Table of Contents
Desmos Illustrations
By Keir Lockridge
Click the link in the lower right corner of each image to view it in Desmos, where you can read an explanation and perhaps see an animation.
GLTs and GCLTs
Circle Inversion
Type I and Type II Clines
Improved from the original by Peter Francis '21.
Mobius Transformations with Two Fixed points
Apollonian Circles
Möbius Transformations with One Fixed Point
This is the parabolic case.
Congruence in Möbius Geometry
Hyperbolic Rotations
Hyperbolic Translations
Parallel Displacement
A Hyperbolic Circle of Fixed Hyperbolic Radius
Lines and Circles in Elliptic Geometry
Hyperbolic n-gons
Elliptic n-gons