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Poincare Disk in Hyperbolic Geometry by TOM DAVIS is a document available to read on EtoBox.
What is Poincare Disk in Hyperbolic Geometry about?
The document discusses the Poincare disk model of hyperbolic geometry. It defines the Poincare disk as the open unit disk and explores its automorphisms as Möbius transformations that map the disk to itself. These transformations include hyperbolic rotations about points in the disk, parallel displacements along horocycles, and hyperbolic translations along arcs of circles. The document also discusses properties of hyperbolic lines and triangles in the Poincare disk model that violate Euclidean geometry, su
- Author
- TOM DAVIS
- Language
- EN