🤖 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.