PERHAPS the main interest of this work is that it treats the subject in a way that is comparatively new, and one that is likely enough to be generally adopted. Until quite recently, most works on ...

In our mind’s eye, the universe seems to go on forever. But using geometry we can explore a variety of three-dimensional shapes that offer alternatives to “ordinary” infinite space. When you gaze out ...

THIS work, which is primarily a formal treatise on the differential geometry of curves, surfaces, and threefold regions in ordinary homaloidal space of four dimensions, follows fairly closely on the ...