Diffy六邊形之探討

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.