 Advanced Geometry  Math Forum
Links to some of the best Internet resources for advanced geometry: Web sites, software, Internet projects, publications, and public forums for discussion.
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 Convex Hull Algorithms  Tim Lambert
An applet that demonstrates some algorithms for computing the convex hull of points in three dimensions. See the points from different viewpoints; see how the Incremental algorithm constructs the hull, face by face; while it's playing, look at it from
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 Cracking Kepler's spherepacking problem  Ivars Peterson; Science News Online
The familiar piles of neatly stacked oranges at a supermarket represent a practical solution to the problem of packing spheres as tightly as possible. Now, a mathematician has proved that no other arrangement of identical spheres fills space more efficiently.
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 Dave's Geometric Pix Gallery  David Joyce; Dept. of Mathematics & Computer Science, Clark University
Mandelbrot and Julia sets, with a generation form and an Explorer on which you can point and click to get more refined images;
Newton Basins and a form to generate them; a page describing tiling the hyperbolic plane; some wallpaper groups; a gallery
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 Discrete and Computational Geometry  SpringerVerlag
An international journal of mathematics and computer science that accepts research articles of high quality in discrete geometry and on the design and analysis of geometric algorithms; more specifically, DCG publishes papers on such topics as configurations
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 EG Models (Electronic Geometry Models)  Michael Joswig, Konrad Polthier
A refereed archive of interesting geometric examples and visualizations, open for any geometer to publish new geometric models, or to browse the models for material to be used in education and research. The geometry models cover a broad range of mathematical
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 Erich's Combinatorial Geometry Page  Erich Friedman
Famous and infamous problems with diagrams and some solutions and proofs. Includes: tree planting problems; circles through points; maximizing squares; triangulating squares; triangulating triangles; lines avoiding squares; lines avoiding points; points
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 Erich's Packing Center  Erich Friedman
A huge collection of packing problems, each explained with graphics. 2D examples include Triangles in Squares, Circles in Squares, Squares in Squares, Triangles in Triangles, Circles in Triangles, Squares in Triangles, Triangles in Circles, Circles in
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 Geometry and Topology: Recent Papers 19891993  Univ. of Melbourne, Australia
A bibliography of eprints from the Dept. of Mathematics and Statistics, Univ. of Melbourne, Australia.
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 The Geometry Junkyard  David Eppstein, Theory Group, ICS, Univ. of California at Irvine
A collection of usenet clippings, web pointers, lecture notes, research excerpts, papers, abstracts, programs, problems, and other stuff related to discrete and computational geometry  some serious and much also entertaining. Junk sorted into piles (Topics):
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 Illustrated 4D Computer Graphics  Kirby Urner, 4D Solutions
Curriculum Concepts from the Fuller School. Primitive topologies: nonEuclidean definitions of points, lines, planes as nonzero, parameterized entities, with light affecting properties in ray traced views; Concentric hierarchy: a reference frame relating
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 Jeffrey C. Lagarias
A member of the University of Michigan Department of Mathematics. List of publications, with many available for download in PostScript format; Lagarias' research interests include Number Theory, also Computational Complexity Theory, Cryptography, Discrete
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 The Kepler Conjecture  Thomas C. Hales, Samuel P. Ferguson
The authors claim to have proved the Kepler Conjecture, that no packing of equalsized spheres in space can have greater density than that of the facecenteredcubic packing. The full proof is included in over 250 pages of postscript format, with in addition
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 Kepler's Sphere Packing Problem Solved  Keith Devlin (Devlin's Angle)
Mathematician Thomas Hales of the University of Michigan announced last month that after six years effort, he had proved that a guess Kepler made back in 1611 was correct. The problem asks what is the most efficient way to pack equalsized spheres together
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 MathGuide  Lower Saxony State and University Library, Göttingen (SUB), Germany
An Internetbased subject gateway to scholarly relevant information in mathematics, with subject and source type catalogues, and a search engine. Resources are described and evaluated, new resources are continuously added, and already cataloged resources
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 MG Metric Geometry (Front for the Mathematics ArXiv)  Univ. of California, Davis
Metric Geometry preprints, from the U.C. Davis front end for the xxx.lanl.gov ePrint archive, a major site for mathematics preprints that has incorporated many formerly independent specialist archives. Search by keyword or browse by topic.
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 Polyhedra and Polytopes (The Geometry Junkyard)  David Eppstein, Theory Group, ICS, UC Irvine
An extensive annotated list of links to material on geometric properties of polygons, polyhedra, and higher dimensional polytopes (particularly convex polytopes).
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 Profile (John H. Conway): Not Just Fun and Games  Mark Alpert, Scientific American
A short biography of the Englishborn Princeton University mathematician and a discussion of some of his major mathematical contributions. ...over the past three decades Conway has made some of his greatest contributions to mathematical theory by analyzing
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 The Quadray Papers  Kirby Urner, 4D Solutions
An Introduction to Quadrays. The game of quadrays starts with a regular tetrahedron and four rays pointing from its center to the four corners; these or any ray built from these rays are labelled 4tuples  i.e. four numbers separated by commas and enclosed
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 sarahmarie belcastro's home page  SarahMarie Belcastro
From one of the authors of Making Mathematics with Needlework: "I seem to have become a topological graph theorist while I wasn't looking. I am also interested in convex and combinatorial geometry, algebraic geometry, topology, algebra, the geometry of
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 Secrets of the Beehive  Keith Devlin; Guardian Unlimited Archive
The 4th century geometer Pappus was one of several ancient Greek mathematicians who suspected that the elegant shape of the honeycomb was a result not of an innate beesense of geometric beauty but of nature's efficiency. The repeating pattern of sixsided
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 Soap Films and Grid Walks  Ivars Peterson (MathLand)
A simple, physical demonstration of a mathematical truth can produce a lasting impression  one that inspires new questions and speculations. For Christopher C. Chang, a student at Henry M. Gunn Senior High School in Palo Alto, Calif., and one of 40 finalists
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 Tiling and Packing results  Torsten Sillke
Packing problems, mostly, in English, with some in German. Packing Polycubes and Polyspheres; Tilings with Matching Conditions; links.
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 Triangles and Simplices (The Geometry Junkyard)  David Eppstein, Theory Group, ICS, UC Irvine
An extensive annotated list of links to material on triangles and their higherdimensional generalizations (simplices), with a particular interest in partitioning regions into triangles, tetrahedra, or higher dimensional simplices, for various applications
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