Los Angeles Math Circle

11/18 -- Junior Circle: Geometry on a cylinder. (Oleg Gleizer)

We will learn that there are infinitely many geodesic lines ("straight lines") connecting two points in general position on a cylinder. We will use this information to construct triangles on a cylinder. We will also learn that there exist two types of circles on a cylinder. One of them is just like a circle in the Euclidean plane, the other looks more like the number 8.