N Our 2D Era

Publication Date

Spring 2026

Presentation Length

30 minutes

College

College of Sciences & Mathematics

Department

Math and Computer Science, Department of

Student Level

Undergraduate

Faculty Mentor

Dr. Ryan Fox, Dr. Adam Cartisano

Presentation Type

Talk/Oral

Summary

In our previous work, we explored the higher dimensional analogues for Primitive Pythagorean Triples (PPTs) both algebraically and geometrically. In this session, we take a curiosity driven exploration of primitive Pythagorean results in two dimensions, emphasizing the recognition of patterns within differently defined collections of PPTs and observing predictable frequencies and occurrences of non-PPTs. What possible connections exist between this creative exploration and the higher dimensional analogues?

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