Document Type

Article

Publication Date

Summer 8-6-2020

First Advisor

Joshua Holden

Abstract

Braids in a traditional sense and braids in a mathematical sense are wildly different outlooks on the same concept. Using cellular automata to represent and analyze braids is a way to bridge the gap between them. Joshua and Lana Holden and Hao Yang have previously worked on developing and expanding upon a Stranded Cellular Automata (SCA) model capable of representing many different braids and weaves. Continuing their work, we were able to devise a more user-friendly method for interacting with the model such that even those without a mathematical background can construct and analyze braids of their own. This paper will also discuss the addition of space-varying and time-varying rulesets to expand upon the types of braids and weaves the SCA model is able to represent.

Comments

The Processing program referenced in the paper can be found at https://github.com/Nirb8/SCA-Processing.

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