The regression depth of a hyperplane with respect to a set of n points in Rd is the minimum number of points the hyperplane must pass through in a rotation to vertical. We general...
The algorithms for computing a shortest path on a polyhedral surface are slow, complicated, and numerically unstable. We have developed and implemented a robust and efficient algo...
Pankaj K. Agarwal, Sariel Har-Peled, Meetesh Karia
We prove that all single-vertex origami shapes are reachable from the open flat state via simple, non-crossing motions. We also consider conical paper, where the total sum of the ...
An algorithm was presented in [1] for unfolding orthostacks into one piece without overlap by using arbitrary cuts along the surface. It was conjectured that orthostacks could be ...
In this paper we discuss farthest-point problems in which a set or sequence S of n points in the plane is given in advance and can be preprocessed to answer various queries efficie...
Abstract. Musical rhythm is considered from the point of view of geometry. The interaction between the two fields yields new insights into rhythm and music theory, as well as new ...