Description: Pure Mathematics Seminar given at UNSW in the School of Mathematics and Statistics. AssocComputational Geometry - Prof N J Wildberger explains a new approach to hyperbolic geometry which links it directly to Einstein and Minkowski's relativistic geometry viewed projectively. The idea is to extend Rational Trigonometry to the hyperbolic setting. The first part of the lecture motivates with a summary of classical hyperbolic geometry, then the purely algebraic set-up is introduced. Quite a few new results are introduced.