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Physical Sciences and Mathematics Commons

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Butler University

Theses/Dissertations

2017

Puzzle

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Full-Text Articles in Physical Sciences and Mathematics

Complexities Of Bi-Colored Rubik's Cubes, Taylor Pieper Jan 2017

Complexities Of Bi-Colored Rubik's Cubes, Taylor Pieper

Undergraduate Honors Thesis Collection

Which of two bi-colored cubes is the simpler puzzle? The differences in the coloring of the cubes creates different symmetries that dramatically reduce the number of states each cube can reach. Which of the symmetries is most reductive? The answer to these questions can be achieved by discovering and comparing the “God’s Number” for these cubes.