Feasible permutations of Kepler's spheres
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
Kepler's spheres are twelve spheres which are tangential to a central sphere. The main concern of this study is to consider a related question of Erno Rubik: if we label the twelve spheres and roll them over the surface of the inner sphere at will, what permutations are achievable? . This thesis shows how the concepts in group theory and geometry may be applied to determine the feasible permutations of Kepler's spheres. The article by James G. Propp entitled Kepler's Spheres and Rubik's Cube served as a basic material in developing this paper.
Abstract Format
html
Language
English
Format
Accession Number
TU08310
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Physical Description
58 leaves
Keywords
Permutations; Sphere; Group theory; Mathematics--Problems, exercises, etc.
Recommended Citation
Ong, A. P., & Panagsagan, S. S. (1997). Feasible permutations of Kepler's spheres. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/16450
