If you appreciate the beauty of geometry, then the mathematical art of dynamic geometric dissections is definitely for you. You may explore ways to create dissections between plane figures, create hinged collections of pieces that swing together to form a figure, or you may go forward to dissect the polyhedrons.

          Under the Cabri Geometry II, an interactive dynamic software of geometry, you may experience these dissections yourselves. You can move, adjust and animate pieces from figures to figures.

          The content of this paper is put on the following website:

http://steiner.math.nthu.edu.tw/ne01/tjy/dissections/index.htm so that you may explore the magic of them under dynamic geometry.

     I want to thank my advisor Prof. Jen-Chung Chuan for his invaluable suggestions. He lectured on many courses about the dynamic geometry with Cabri Geometry II, which brought me in many ideas for this paper. I also express my special thanks to Greg N. Frederickson who encouraged me in making animated dissections. I also thank those teachers for teaching me in formal English writings. And, I will express my sincere gratitude to my friends and classmates for their advice and support.

 T. H. Yang

May 2003