Multilattice Tilings and Coverings

Let L be a discrete subgroup of \mathbb{R}^n under addition. Let D be a finite set of points including the origin. These two sets will define a multilattice of \mathbb{R}^n. We explore how to generate a periodic covering of the space \mathbb{R}^n based on L and $D$. Additionally, we explore the prob...

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Bibliographic Details
Main Author: Linnell, Joshua Randall
Format: Others
Published: BYU ScholarsArchive 2021
Subjects:
Online Access:https://scholarsarchive.byu.edu/etd/8911
https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=9920&context=etd