Nicholas Jackiw and Steven Rasmussen presented this talk in 2005 at the Hong Kong Polytechnic University. This talk focuses on how the geometry of the Euclidean plane has served as a model in the development of other mathematical topics at the advanced level. Through a Dynamic Geometry perspective, we develop two particularly satisfying results: Euler's formula in complex analysis, and the possibility of {k, 3} tessellations of the hyperbolic plane.

Sketch: HK_Beyond_the_Plane-.gsp