` Vladimir Bulatov - Hyperbolic Cross Sections

Hyperbolic Cross Sections

by Vladimir Bulatov

Interactive WebGL applications

Interactive horosphere cross section. Link opens in new tab.

Videos

Transformation from plane to lens to horosphere and back

Horosphere appoarching the horizon

Tiling is rotated about axis tangent to horosphere

Rotation of tiling relative to horosphere with simultaneous rotation of the axis.

Tiling moving relative to horosphere.

Horosphere cross section of tiling by Coxeter tetrahedra with icosahedral vertex.

Horosphere cross section of tiling by tetrahedra with ideal vertex.

Slicing hyperbolic tiling by hyperbolic plane

Slicing euclidean 3D tiling by a plane

Slicing euclidean 3D tiling by a plane