Residue Designs, String Art, and Number Theory

Year: 2023 Authors: David Richeson

Core claim

Residue designs become single-string constructions exactly when n is prime and a is a primitive root of n.

Topics

residue designs, string art, primitive roots, modular arithmetic, epicycloids

Domains

number theory, group theory, modular arithmetic, Euler’s totient function, string art, mathematical visualization, geometric design, cardioid and nephroid forms

Methods

mod n iteration, primitive root testing, brute force checking, table of prime cases

Media

string, nails, circle on paper, cardboard, ruler and pencil

Source status

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