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#math

Regular tilings of the 2D plane

June 03, 2021

I recently came across Euclidean tilings by convex regular polygons, which is super interesting. The problem is to fill the entire (infinite) 2D plane with non-overlapping regular polygons. The simplest case is to use a single regular polygon of fixed size - called Regular Tilings.

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What is a variety?

Of course, I am not talking about the English word “variety” here, which everyone knows the meaning. I am referring to algebraic varieties. These are the primary objects one studies in algebraic geometry. I am no expert on the subject, but I have a little understanding of the concept. I would like to share my thoughts and insights by showing some elementary and common examples everyone would have seen sometime or the other - completely unaware that they are varieties in disguise!

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