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Exploring Hausdorff Dimension, Amy Ellis
Exploring Hausdorff Dimension, Amy Ellis
Academic Festival
We live in a 3-dimensional world. We know 2-dimensional objects as those we can see on paper. But what would an object with a nonnatural number (a number that isn't a whole positive number) dimension look like? These dimensions exist and some unique mathematical sets have such dimensions, like log2/log3 . We call such dimensions and its tool Hausdorff dimension. In my talk, I examine Hausdorff dimension and its famous examples including the Cantor Set and multiple manipulations of it.