Hypernom: Mapping VR Headset Orientation to $S^3$

Year: 2015 Authors: Vi Hart; Andrea Hawksley; Henry Segerman; Marc ten Bosch

Core claim

Using headset orientation as position in $S^3$ creates an intuitive VR navigation and game mechanic for exploring regular 4D polytopes.

Topics

virtual reality game, 4D polytopes, [[topics/s-3-navigation|$S^3$ navigation]], unit quaternions, stereographic projection

Domains

topology, group theory, quaternions, 4D geometry, [[domains/3|${\Sigma }^3$]], game design, interactive media, digital visualization

Methods

radial projection, stereographic projection, quaternion multiplication, Hopf fibration coloring, head-tracking

Media

VR headset, gamepad, 3D graphics, screenshots

Source status

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