Interactive Design and Visualization of Arbitrary Two-dimensional Non-Euclidean Kaleidoscopic Orbifolds
Jinta Zheng
Published in Dissertation, Oregon State University, 2024
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A brief summary
An enumeration of two-dimensional kaleidoscopic orbifolds.
An algorithm to generate arbitrary two-dimensional kaleidoscopic orbifolds.
An algorithm to construct the universal cover.
An algorithm to embed a 3D object from Euclidean space into non-Euclidean spaces.
A system for interactive orbifold design and visualization.
An adapted rendering that takes into account the geodesics in non-Euclidean spaces.
A mirror-based metaphor for orbifold visualization.
Hierarchical structures that complement the geometric characteristics of the non-Euclidean spaces.