This lab is to help you think about lines and how they might be viewed intrinsically and extrinsically.

Take a sheet of patty paper and fold a line like so:

Now fold your paper into a cylinder. From our perspective, we have a cylindrical surface, two-dimensional, in three-dimensional space. This surface has a curve on it. Our perspective seems necessarily three-dimensional, and is called an extrinsic point of view, relative to the cylindrical surface.

Now, imagine a bug sitting on the line you folded (which now looks curved to us), a bug that is aware only of the two-dimensional world it crawls on: the cylinder. If the bug now travels on this line - curve to us - what would its perception be?

Draw the curve (line) as you see it on your paper on the diagram below.

MORE TO COME!