Using Triangle Sierpinski Relatives to Visualize Subgroups of the Symmetries of the Square

Year: 2023 Authors: Tara Taylor

Core claim

Triangle relatives can generate new square-convex-hull fractals that make the subgroups of the symmetries of the square visible.

Topics

Sierpinski relatives, dihedral groups, iterated function systems, convex hulls, fractal visualization

Domains

fractal geometry, group theory, dihedral groups D4, iterated function systems, computational topology, mathematical visualization, generative art, fractal design

Methods

IFS modification, subgroup labeling, convex hull analysis, fractal composition

Media

computer-generated figures, square fractals, triangle relatives, spiral patterns

Source status

This page publishes metadata and extracted analytical signals only. Raw PDF and full OCR text are kept local for now.