期刊名称：Hyperseeing / The International Society of the Arts, Mathematics, and Architecture
出版年度：2011
卷号：2011
期号：winter
出版社：Albany, NY : Isama
摘要：A hyperbolic surface is characterized by the property, that locally, in the vicinity of each point, it looks like a
saddle. So it is definitely not a flat surface. You will only get a very crude approximation, if you try to model
it out of flat pieces of cardboard. This dilemma was already noticed centuries earlier, when the first map
makers tried to faithfully depict the globe (mathematical sphere) on a flat sheet of paper. Trying to do that
introduces distortions that will either make the landmasses near the north and south pole appear larger or the
regions near the equator appear smaller than they are relative to land masses elsewhere. In essence we have
discovered spherical, flat and hyperbolic geometry.
