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菱形十二面體的星狀多面體
Thesis

菱形十二面體的星狀多面體

林精良
Masters, National Tsing Hua University
2006

Abstract

菱形十二面體星狀多面體 Rhombic dodecahedronStellation
Abstract There are three stellations of rhombic dodecahedron. The first stellation of rhombic dodecahedron is Escher's solid.The second stellation of rhombic dodecahedron is constructed by Escher's solid. The third stellation of rhombic dodecahedron is constructed by the second stellation of rhombic dodecahedron. The convex of Escher's solid is cuboctahedron. The convex of the third stellation of rhombic dodecahedron is truncated octahedron. The relations of the stellations of rhombic dodecahedron are arranged in sixth section. The paper presents the constitution of the stellations of rhombic dodecahedron under Cabri 3D Geometry, interactive dynamic software of geometry. It is divided into seven sections. Anyone could browse clearly to discover the detail in the wedsite:http://oz.nthu.edu.tw/~g943214/Geometry/Geometry.htmHere anyone could see the relations of the stellations of rhombic dodecahedron and the application of 3D dynamic geometry.June 2007

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