Virtual Crocheting of Euclidean Planes in a 3-Sphere

Year: 2018 Authors: Eryk Kopczyński; Dorota Celińska

Core claim

A Euclidean plane can be visually modeled in S^3 by adapting crocheting-style embedding methods and spherical perspective rendering.

Topics

non-Euclidean geometry, spherical perspective, virtual reality, crochet simulation

Domains

Euclidean geometry, spherical geometry, three-dimensional geometry, embedding algorithms, computer visualization, virtual reality, textile-inspired modeling, interactive media

Methods

computer simulation, recursive subdivision, force-based optimization, VR rendering

Media

browser simulation, VR video, Android app, HyperRogue tesselations

Source status

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