Masters Theses

Keywords and Phrases

Permutation puzzles; Sage; Open source; Spot It!

Abstract

"In this thesis, we consider the usefulness of Sage, an online and open-source program, in analyzing permutation puzzles such as the Rubik's cube and a specific combinatorial structure called the projective plane. Many programs exist to expedite calculations in research and provide previously-unavailable solutions; some require purchase, while others, such as Sage, are available for free online. Sage is asked to handle a small permutation puzzle called Swap, and then we explore how it calculates solutions for a Rubik's cube. We then discuss projective planes, Sage's library of functions for dealing with projective planes, and how they relate to the card game Spot It! Since Sage is a free, open-source program, its limitations are a valid concern and are also discussed."--Abstract, page iii.

Advisor(s)

Morgan, Ilene H.

Committee Member(s)

Grow, David E.
Cohen, Gerald Leonard, 1941-

Department(s)

Mathematics and Statistics

Degree Name

M.S. in Applied Mathematics

Publisher

Missouri University of Science and Technology

Publication Date

Spring 2015

Pagination

vii, 57 pages

Note about bibliography

Includes bibliographic references (page 56).

Rights

© 2015 Jessica Ruth Chowning, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Library of Congress Subject Headings

Projective planes
Combinatorial analysis
Rubik's Cube

Thesis Number

T 10667

Electronic OCLC #

913484492

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