The purpose of this paper is to demonstrate the dynamic geometric dissections. With the help of Cabri Geometry II , a tool for geometric constructions, we can explore those dissections ever discovered, examine its correctness and display its animation from figures to figures.

        Those dissections mentioned here are the masterpieces that created by many people. But most of the dissections were created as a plane figure. It¡¦s hard for a beginner to feel how charming an unmoved dissection has brought. Instead, they can feel themselves the magic and beauty of it under the dynamic geometric circuses. This paper provides such circuses, or in other words, provides a different aspect of viewing geometric dissections.

  In the beginning of this paper, I will introduce some geometric figures that will appear in later constructions. Then the technique of dissections which would been widely used in every construction is discussed. The main topics of this paper are sorted by regular polygons, star polygons, dissected curves and other figures. Following this discussion are some special types of dissection such as swing-hinged dissections, flip-hinged dissections and twist-hinged dissections. And finally, I will demonstrate how the construction goes up to three dimensions by dissecting a solid figure or dissecting the surface of a solid.

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