Drawing Numbers and Listening to Patterns

Name

• Loren Zo Haynes, Georgia Southern UniversityFollow

Publication Date

4-20-2016

Major

Mathematics (B.S.)

Release Option

Open Access

Faculty Mentor

Hua Wang

Abstract

The triangular numbers is a series of number that add the natural numbers. Parabolic shapes emerge when this series is placed on a lattice, or imposed with a limited number of columns that causes the sequence to continue on the next row when it has reached the kth column. We examine these patterns and construct proofs that explain their behavior. We build off of this to see what happens to the patterns when there is not a limited number of columns, and we formulate the graphs as musical patterns on a staff, using each column as a line or space on the treble staff. By listening to the pattern, we can pick up on elements of the pattern that are missed by simply glancing over the graphic or formulaic versions.

Copyright

This work is archived and distributed under the repository's Standard Copyright and Reuse License (opens in new tab). End users may copy, store, and distribute this work without restriction. For all other uses, permission must be obtained from the copyright owners or their authorized agents.

Recommended Citation

Haynes, Loren Zo, "Drawing Numbers and Listening to Patterns" (2016). Honors College Theses. 187.
https://digitalcommons.georgiasouthern.edu/honors-theses/187