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What is Free Groups and Tiling Patterns about?

This document discusses using free groups and tiling to prove that a particular shape cannot be tiled with a given set of polygons. It introduces the problem, then summarizes the Conway-Lagarias method which uses a free group on two generators to represent the polygons and tiling process algebraically. It shows that if the large shape could be tiled, it would imply a certain word is even, which leads to a contradiction.

Author

Bharat

Language

EN