Recent Progress in Dynamic Geometry
Talk Given at 2006 Mathematical Meeting and Annual Meeting of the Mathematical Society
Jen-chung Chuan
National Tsing Hua University
Please visit our website: http://sylvester.math.nthu.edu.tw/d2/talk-12-9-06-ntnu/ to appreciate the interactive display of this report.
Plane Geometry: An animation displaying how the five curves (the cardioid, the nephroid, the deltoid, the asteroid and the 4-cusped epicycloid) each moving in rigid motion while all remaining in contact with each other:
Solid Geometry: Animation of virtual models constructed with Cabri 3D
1) Region enclosed by two parabolic cylinders:
2) Five octahedral about an icosidodecahedron:
3) The Buckyball:
4) Hyperbolic Paraboloid:
5) Small Rhombicosidodecahedron:
6) Truncated Icosidodecahedron:
6) Coaxal Circles on the Sphere:
7) Solid with Elliptic Crossections:
8) Torus Generated by Villarceau Circles
9) Three-Circle Theorem on the Sphere
