Geometric Transformation on the Plane

Xah Lee, 2006-05-30

Note: This page is work in progress. Consider it low quality like a blog. When this page is sufficiently good quality, this paragraph will be removed.

• Isometries: Translation, Rotation, Reflection
• Linear Transformation
• Affine Transformation
• Geometric Inversion
• Sphere Projection
• Mobius Transformation

Mathematica packages

Square

Inversion

Mobius Transformation

• Stereographically Projected Beauties

Acknewlodgement

This project is work in progress. I like to thank Richard Palais and Hermann Karcher for teaching me mathematics.

References

• Visual Complex Analysis, by Tristan Needham. amazon. Home page: Source www.usfca.edu
• 3D-XploreMath http://3D-XplorMath.org/.
• Complex Numbers ＆ Geometry, by Liang-shin Hanhn. amazon
• Wikipedia: Category:Complex analysis
• JavaView by Konrad Polthier et al. Source www.javaview.de