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    政大機構典藏 > 理學院 > 應用數學系 > 學位論文 >  Item 140.119/67154
    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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