Month/Year of Graduation


Degree Name

Bachelor of Science (B.S.)



First Advisor

Dr. Griff Elder


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.

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

Included in

Algebra Commons