Results
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I have shown the dynamic model of some dissections in the plane
such as regular polygons, star polygons Greek Cross and some other
curved figures like disk and ovals. These illustrations are just a
corner of an iceberg; there are too many plane figures waiting for us to
explore. Figures such as Maltese Cross, swastika, golden rectangle, the
dissecting of the family of regular polygons or star polygons to one
figure, or even the three-figure dissections are all interesting
examples. When constructing the dynamic dissection of one figure into
another, I did not demonstrate the best way to form the target figure,
in other words, the pieces may cover the other pieces during the
animation, or the pieces may move out of the screen. You may modify it
as you wish or find the better techniques during the animations.
In three-dimensional dissections, I have shown a model of
performing three dimensional animations. But as a mater of fact, it
wasnˇ¦t a great soft ware to demonstrate since its file was too big
that we canˇ¦t fluently display the animation, and all line segments
were shown obeying real vision of human eyes. It should have existed ore
convenient and more suitable 3D soft wares to model such animations. My
effort, however, was to demonstrate that the dynamic of the three
dimensional dissections can be illustrated by Cabri Geometry
II
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a simple geometric construction tool. ˇ@ |