| Title: | Soccer-Ball Symmetries: Exploring Symmetric Patterns on Spheres |
| Speaker: | David A. Reimann Professor Department of Mathematics and Computer Science Albion College Albion, Michigan |
| Abstract: | The goal of this talk is to introduce the general language of symmetry and explore the related mathematics. In this talk we will give a very visual and hands-on look at symmetric patterns, particularly patterns that can be made by three-dimensional objects that can be enclosed within a sphere. This talk will assume only basic algebra skills and will be accessible to a general audience. Decorating objects with repeating symmetry patterns increases their visual appeal. Each of these symmetry patterns can be studied using the mathematics of group theory. On an infinite strip there are exactly seven types of repeating patterns, called frieze patterns. Similarly, there are exactly seventeen types of repeating patterns, called wallpaper patterns, that can be used to decorate the plane. On the sphere, there are 14 families of patterns, called soccer-ball symmetries, with seven related to frieze patterns and seven related to symmetries of platonic solids. We will explore thes! e symmetry patterns, learn how to identify each pattern, and understand the underlying mathematical concepts. |
| Location: | Palenske 227 |
| Date: | 9/29/2022 |
| Time: | 3:30 PM |
@abstract{MCS:Colloquium:DavidAReimann:2022:9:29,
author = "{David A. Reimann}",
title = "{Soccer-Ball Symmetries: Exploring Symmetric Patterns on Spheres}",
address = "{Albion College Mathematics and Computer Science Colloquium}",
month = "{29 September}",
year = "{2022}"
}