Lecture 12

Hyperbolic Geometry 1

1. The sphere in the above picture does NOT represent a model of the hyperbolic plane. It is here to illustrate two aspects of the Poincare model of the hyperbolic plane: the lines are not "straight" and the distances are not the "usual" or Euclidean distances. Details to be explained in class.

2. Escher again: the picture is from his early period, and it is called "Hand with reflecting globe" (1935)

© Sasho Kalajdzievski