Visualizing Symmetry Subgroup Structures Using Simple Motifs

Year: 2018 Authors: David A. Reimann

Core claim

Using subgroup structure to assign different motifs creates designs that retain partial integration with the overall symmetry and help visualize group relationships.

Topics

symmetry subgroup visualization, dihedral groups, wallpaper groups, motif-based design

Domains

group theory, subgroup lattices, dihedral groups, wallpaper groups, pattern design, decorative motifs, visual composition, symmetry in art

Methods

motif assignment by subgroup, matrix representation, finite-region wrapping, illustrative examples

Media

facial feature drawings, flower motifs, 2D symmetry images, computer graphics

Source status

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