Results
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This paper has given the dynamic demonstration of 70 plane dissections and 8 three-dimensional dissections. These plane dissections include dissecting regular polygons, star polygons, Greek Cross and other curved figures such as disk and ovals. Special types of plane dissections include the swing-hinged dissections, the flip-hinged dissections and the twist-hinged dissections. These illustrations are just tips of an iceberg. There are still many plane figures waiting for us to explore, such as the Maltese Cross, the swastika, the golden rectangle, the dissection of family of regular polygons to one, and even the three-figure dissections. The three-dimensional dissections referred here include the dissections between solids and the dissections between the surfaces of polyhedrons. This paper provides a model for performing three-dimensional animations with Cabri Geometry II . However, this model is not a suitable circumstance for 3D animations. It should have some professional 3D soft ware to deal with such problems. My effort, however, was to demonstrate that the dynamic of the three-dimensional dissections can be illustrated by Cabri Geometry II , a simple geometric construction tool. |