Portraits of Groups on Bordered Surfaces

Year: 2016 Authors: Jay Zimmerman

Core claim

Bordered Klein surfaces can be tessellated to produce visual group portraits that encode finite group actions, especially for M* groups and other small-real-genus examples.

Topics

group actions, bordered Klein surfaces, visual tessellations, real genus

Domains

finite group theory, topological genus, surface automorphisms, graphical group representations, mathematical visualization, tessellation design, surface modeling, artistic geometry

Methods

fundamental region tessellation, polygonal representation, quotient construction, color-coded labeling

Media

tetrahedron model, sphere with holes, double torus diagram, figures

Source status

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