Changing Spots: Using Combinatorics to Count Japanese Braiding Patterns

Year: 2022 Authors: Joshua Holden

Core claim

De Bruijn’s theorem shows Neilson’s 2-color catalog was four patterns short and extends the counting method to other color distributions and braid types.

Topics

kumihimo, Kongō Gumi, symmetry counting, color equivalence, braid cataloging

Domains

combinatorics, Pólya enumeration, group actions, de Bruijn’s theorem, enumerative analysis, fiber art, textile design, braiding patterns

Methods

de Bruijn’s theorem, cycle analysis, computer enumeration, Maple code, Combinatorial Object Server

Media

fiber strands, foam disk, marudai, braided cords, images and tables

Source status

This page publishes metadata and extracted analytical signals only. Raw PDF and full OCR text are kept local for now.