Interesting Esoterica

Conway's Tiling Groups on JSTOR

Article by William P. Thurston
  • Published in 1990
  • Added on
John Conway disovered a technique using infinite, finitely presented groups that in a number of interesting cases resolves the question of whether a region in the plane can be tessellated by given tiles. The idea is that the tiles can be interpreted as describing relators in a group, in such a way that the plane region can be tiled, only if the group element which describes the boundary of the region is the trivial element 1.

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BibTeX entry

@article{ConwaysTilingGroupsonJSTOR,
	title = {Conway's Tiling Groups on JSTOR},
	abstract = {John Conway disovered a technique using infinite, finitely presented groups that in a number of interesting cases resolves the question of whether a region in the plane can be tessellated by given tiles. The idea is that the tiles can be interpreted as describing relators in a group, in such a way that the plane region can be tiled, only if the group element which describes the boundary of the region is the trivial element 1.},
	url = {https://www.jstor.org/stable/2324578},
	year = 1990,
	author = {William P. Thurston},
	comment = {},
	urldate = {2020-04-15},
	collections = {Fun maths facts,Geometry,The groups group}
}