An Embroidered (3,7) Hyperbolic Butterfly Pattern

Year: 2024 Authors: Douglas Dunham; Lisa Shier

Core claim

Computer-controlled embroidery can successfully realize a (3,7) hyperbolic butterfly pattern with filled areas, curved lines, and spots.

Topics

hyperbolic geometry, embroidery, tessellation, M.C. Escher

Domains

hyperbolic plane, Poincaré disk model, regular tessellations, orbifold notation, fiber art, textile design, mathematical art, pattern design

Methods

digital pattern tracing, embroidery software workflow, machine stitching, stabilization layering

Media

black cotton duck canvas, Floriani embroidery thread, Husqvarna Epic machine, Floriani stabilizer

Source status

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