Title
Geometric Properties and a Combinatorial Analysis of Convex Polygons Constructed of Tridrafters
Abstract
The aim of this thesis is to show how the use of parity in tandem with the triangular grid as well as a newly introduced and similar method are insufficient to provide proof for why convex regions composed using the full set of shapes known as "proper tridrafters" have a portion shifted in a fashion known as against-the-grain. These two methods are applied in a combinatorial fashion.
Library of Congress Subject Headings
Convex geometry; Combinatorial analysis; Polygons
Publication Date
5-10-2018
Document Type
Thesis
Student Type
Graduate
Degree Name
Applied and Computational Mathematics (MS)
Department, Program, or Center
School of Mathematical Sciences (COS)
Advisor
Matthew Coppenbarger
Advisor/Committee Member
Darren Narayan
Advisor/Committee Member
Hossein Shahmohamed
Recommended Citation
Nelson, Trevor, "Geometric Properties and a Combinatorial Analysis of Convex Polygons Constructed of Tridrafters" (2018). Thesis. Rochester Institute of Technology. Accessed from
https://scholarworks.rit.edu/theses/9776
Campus
RIT – Main Campus
Plan Codes
ACMTH-MS
