Mentor/s
Professors Andrew Lazowski and Bernadette Boyle
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 and Major available
Mathematics
Location
Panel B: UC 107
Start Day/Time
4-21-2017 12:30 PM
End Day/Time
4-21-2017 1:45 PM
Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 License.
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.
