stevejtrettel.site
Papers
Algebraic Number Starscapes
We study the relationship between hyperbolic geometry and the quadratic formula
Vector-Valued Distance and Gyrocalculus on the Space of Positive Definite Symmetric Matrices
Symmetric Spaces for Graph Embeddings: A Finsler-Riemannian Approach
We use curved spaces to more efficiently embed graphs that occur in machine learning problems.
Ray-marching Thurston Geometries
Technical paper on writing interactive computer graphics in curved space.
Non-Euclidean VR III: Nil
An illustrated account of Nil geometry.
Non-Euclidean VR IV: Sol
An illustrated account of Sol geometry.
The Heisenberg Plane
A classification of geometric structures on surfaces for Heisenberg geometry.