Fractal Gaskets: Reptiles, Hamiltonian Cycles, and Spatial Development

Year: 2016 Authors: Robert W. Fathauer

Core claim

Reptile-based fractal gaskets can generate many distinct 2D and 3D structures, including Hamiltonian curves and polyhedra with architectural and natural aesthetics.

Topics

fractal gaskets, self-replicating tiles, Hamiltonian cycles, spatial development

Domains

fractal geometry, graph theory, polyhedra, mathematical art, architectural form, 3D printing

Methods

iterative substitution, Hamiltonian cycle tracing, spatial extrusion

Media

polygonal tiles, polyhedral models, 3D prints

Source status

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