This course will introduce basics concepts in discrete differential geometry. The course will loosely follow the course in: http://geometry.cs.cmu.edu/ddgshortcourse/
Discrete differential geometry (DDG) is a new emerging field at the intersection of applied math and computer science. The goal of DDG is to develop and study discrete geometric structures, e.g., polyhedrons from a "mimetic" point of view. That is, rather than focusing on local approximation errors to the differentiable structures, defining their discrete analogs directly on the discrete structures. This point of view led to construction of robust and useful algorithms to handle 3D geometry in a computer.