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Title: On the Generalized Tower of Hanoi Problem I: An Introduction to Cluster Spaces
Authors: Rukhin, Andrey
Advisors: Gasarch, William
Department/Program: Applied Mathematics and Scientific Computation
Type: Thesis
Subjects: Mathematics
Keywords: Tower of Hanoi
Cluster Spaces
Issue Date: 4-May-2004
Abstract: In this thesis, we examine the Tower of Hanoi puzzle with p posts (p >= 3) and n disks (n in N). We examine the puzzle in the context of a cluster space: a hierarchical partitioning of the space of all possible disk configurations. This thesis includes two theorems that address the topic of minimal paths connecting disk configurations.
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Mathematics Theses and Dissertations

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