Presenter: Sheetal Kommoju, Pennsylvania State University - Brandywine
Abstract: In this video, I present various geometric properties on hyperbolic planes using crocheted models. “Straight lines,” or geodesics, can be drawn and stitched onto the crocheted model simply by folding and tracing. This allows us to easily display concepts such as ideal triangles, types of divergence, the parallel postulate, and the non-existence of rectangles. For comparison, we also look at representations of these concepts on the Poincare and upper half-plane models as well as explore analogous properties on the Euclidean plane and sphere. This work was completed as part of an independent study project using Daina Taimina’s book “Crocheting Adventures with Hyperbolic Planes.”
