Outline
Tessellations: Techniques and Teaching
Middlebury Math Teachers' Circle -- March 2020
Table of Contents
Euclidean Tessellations
Hyperbolic Tessellations
- Circle Limit
- Tessellating with Hyperbolic Triangles?
- Tessellation Failure
- The Poincaré Disk
- Polygon Angle Sums in Hyperbolic Geometry
- Similar Triangles Are Congruent
- Regular Polygons in Hyperbolic Geometry
- Rule for Hyperbolic Tessellations by Regular Polygons
- The Hyperbolic (5,4) Tessellation
- The Hyperbolic (3,7) Tessellation
- Make Your Own Hyperbolic Tessellation
- Conclusion
- BONUS: Quasi-Regular Hyperbolic Tessellations