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 題名: Diffy六邊形之探討A Study about Diffy Hexagons 作者: 王偉名Wang, Wei Ming 貢獻者: 李陽明Chen, Young Ming王偉名Wang, Wei Ming 關鍵詞: 循環Diffy六邊形Ducci過程Ducci序列週期相似循環CyclesDiffy hexagonsDucci processesDucci sequencesPeriodsSimilar Cycles 日期: 2013 上傳時間: 2014-07-01 12:14:20 (UTC+8) 摘要: 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. 參考文獻: [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. 描述: 碩士國立政治大學應用數學研究所100751005102 資料來源: http://thesis.lib.nccu.edu.tw/record/#G0100751005 資料類型: thesis 顯示於類別: [應用數學系] 學位論文