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
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
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
Recommended Citation
Marcelino, B. C., & Zarasate, C. P. (1997). On the knight's tour on the fifteen puzzle. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/16448
