Hyperbolic lines in Poincaré disk and Escher's works

Author:
Daniela Ferrarello
Topic:
Geometry, Mathematics

Circle inversion of arcs

Hyperbolic line through two points inside the disk

Hyperbolic line through a point inside the disk and a point on the boundary

Hyperbolic line through two points on the boundary

Two parallels and infinite hyperparallels

angels&demons Pole construction (construction used by Escher)

angels&demons with new hyperbolic tools

Escher's fish

Eschers' lizards

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