| Title: | Visual Representations of Natural Numbers using Geometric Patterns |
| Speaker: | David A. Reimann Professor Mathematics and Computer Science Albion College Albion, Michigan |
| Abstract: | Natural numbers can be visually represented by a geometric arrangement of simple visual motifs. This representation is not unique because any partition of an integer $n$ can generate at least one geometric pattern. Thus the number of partitions of $n$ is a lower bound on the number of geometric patterns. For example, there are 17977 partitions for the number 36; it is both a square number $(6^2)$ and a triangular number $(1 + 2 + 3 + 4 + 5 + 6 + 7 + 8).$ Aesthetic considerations often favor patterns with some degree of symmetry, such as patterns that fix a single point or wallpaper patterns. A series of geometric designs for the numbers 1–100 were created to visually highlight some properties of each number. The designs use a variety of motifs and arrangements to provide a diverse yet cohesive collection. One application of these patterns is as a teaching tool for helping students recognize and generalize patterns and sequences. |
| Location: | Palenske 227 |
| Date: | 9/16/2021 |
| Time: | 3:30 PM |
@abstract{MCS:Colloquium:DavidAReimann:2021:9:16,
author = "{David A. Reimann}",
title = "{Visual Representations of Natural Numbers using Geometric Patterns}",
address = "{Albion College Mathematics and Computer Science Colloquium}",
month = "{16 September}",
year = "{2021}"
}