Steve Trettel · with Henry Segerman, Rémi Coulon, Sabetta Matsumoto

Code: Hyp Balloons · 2020

Colored balloons in hyperbolic 3-space, distorted by the negative curvature

Raymarching in hyperbolic 3-space using the hyperboloid model. Colored balloon-shaped spheres are placed in H3, with distances computed using the Minkowski inner product (hypDot with signature -+++). Geodesics follow hyperbolas on the hyperboloid, causing apparent distortion compared to Euclidean space. Controls: WASD to rotate, arrow keys to translate.

Steve Trettel · with Henry Segerman, Rémi Coulon, Sabetta Matsumoto

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