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Move-Count Means with Cancellation and Word Selection Problems in Rubik's Cube Solution Approaches

Milker, Joseph Alan
http://rave.ohiolink.edu/etdc/view?acc_num=kent1343073076

Abstract Details

2012, PHD, Kent State University, College of Arts and Sciences / Department of Mathematical Sciences.
In this dissertation we solve two fundamental, and until now only partially treated, problems associated with multi-step solution approaches for the Rubik's Cube: the average effect of partial commutativity and cancellation of moves at the step interfaces, and the minimization with respect to certain group-theoretic constraints the number of required move sequences comprising the step look-up tables. The results may be adapted to other permutation groups to some extent, although portions of this work depend explicitly on the interplay between the geometry of the hexahedron and the structure of the Rubik's Cube group.
Morley Davidson, PhD (Committee Chair)
Gang Yu, PhD (Committee Member)
Stephen Gagola Jr., PhD (Committee Member)
Anne Reynolds, PhD (Committee Member)
Paul Farrell, PhD (Committee Member)
87 p.
Mathematics
Rubik's Cube; combinatorial group theory

Recommended Citations

Citations

  • Milker, J. A. (2012). Move-Count Means with Cancellation and Word Selection Problems in Rubik's Cube Solution Approaches [Doctoral dissertation, Kent State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=kent1343073076

    APA Style (7th edition)

  • Milker, Joseph. Move-Count Means with Cancellation and Word Selection Problems in Rubik's Cube Solution Approaches. 2012. Kent State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=kent1343073076.

    MLA Style (8th edition)

  • Milker, Joseph. "Move-Count Means with Cancellation and Word Selection Problems in Rubik's Cube Solution Approaches." Doctoral dissertation, Kent State University, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=kent1343073076

    Chicago Manual of Style (17th edition)

kent1343073076
3,082
© 2012, some rights reserved.Creative Commons License Move-Count Means with Cancellation and Word Selection Problems in Rubik's Cube Solution Approaches by Joseph Alan Milker is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License. Based on a work at etd.ohiolink.edu.
This open access ETD is published by Kent State University and OhioLINK.