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. home page: http://www.usfca.edu/vca/
• 3D-XploreMath http://3D-XplorMath.org/.
• Complex Numbers & Geometry, by Liang-shin Hanhn.
• Wikipedia: Category:Complex analysis↗
• JavaView by Konrad Polthier et al. http://www.javaview.de/