BYU

Abstract by Josh Linnell

Personal Infomation


Presenter's Name

Josh Linnell

Degree Level

Masters

Abstract Infomation


Department

Mathematics

Faculty Advisor

Rodney Forcade

Title

Multilattice Simplex Covering Problem

Abstract

Suppose we are given a lattice L, and a set of displacements D. Now let us take a simplex and a dilation of this simplex for each displacement. We would like to know when this creates a covering, as well as how much better we can do than the base tiling for a given lattice. We will explore the problem for a few small values of n.