Billiards periodicity in polygons
Dissertant
Thesis advisor
Comitee Members
Musa, Abd al-Rahim
Yusuf, Hasan
University
Birzeit University
Faculty
Faculty of Science
Department
Department of Mathematics
University Country
Palestine (West Bank)
Degree
Master
Degree Date
2017
English Abstract
In this research we survey the periodicity of billiards in some class of polygons ( the polygons which tiles the plane with reection), then we study the periodicity of billiards in triangles.
It has been shown that by elementary geometric ways that an acute, right and isosceles triangles always have a periodic billiard path.
Schwartz write a computer assisted proof that a triangle has a periodic billiard path when all its angles are at most one hundred degree.
But the conjecture that does the triangles which have an angle greater than 100 degree is still open
Main Subjects
Topics
No. of Pages
89
Table of Contents
Table of contents.
Abstract.
Chapter One : Basics and preliminaries.
Chapter Two : Billiards in polygons.
Chapter Three : Billiards on obtuse triangle.
References.
American Psychological Association (APA)
Shahwan, Ruba. (2017). Billiards periodicity in polygons. (Master's theses Theses and Dissertations Master). Birzeit University, Palestine (West Bank)
https://search.emarefa.net/detail/BIM-762573
Modern Language Association (MLA)
Shahwan, Ruba. Billiards periodicity in polygons. (Master's theses Theses and Dissertations Master). Birzeit University. (2017).
https://search.emarefa.net/detail/BIM-762573
American Medical Association (AMA)
Shahwan, Ruba. (2017). Billiards periodicity in polygons. (Master's theses Theses and Dissertations Master). Birzeit University, Palestine (West Bank)
https://search.emarefa.net/detail/BIM-762573
Language
English
Data Type
Arab Theses
Record ID
BIM-762573
