Please use this identifier to cite or link to this item: https://ah.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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