Title

On the knight's tour on the fifteen puzzle

Date of Publication

1997

Document Type

Bachelor's Thesis

Degree Name

Bachelor of Science in Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics Department

Abstract/Summary

This thesis presents the application of the knight's tour on the 15-puzzle. A 15-puzzle is made up of a 4-by-4 array wherein only 15 cells have numbers and the 16th cell is left as a blank. The numbers in the puzzle can be arranged by sliding it and a knight's tour on the puzzle is one wherein the numbers traces a knight's legal chess move. This paper also contains principles, that will aid in determining if a certain configuration in the 15-puzzle is legal or not, and propositions that are used in counting the knight's tour. All of the propositions, theorems and definitions in this research are lifted from the article The Knight's Tour on the Fifteen Puzzle by Spencer P. Hurd and David A. Trautman. The researchers provided basic definitions in group theory.

Abstract Format

html

Language

English

Format

Print

Accession Number

TU08308

Shelf Location

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

Physical Description

59 leaves

Keywords

Knight (Chess); Fifteen puzzle; Games; Mathematical recreations

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