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Title:Golden Ratio Based Partitions of the Integers
Author(s):Chen, Weiru; Krandel, Jared; Li, Junxian
Contributor(s):Stolarsky, Kenneth
Subject(s):Mathematics
Partition
Beatty
Golden Ratio
Generalization
Abstract:A partition of the integers is a collection of pairwise disjoint integer subsets whose union contains every integer. The upper and lower Wythoff sequences form one such partition using the golden ratio. This construction is notable among many things for providing the winning positions in the two-heap game of Nim. This work provides a generalization of the Wythoff partition involving an arbitrary number of sets and analyzes various properties of specific cases of this generalization.
Issue Date:2018-04
Genre:Conference Poster
Type:Image
URI:http://hdl.handle.net/2142/100020
Rights Information:Copyright 2018 Weiru Chen
Copyright 2018 Jared Krandel
Copyright 2018 Junxian Li
Date Available in IDEALS:2018-05-23


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