4 citations · 8 across the 5 of their papers we have counts for
5 papers
Curvature-Induced Force Fields in Hyperelasticity
Victor Dods
Originally motivated by creating first-person computer visualizations within Riemannian manifolds -- the author was led to study deformable-body mechanics, as rigid-body mechanics…
Self-similarity in the Kepler-Heisenberg problem
Victor Dods, Corey Shanbrom
The Kepler-Heisenberg problem is that of determining the motion of a planet around a sun in the Heisenberg group, thought of as a three-dimensional sub-Riemannian manifold. The sub…
Numerical Methods and Closed Orbits in the Kepler-Heisenberg Problem
Victor Dods, Corey Shanbrom
The Kepler-Heisenberg problem is that of determining the motion of a planet around a sun in the sub-Riemannian Heisenberg group. The sub-Riemannian Hamiltonian provides the kinetic…
Geodesic trajectories on regular polyhedra
Diana Davis, Victor Dods, Cynthia Traub +1
Consider all geodesics between two given points on a polyhedron. On the regular tetrahedron, we describe all the geodesics from a vertex to a point, which could be another vertex.…
Riemannian Calculus of Variations using Strongly Typed Tensor Calculus
Victor Dods
In this paper, the notion of strongly typed language will be borrowed from the field of computer programming to introduce a calculational framework for linear algebra and tensor ca…