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動態幾何下的圖形分割
Thesis

動態幾何下的圖形分割

楊澤璿
Masters, National Tsing Hua University
2002

Abstract

圖形分割動態幾何立體分割平面分割表面分割旋轉分割翻轉分割作圖 Geometric dissectionsdynamic geometryswing-hinged dissectionstwist-hinged dissectionsflip-hinged dissectionspolyhedral dissectionsdissecting surfaces of polyhedronCabri Geometry
The geometric dissection is of cutting one or more geometric figures into pieces that can be rearranged to form the other figures. The purpose of this paper is to demonstrate the dynamic process of constructing, cutting and rearranging from figures to figures. The content includes the dissection between plane figures, special types of hinged dissections, dissecting solids and dissecting the surfaces of solids. With the help of Cabri Geometry II, a tool for geometric constructions, we may experience these dissections ourselves, moving, adjusting and animating pieces to pieces under the dynamic circuses. This paper thus provides such circuses, or in other words, provides a different aspect of viewing geometric dissections.

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