臺灣博碩士論文加值系統

我們已知在平面上的連動桿有許多有趣的結果，例如：用連動桿畫出圓、橢圓、線段等…而這篇論文是有關空間中的連動桿。
我在正多面體的展開圖上設計連動桿，利用連動桿帶動展開圖拼回正多面體，亦可利用連動桿將正多面體展開。
本篇論文利用Cabri 3D動態幾何軟體來呈現上述的過程。

We know a lot of interesting results about 2D linkage.
For example, we can construct the circle, ellipse, and segment. This thesis is about the 3D linkage.
The software used in this thesis is Cabri 3D. I design the linkage on the regular polyhedron. We can unfold or form the regular polyhedron by dragging the linkage.

1. Introduction .....5
2. Cube .....5
3. Regular Tetrahedron .....28
4. Regular Octahedron .....30
5. Regular Dodecahedron .....33
6. Regular Icosahedron .....35
7. References .....37

[1]http://poncelet.math.nthu.edu.tw/disk3/cabrijava/linkages.html
[2]http://www.youtube.com/watch?v=mptAkDMnRIw&;feature=BFa&;list=PLCCBE0DCD38B03F79
[3]Robert C. Yates. Geometrical tools; 1949
[4]Sheng-Ping Sung. 2010.Design with 3D linkage.