Slides Student lecture Urania, Berlin, March 11, 2014: "Projective Geometrie" slides. Resource page for Bridges 2013 presentation (slides, webstarts, etc). Lange Nacht der Wissenschaft 2013, "Projective Geometrie" slides. Chapel Hill "Clifford Algebra and Euclidean Sandwiches" slides. Preprints "Rational Trigonometry via Projective Geometric Algebra"", January 2014, 7 pages. Publications |
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"Doing euclidean plane geometry using projective geometric algebra", Advances in Applied Clifford Algebras, pp. 1-30, October, 2016, doi:10.1007/s00006-016-0731-5, online at springer.link.com. "Geometric algebras for euclidean geometry",Advances in Applied Clifford Algebras, 27(1), pp. 185-208, doi:10.1007/s00006-016-0647-0. "Rendering the Whole World Using Conformal Curvilinear Perspective", Proceedings of the Bridges International Conference, Enschede, Holland, July 27-31, 2013, pp. 425-428. (Extended Version for CD Proceedings) "On the Homogeneous Model of Euclidean Geometry", in A Guide to Geometric Algebra in Practice, edited by Leo Dorst and Joan Lasenby, Springer, 2011, Ch. 15, pp. 297-327 (author's copy here). "On the Homogeneous Model of Euclidean Geometry [Extended Version]", An extended version of the previous entry with extra background, details, and exercises. "Geometry, Kinematics, and Rigid Body Mechanics in Cayley-Klein Geometries", Ph. D. Thesis, Mathematics, Technisches Universität Berlin, September 2011, 170 pp. "Advances in Metric-neutral Visualization", pp. 17-26, Proceedings of GraVisMa 2010 Brno, Czech Republic, October 7-9, 2010. “Ribbon Edges: A New Impulse for Geometric Sculpture” “JReality: A Java library for real-time interactive 3D graphics and audio”, with Steffen Weissmann and Peter Brinkmann, “ The Borromean Rings: A Video about the new IMU Logo”, with John Sullivan, "Visualizing Non-euclidean Geometry", in "Oorange: A Virtual Laboratory for Experimental Mathematics", with Armin Ortman, Ulrich Pinkall, Konrad Polthier, Uwe Schwarz, in "Mathenautics: Using Virtual Reality to Visit Three-Dimensional Manifolds", with Randy Hudson, "Discrete Groups and the Visualization of Three Dimensional Manifolds", "Visualizing Hyperbolic Space", in "Remarks on Mathematical Courseware", in "Not Knot", technical director, (16-minute computer-generated animation),published by Jones and Bartlett, Boston, 1991. Award of Distinction, Prix Ars Electronica, Linz 1992. |
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