MAT 360 Geometric Structures Prof. Sutherland Stony Brook University Spring 2004 MWF 11:45-12:40 Light Engineering 154

 Course Description (also in pdf)    (updated Friday, 6 February 2004) Textbook, grading policy, grader, email addresses, phone numbers, and other administrivia. Estimated schedule and homework assignments.    (updated Sunday, 2 May 2004) To see your course grades as of [an error occurred while processing this directive], enter your Last Name and Stony Brook ID then click . Web links and stuff. ( indicates the page needs java to function properly.) Some sources for the textbook other than the bookstore. A java-enhanced version of Euclid's Elements. Or, if you are impatient, you might prefer a quick trip through the Elements. A brief history of non-Euclidean geometry. Many proofs of the Pythagorean Theorem (43 last time I looked) from Cut-The-Knot, which has a lot of nice stuff on geometry. An interactive page with the four classical "centers" of a triangle (as well as the excenter and the Euler line). A much longer list of triangle centers can be found on Clark Kimberling's Triangle Centers page. He also has a number of nice animations. The nine-point circle. The Theorems of Menelaus and Ceva. Three Euclidean construction exercises: bisecting a segment, constructing a tangent, constructing a regular octagon. (Sadly, some people's computers hate these exercises.) Circumscribing a hyperbolic triangle (sometimes you can, sometimes you can't). A pair of hyperparallel lines, and a pair of parallels that aren't. The defect of a hyperbolic triangle. The NonEuclid site has a fair amount of meterial about hyperbolic geometry, including a java applet to do constructions in the hyperbolic plane. How to make some approximate hyperbolic planes, (out of paper, or crocheting one), from David Henderson's text Experiencing Geometry in Euclidean, Spherical, and Hyperbolic Spaces. Hyperbolic construction exercises: equilateral triangle, inscribed reqular quadrilateral, and a circmscribed reqular quadrilateral. The Geometry of the Sphere, by John Polking. The knot theory notes that we will be using. Also, an applet to help compute the Lake and Island polynomial in certain examples. A number of links to various pages on knot theory. Computing the Jones polynomial of the trefoil and other knots.

More stuff will arrive here when there is more to put here. Until then, this page will remain the same, unless it changes. (I last made a change on Tuesday, 4 May 2004, or thereabouts. )