First and Last Name/s of Presenters

Amy EllisFollow

Title of Poster or Paper

Exploring Hausdorff Dimension

Mentor/s

Professors Andrew Lazowski and Bernadette Boyle

Location

Panel B: UC 107

Start Day/Time

4-21-2017 12:30 PM

End Day/Time

4-21-2017 1:45 PM

Abstract

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.

College

College of Arts and Sciences

College and Major available

Mathematics

Keywords

Hausdorff dimension, Mathematics, Nonnatural number

Document Type

Essay

Creative Commons License

Creative Commons Attribution-Noncommercial-Share Alike 3.0 License
This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 License.

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Apr 21st, 12:30 PM Apr 21st, 1:45 PM

Exploring Hausdorff Dimension

Panel B: UC 107

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.

 

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