tag:blogger.com,1999:blog-6555947.post108068493124198676..comments2014-01-12T10:46:48.153-07:00Comments on The Geomblog: Hyperbolic Geometry And Graph VisualizationSuresh Venkatasubramaniannoreply@blogger.comBlogger1125tag:blogger.com,1999:blog-6555947.post-55513416834668343922009-11-05T01:53:36.640-07:002009-11-05T01:53:36.640-07:00Dear David,
You might like to know about a dramat...Dear David,<br /><br />You might like to know about a dramatic new framework for this illustrious subject. It is based on Rational Trigonometry (see my YouTube series called `Wildtrig') and is laid out from first principles in the paper `Universal Hyperbolic Geometry I: Trigonometry' on the ArXiV at<br /><br />http://arxiv.org/abs/0909.1377<br /><br />Roughly, we extend the Beltrami Klein model to the whole projective space, introduce quadrance and spread to replace distance angle, and work over a general field. Most of the usual theorems become much simpler and more elegant, and there are a raft of new theorems, often remarkable. <br /><br />Norman Wildberger (Assoc Prof UNSW)Norman Wildbergernoreply@blogger.com