A Fish Pattern on a Regular Triply Periodic Polyhedron

Year: 2022 Authors: Douglas Dunham; Lisa Shier

Core claim

A fish pattern on {6,6|3} resolves the remaining aesthetic flaw of earlier triply periodic fish designs by making all fish swim head-to-tail along parallel backbone lines.

Topics

triply periodic polyhedra, Escher-inspired tessellation, backbone line symmetry, papercraft pattern design

Domains

geometry, tessellations, polyhedra, Schläfli symbols, mathematical art, pattern design, papercrafting, embroidery

Methods

geometric analysis, comparative design revision, papercraft prototyping, symmetry reasoning

Media

card stock, paper model, fish motif, colored pattern

Source status

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