A Symmetry Classification of Columns

Year: 1998 Authors: Martin Golubitsky; Ian Melbourne

Core claim

All closed symmetry subgroups of a column can be classified by reducing to subgroups of SO(2) ⊕ R and analyzing their normalizers.

Topics

symmetry classification, architectural columns, group actions, conjugacy classes

Domains

group theory, symmetry groups, Lie groups, subgroup classification, architecture, decorative columns, historical ornament, design analysis

Methods

classification theorem, normalizer analysis, group action modeling, case-by-case subgroup enumeration

Media

cylindrical columns, level contours, Figures 1-13, flattened cylinder diagrams

Source status

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