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卡塔蘭多面體的綜合作圖
Thesis

卡塔蘭多面體的綜合作圖

謝智潁
Masters, National Tsing Hua University
2006

Abstract

卡塔蘭多面體阿基米得多面體對偶多面體
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, Eugene 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.htmHere anyone can see my study easily and the application of 3D dynamic geometry.

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