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Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/67154

Title:	Diffy六邊形之探討 A Study about Diffy Hexagons
Authors:	王偉名 Wang, Wei Ming
Contributors:	李陽明 Chen, Young Ming 王偉名 Wang, Wei Ming
Keywords:	循環 Diffy六邊形 Ducci過程 Ducci序列週期相似循環 Cycles Diffy hexagons Ducci processes Ducci sequences Periods Similar Cycles
Date:	2013
Issue Date:	2014-07-01 12:14:20 (UTC+8)
Abstract:	在這篇論文裡，我們研究Diffy六邊形。本文一開始將Diffy六邊形視為Ducci序列，然後我們討論關於Ducci序列的一些性質。然而，Diffy六邊形事實上是可以旋轉與翻轉的，但是，我們所考慮的Ducci序列並不具備這樣的性質。所以，在本文的最後，我們討論在考慮旋轉與翻轉情況下的Ducci序列。 In this thesis, we study the Diffy Hexagons: Initially, we regard a Ducci sequence as a Diffy Hexagon game and discuss some properties about Ducci sequences. However, a Ducci sequence isn`t actually a Diffy Hexagon game due to the fact that regular hexagons has some symmetries under rotations and reflections, but the Ducci sequences don`t. So, we apply an identification in the end.
Reference:	[1] M. Burmester, R. Forcade, and E. Jacobs. Circles of numbers. Glasgow Mathematical Journal, 19:115–119, July 1978. [2] Amos Ehrlich. Periods in ducci’s n-number game of differences. Fibonacci Quarterly, 28(4):302–305, November 1990. [3] 蔡秀芬. Diffy box. 2008.
Description:	碩士國立政治大學應用數學研究所 100751005 102
Source URI:	http://thesis.lib.nccu.edu.tw/record/#G0100751005
Data Type:	thesis
Appears in Collections:	[應用數學系] 學位論文

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