Month/Year of Graduation
5-2023
Degree Name
Bachelor of Science (B.S.)
Department
Mathematics
First Advisor
Dr. Griff Elder
Abstract
Rubik’s cubes are well-known for having several different patterns, or permutations, that can be made from them. Meanwhile, cubes generally display a wide variety of symmetries. Naturally, these ideas can be combined to form a notion of "symmetric Rubik's cube patterns." The goal of this paper is to find an algorithm that can produce all of the permutations that display symmetries.
Recommended Citation
Anderson, Danny, "Let’s Make Patterns!: Symmetric Rubik’s Cube Permutations" (2023). Theses/Capstones/Creative Projects. 257.
https://digitalcommons.unomaha.edu/university_honors_program/257
Appendix B.pdf (2721 kB)
Calculations made with Maple Mathematics software
Appendix C.xlsx (118 kB)
Spreadsheet used to algorithmically produce more symmetric Rubik's cube permutations.
Appendix D.pdf (530 kB)
Selected list of permutations generated
Calculations made with Maple Mathematics software
Appendix C.xlsx (118 kB)
Spreadsheet used to algorithmically produce more symmetric Rubik's cube permutations.
Appendix D.pdf (530 kB)
Selected list of permutations generated