Sphairahedra and Three-Dimensional Fractals

Year: 2018 Authors: Kento Nakamura; Kazushi Ahara

Core claim

Variations of sphairahedra beyond the earlier cube-type case produce previously unseen tilings and fractal boundaries that remain mathematically and visually significant.

Topics

sphairahedra, three-dimensional fractals, tiling patterns, limit sets, quasi-Fuchsian groups

Domains

hyperbolic geometry, Möbius transformations, group actions, fractal geometry, computer graphics, scientific visualization, geometric art

Methods

face inversions, iterative tiling, parameter-space exploration, 3D rendering

Media

spherical faces, three-dimensional models, web application, computer-generated images

Source status

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