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Warped Reality: Virtual Trip to Hyperbolic Space


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Henry Segerman, mathematician in Oklahoma State Universitys Department of Mathematics.

Researchers at the Georgia Institute of Technology and Oklahoma State University have created a virtual reality program for exploring hyperbolic geometries.

Credit: Henry Segerman

Researchers at the Georgia Institute of Technology (Georgia Tech) and Oklahoma State University (OSU) have created a virtual reality (VR) program for exploring hyperbolic geometries.

"Visualizations can help to prove theorems that are purely abstract, and physicists want to get an intuition for what's going on," says Georgia Tech's Sabetta Matsumoto. "The virtual reality takes something that would normally live in a set of equations, and makes something you can interact with."

Sabetta's VR program, developed in collaboration with OSU's Henry Segerman, detects head movements in three-dimensional (3D) Euclidean space and warps them into virtual motions in 3D hyperbolic space, providing the VR headset wearer with a Euclidean output. The virtual environment employs animated 3D tessellation, or repeated tiling, to communicate hyperbolic space.

Matsumoto wants the final version of the project to be a walk-through museum installation, "like a house where everything is hyperbolic."

From Georgia Tech Research Horizons
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Abstracts Copyright © 2017 Information Inc., Bethesda, Maryland, USA


 

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