Honors Program Theses


Open Access Honors Program Thesis

First Advisor

Catherine Miller


Because ambigrams are a relatively new concept, I found little mathematical research on them. Throughout this paper, I will address the role of ambigrams as a mathematical entity, an artistic outlet, and even an educational tool. Along with ways to use ambigrams, there are also descriptions of the nine different types of ambigrams, and a chart that can be used to create two of the most common types of ambigrams. Mathematically, ambigrams contain many symmetrical aspects, which are important to the study of Geometry. Within this, I have researched mathematical aspects of three of the ambigram types and found some of their specific properties. The symmetries of the designs are also closely related to art. Scott Kim lays out the artistic aspects of ambigrams, but I also did some designing of my own to create the letter chart. While working with ambigrams, I also discovered ways these designs could be used within an educational classroom. Because ambigrams can be elements of several different fields, it is easy to make connections between these fields for students working with ambigrams.

Year of Submission



Department of Mathematics

University Honors Designation

A thesis submitted in partial fulfillment of the requirements for the designation University Honors


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Date Original


Object Description

1 PDF file (16 pages)