Feasible permutations of Kepler's spheres
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 thesi...
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oai:animorepository.dlsu.edu.ph:etd_bachelors-169632022-02-12T01:07:31Z Feasible permutations of Kepler's spheres Ong, Artemis P. Panagsagan, Sandra S. 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. 1997-01-01T08:00:00Z text https://animorepository.dlsu.edu.ph/etd_bachelors/16450 Bachelor's Theses English Animo Repository Permutations Sphere Group theory Mathematics--Problems, exercises, etc. |
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De La Salle University |
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De La Salle University Library |
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Asia |
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Philippines Philippines |
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De La Salle University Library |
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DLSU Institutional Repository |
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English |
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Permutations Sphere Group theory Mathematics--Problems, exercises, etc. |
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Permutations Sphere Group theory Mathematics--Problems, exercises, etc. Ong, Artemis P. Panagsagan, Sandra S. Feasible permutations of Kepler's spheres |
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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. |
| format |
text |
| author |
Ong, Artemis P. Panagsagan, Sandra S. |
| author_facet |
Ong, Artemis P. Panagsagan, Sandra S. |
| author_sort |
Ong, Artemis P. |
| title |
Feasible permutations of Kepler's spheres |
| title_short |
Feasible permutations of Kepler's spheres |
| title_full |
Feasible permutations of Kepler's spheres |
| title_fullStr |
Feasible permutations of Kepler's spheres |
| title_full_unstemmed |
Feasible permutations of Kepler's spheres |
| title_sort |
feasible permutations of kepler's spheres |
| publisher |
Animo Repository |
| publishDate |
1997 |
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https://animorepository.dlsu.edu.ph/etd_bachelors/16450 |
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