Geometry
MTH 329 [35469] Spring 2026
Mon-Wed, 4:40 pm - 6:20 pm, Room 1S-112
Explore
Hyperbolic Geogebra
Instructions for the presentation
Presentation in groups of one or two students. You can use grouping from last time (see below).
Presentation has to be between 15 to 20 minutes long. Presentation which are too short will loose points.
You can use slides or blackboard for presentations.
Please let me know the topic and your group on the discussion board no later than
Monday May 4th
Student presentations will be held on Wednesday May 6th and Monday May 11th.
This presentation counts for
double the previous presentations.
Topics and resources for Presentation #3 on Hyperbolic Geometry.
You are encouraged to find your own resources.
General Resources
Hitchman's book
1. Hyperboloid Model
Describe Points, Lines, angles, isometries, circle at infinity, parallel lines, relation to other models
An Elementary Introduction to Hyperbolic Geometry (UPenn)
Comparing the Poincare Disk and Klein Models (OSU)
Alternative: History and Axioms of Models
2. Klein Model
Describe Points, Lines, angles, isometries, circle at infinity, parallel lines, relation to other models
An Elementary Introduction to Hyperbolic Geometry (UPenn)
Comparing the Poincare Disk and Klein Models (OSU)
Alternative: History and Axioms of Models
3. Model Equivalence & Interactive Tools
Show that half-plane and disc model are equivalent.
Hitchman's book
Malinc.se - GeoGebra Poincare Constructions
4. Area of hyperbolic triangle
Hitchman's book
MIT - Hyperbolic Geometry
5. Regular hyperbolic Tessellations
Don Hatch's Hyperbolic Tilings
Dmitry Brant's Tessellation Guide
Joyce
Tilings-1
Jos Leys
6. Hyperbolic isometries and Mobius Transformations
From book by Marden
Notes by Amer
