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 these geometric dissections discovered by great mathematicians, examine their correctness and display their animations from figures to figures.

          The dissections explored here are masterpieces that have been discovered by many people. However, most of them are displayed as plane figures. It¡¦s thus difficult for beginners to feel how charming an unmoved dissection has. This paper attempts to provide the readers with a different aspect of viewing the magic and beauty of the geometric dissections.

  In the beginning of this paper, some geometric figures that will appear in later constructions are introduced. Dissecting techniques that have been widely used in every construction of figures are then discussed in the second part of this thesis. The main topics of this paper are illustrated by regular polygons, star polygons, dissected curves and other figures. Following this are special types of hinged dissections such as swing-hinged dissections, flip-hinged dissections and twist-hinged dissections. Finally, I will demonstrate how the dissection goes forward to three dimensions such as dissecting a solid figure or dissecting the surface of a solid. The figures identified here should help the reader better explore the beauty of geometric dissections.