A Group Portrait on a Surface of Genus Five

Year: 2009 Authors: Jay Zimmerman

Core claim

A genus-5 surface can be used to construct a visual portrait of SG(32,2) in the style of Burnside.

Topics

finite group portraits, surface genus 5, Burnside-style transformations, hyperbolic tilings

Domains

group theory, topology, combinatorial geometry, hyperbolic geometry, mathematical visualization, surface modeling, graphical design, paper model

Methods

fundamental region labeling, surface identification, transformation composition, blueprint construction

Media

Geometer’s Sketchpad, Magma, paper model, graph drawing

Source status

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