A Geometrical Representation and Visualization of Möbius Transformation Groups

Year: 2017 Authors: Kento Nakamura; Kazushi Ahara

Core claim

Iterated Inversion System (IIS) enables real-time visualization of Möbius transformation groups and their 2D and 3D fractal orbits through geometric inversion generators.

Topics

Kleinian groups, circle inversion fractals, 3D group visualization, real-time rendering

Domains

Möbius transformations, Kleinian group theory, sphere inversions, Cayley graph traversal, computer graphics art, fractal visualization, mathematical art, interactive web application

Methods

Iterated Inversion System, breadth-first search, parallel rendering, geometric generators

Media

circles, lines, spheres, planes

Source status

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