Portals to Non-Euclidean Geometries

Year: 2022 Authors: Dorota Celińska-Kopczyńska; Eryk Kopczyński

Core claim

Valid portals must preserve intrinsic geometry and extrinsic flatness, and the authors describe constructions satisfying these constraints across several Thurston geometries.

Topics

immersive portals, Thurston geometries, VR visualization, honeycombs

Domains

non-Euclidean geometry, hyperbolic geometry, geometry of surfaces, geometric visualization, virtual reality, interactive media, mathematical visualization, architecture-inspired portals

Methods

geometric constraints analysis, honeycomb construction, raytracing, portal rendering

Media

VR scene, cubic honeycomb, dodecahedral honeycomb, binary tiling

Source status

This page publishes metadata and extracted analytical signals only. Raw PDF and full OCR text are kept local for now.