A mathematical approach to a billiard game

Date of Publication

1995

Document Type

Bachelor's Thesis

Degree Name

Bachelor of Science in Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics

Abstract/Summary

This thesis paper shows how mathematical concepts may be applied to a billiard game. When hit by the cue stick, the billiard ball traces a path which is studied so that patterns can be analyzed for the purpose of predicting in which pocket the billiard ball will fall. Originally, the billiard table will have four pockets at the corners and will be shot from the lower left pocket. Then extensions of the original four pocket table shall be considered and studied in order to consider the case where pockets occur not only at the corners. Mathematical concepts from Geometry and Abstract Algebra were found useful in making this study. The article by Thomas Ray Hamel and Ernest Woodward entitled Developing Mathematics On a pool table served as basic material in developing this paper.

Abstract Format

html

Language

English

Format

Print

Accession Number

TU07043

Shelf Location

Archives, The Learning Commons, 12F, Henry Sy Sr. Hall

Physical Description

62 leaves

Keywords

Billiards; Game theory--Computer programs; Mathematical recreations; Programming (Mathematics)

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