Braids on the Stranded Cellular Automata Model

📅 2026-09-08
📈 Citations: 0
Influential: 0
📄 PDF
🤖 AI Summary
研究通过定义辫子在SCA模型中的表示,并提供算法来判断具有特定属性的辫子是否能在SCA中被表示,解决了纤维艺术中图案分析的问题。
📝 Abstract
The Stranded Cellular Automata (SCA) model is a grid of cells such that each cell can contain 0, 1, or 2 strands, together with two cellular automata that control when and how strands turn and cross. It was developed to study patterns occurring in fiber arts. We define a notion of what it means for a braid, in the sense of an element of a braid group, to be represented by an SCA pattern, and provide several algorithms to determine when a braid has an SCA representation with certain additional properties.
Problem

Research questions and friction points this paper is trying to address.

Braids
Stranded Cellular Automata
Representation
Innovation

Methods, ideas, or system contributions that make the work stand out.

Braids
Stranded Cellular Automata
Representation
Algorithms
Fiber Arts
🔎 Similar Papers
No similar papers found.
💼 Related Jobs
No related jobs found.
A
Alexa Renner
Department of Mathematics, Rose-Hulman Institute of Technology, 5500 Wabash Ave., Terre Haute, IN 47803, USA