What is dimension?

Curves are dimension $1$, surfaces have dimension $2$, but fractals have non-integer dimensions. But what is this ``dimension''? What does it really mean for the West coast of Britain to have dimension 1.25? After defining the Hausdorff dimension, I will compute that of some household fractals such as Cantor's set, Koch snowflake, and Sierpinski carpet. Expect to get your black-and-white copies of some fractals!

Tuesday, February 25, 2020 - 12:00 to 13:00

Thackeray 703

Speaker Information
Behnam Esmayli

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