| dc.contributor.advisor | 李陽明 | zh_TW |
| dc.contributor.advisor | Chen, Young Ming | en_US |
| dc.contributor.author (Authors) | 王偉名 | zh_TW |
| dc.contributor.author (Authors) | Wang, Wei Ming | en_US |
| dc.creator (作者) | 王偉名 | zh_TW |
| dc.creator (作者) | Wang, Wei Ming | en_US |
| dc.date (日期) | 2013 | en_US |
| dc.date.accessioned | 1-Jul-2014 12:14:20 (UTC+8) | - |
| dc.date.available | 1-Jul-2014 12:14:20 (UTC+8) | - |
| dc.date.issued (上傳時間) | 1-Jul-2014 12:14:20 (UTC+8) | - |
| dc.identifier (Other Identifiers) | G0100751005 | en_US |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/67154 | - |
| dc.description (描述) | 碩士 | zh_TW |
| dc.description (描述) | 國立政治大學 | zh_TW |
| dc.description (描述) | 應用數學研究所 | zh_TW |
| dc.description (描述) | 100751005 | zh_TW |
| dc.description (描述) | 102 | zh_TW |
| dc.description.abstract (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。 | zh_TW |
| dc.description.abstract (摘要) | 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. | en_US |
| dc.description.tableofcontents | 致謝......................................i中文摘要..................................iiAbstract................................iiiContents.................................1v1 Introduction............................12 Ducci Sequences.........................33 Similar Cycles.........................144 Diffy Hexagons.........................31Bibliography.............................42 | zh_TW |
| dc.format.extent | 449555 bytes | - |
| dc.format.mimetype | application/pdf | - |
| dc.language.iso | en_US | - |
| dc.source.uri (資料來源) | http://thesis.lib.nccu.edu.tw/record/#G0100751005 | en_US |
| dc.subject (關鍵詞) | 循環 | zh_TW |
| dc.subject (關鍵詞) | Diffy六邊形 | zh_TW |
| dc.subject (關鍵詞) | Ducci過程 | zh_TW |
| dc.subject (關鍵詞) | Ducci序列 | zh_TW |
| dc.subject (關鍵詞) | 週期 | zh_TW |
| dc.subject (關鍵詞) | 相似循環 | zh_TW |
| dc.subject (關鍵詞) | Cycles | en_US |
| dc.subject (關鍵詞) | Diffy hexagons | en_US |
| dc.subject (關鍵詞) | Ducci processes | en_US |
| dc.subject (關鍵詞) | Ducci sequences | en_US |
| dc.subject (關鍵詞) | Periods | en_US |
| dc.subject (關鍵詞) | Similar Cycles | en_US |
| dc.title (題名) | Diffy六邊形之探討 | zh_TW |
| dc.title (題名) | A Study about Diffy Hexagons | en_US |
| dc.type (資料類型) | thesis | en |
| dc.relation.reference (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. | zh_TW |
