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Please use this identifier to cite or link to this item: https://ah.lib.nccu.edu.tw/handle/140.119/67154
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dc.contributor.advisor李陽明zh_TW
dc.contributor.advisorChen, Young Mingen_US
dc.contributor.author王偉名zh_TW
dc.contributor.authorWang, Wei Mingen_US
dc.creator王偉名zh_TW
dc.creatorWang, Wei Mingen_US
dc.date2013en_US
dc.date.accessioned2014-07-01T04:14:20Z-
dc.date.available2014-07-01T04:14:20Z-
dc.date.issued2014-07-01T04:14:20Z-
dc.identifierG0100751005en_US
dc.identifier.urihttp://nccur.lib.nccu.edu.tw/handle/140.119/67154-
dc.description碩士zh_TW
dc.description國立政治大學zh_TW
dc.description應用數學研究所zh_TW
dc.description100751005zh_TW
dc.description102zh_TW
dc.description.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。zh_TW
dc.description.abstractIn 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\n中文摘要..................................ii\nAbstract................................iii\nContents.................................1v\n1 Introduction............................1\n2 Ducci Sequences.........................3\n3 Similar Cycles.........................14\n4 Diffy Hexagons.........................31\nBibliography.............................42zh_TW
dc.format.extent449555 bytes-
dc.format.mimetypeapplication/pdf-
dc.language.isoen_US-
dc.source.urihttp://thesis.lib.nccu.edu.tw/record/#G0100751005en_US
dc.subject循環zh_TW
dc.subjectDiffy六邊形zh_TW
dc.subjectDucci過程zh_TW
dc.subjectDucci序列zh_TW
dc.subject週期zh_TW
dc.subject相似循環zh_TW
dc.subjectCyclesen_US
dc.subjectDiffy hexagonsen_US
dc.subjectDucci processesen_US
dc.subjectDucci sequencesen_US
dc.subjectPeriodsen_US
dc.subjectSimilar Cyclesen_US
dc.titleDiffy六邊形之探討zh_TW
dc.titleA Study about Diffy Hexagonsen_US
dc.typethesisen
dc.relation.reference[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.zh_TW
item.languageiso639-1en_US-
item.cerifentitytypePublications-
item.openairecristypehttp://purl.org/coar/resource_type/c_46ec-
item.grantfulltextopen-
item.openairetypethesis-
item.fulltextWith Fulltext-
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