Some Hyperbolic Fractal Tilings

Year: 2014 Authors: Robert W. Fathauer

Core claim

Hyperbolic fractal tilings can be built from triangular, trapezoidal, and dart-shaped prototiles to produce finite 3D surfaces with organic, sometimes leaf-like forms.

Topics

fractal tilings, hyperbolic tilings, non-planar surfaces, geometric art

Domains

hyperbolic geometry, fractal geometry, tiling theory, vertex angle sums, mathematical art, generative design, paper folding, aesthetic surface modeling

Methods

paper models, computer modeling, Mathematica, iterative folding rules

Media

paper, Mathematica, triangles, trapezoids, dart-shaped prototiles

Source status

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