedronist group.
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