卡塔蘭多面體是十三個有趣的幾何模型，在1862年由比利時數學家尤金．卡塔蘭首先發現，它是阿基米得多面體的對偶多面體。在本文中總共分為五個部份來討論；第一部份中，我介紹了十三個阿基米得多面體的幾何性質；第二、三兩個部份中，我介紹了十三個卡塔蘭多面體的幾何性質以及詳細的做圖方法；在第四部份，我透過多面體結合的方式，介紹了卡塔蘭多面體與阿基米得多面體之間的對偶關係；最後一部分是卡塔蘭多面體的性質總結。
本論文透過3D動態幾何軟體Cabri 3D呈現出卡塔蘭多面體的幾何架構，總共分為五個章節。在以下網站中你可以很清楚地看到詳盡的介紹:
http://140.114.32.33/d1/dg-07-exe/943265/Catalan-website/index.htm
透過這個網站，每個人都可以很容易地看到我的研究成果以及動態幾何軟體的應用與發展。

An interesting geometrical convex solids are 13 Catalan solids. The Catalan solids are the dual polyhedron of the Archimedean solids and named for the Belgian mathematician, Eugène Catalan who first described them in 1862. There are five section in this study. In the first section, I listed 13 Archimedean solids. The second and third section described about the 13 Catalan solids and the detailed construction process of them. The four section I listed dual pair of Archimedean solid, Catalan solid and its interpenetrating solids. The final section are the summary of 13 Catalan solids.
This paper presents the design of Catalan solids under Cabri 3D Geometry, interactive dynamic software of geometry. It is divided into five sections. You can see the detail clearly in the website：
http://140.114.32.33/d1/dg-07-exe/943265/Catalan-website/index.htm
Here anyone can see my study easily and the application of 3D dynamic geometry.

[1] http://www.math.nthu.edu.tw/~jcchuan/
[2] http://mathworld.wolfram.com/CatalanSolid.html
[3] http://mathworld.wolfram.com/ArchimedeanSolid.html
[4] http://en.wikipedia.org/wiki/Catalan_solid
[5] http://en.wikipedia.org/wiki/Archimedean_solid
[6] httpp://home.btconnect.com/shapemakingclub/archimedeanduals.html
[7] http://web.aanet.com.au/robertw/Archimedean.html
[8] http://www.georgehart.com/virtual-polyhedra/archimedean-duals-info.html
[9] Wenninger, M. J. "Dual Models ", 1983, Cambridge University Press.
[10] Williams, Robert, "The Geometrical Foundation of Natural Structure: A Source Book of Design ", 1979, Dover Publications.