2 citations · 5 across the 5 of their papers we have counts for
5 papers
Non-euclidean virtual reality II: explorations of
Vi Hart, Andrea Hawksley, Elisabetta A. Matsumoto +1
We describe our initial explorations in simulating non-euclidean geometries in virtual reality. Our simulation of the product of two-dimensional hyperbolic space with one-dimension…
Non-euclidean virtual reality I: explorations of
Vi Hart, Andrea Hawksley, Elisabetta A. Matsumoto +1
We describe our initial explorations in simulating non-euclidean geometries in virtual reality. Our simulations of three-dimensional hyperbolic space are available at http://h3.hyp…
Hypernom: Mapping VR Headset Orientation to S^3
Vi Hart, Andrea Hawksley, Henry Segerman +1
Hypernom is a virtual reality game. The cells of a regular 4D polytope are radially projected to S^3, the sphere in 4D space, then stereographically projected to 3D space where the…
The Quaternion Group as a Symmetry Group
Vi Hart, Henry Segerman
We briefly review the distinction between abstract groups and symmetry groups of objects, and discuss the question of which groups have appeared as the symmetry groups of physical…
(Non)existence of Pleated Folds: How Paper Folds Between Creases
Erik D. Demaine, Martin L. Demaine, Vi Hart +2
We prove that the pleated hyperbolic paraboloid, a familiar origami model known since 1927, in fact cannot be folded with the standard crease pattern in the standard mathematical m…