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https://ah.lib.nccu.edu.tw/handle/140.119/67154
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 Cycles Diffy hexagons Ducci processes Ducci sequences Periods Similar Cycles |
日期: | 2013 | 上傳時間: | 1-Jul-2014 | 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.\n[2] Amos Ehrlich. Periods in ducci’s n-number game of differences. Fibonacci Quarterly, 28(4):302–305, November 1990.\n[3] 蔡秀芬. Diffy box. 2008. | 描述: | 碩士 國立政治大學 應用數學研究所 100751005 102 |
資料來源: | http://thesis.lib.nccu.edu.tw/record/#G0100751005 | 資料類型: | thesis |
Appears in Collections: | 學位論文 |
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100501.pdf | 439.02 kB | Adobe PDF2 | View/Open |
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