I posted earlier on a way of visualizing the fibers of certain maps from high dimensions to low dimensions. Specifically, if the range can be embedded in the domain so that f is the identity of the image of the range, then we can draw the inverse image at each point. I had some images of functions whose inverse image was a torus, but had trouble making these sorts of images for maps , so that the inverse image of a point is a line. Well, no more! Here are two images, one is the projection of a cube onto a square, and the other is somewhat more complicated, and is the string hyperboloid map. See the previous post for more details on these specific maps, but I just thought these were nice images!