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Graphics and links for various packing, tiling and covering problems.
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Erich's Packing Center Triangles in Squares Circles in Squares Squares in Squares Tans in Squares Triangles in Triangles Circles in Triangles Squares in Triangles Circles in Tans Triangles in Circles Circles in Circles Squares in Circles Tans in Circles Triangles in Hexagons Circles...Java applet demonstrating the catenary.
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PROBLEM OF THE MINIMUM ROTATION-SURFACE It is necessary to find a generating line of the rotation-surface with minimum area. It is known that the line to be found is a catenary. Depending on the concrete boundary conditions, there can exist either two solutions of the...Includes collections from various areas in which ideas from discrete and computational geometry meet real world applications.
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Geometry in Action This page collects various areas in which ideas from discrete and computational geometry (meaning mainly low-dimensional Euclidean geometry) meet some real world applications. It contains brief descriptions of those applications and the geometric questions arising from them, as well as...Usenet clippings, web pointers, lecture notes, research excerpts, papers, abstracts, programs, problems, and other stuff related to discrete and computational geometry.
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The Geometry Junkyard These pages contain usenet clippings, web pointers, lecture notes, research excerpts, papers, abstracts, programs, problems, and other stuff related to discrete and computational geometry. Some of it is quite serious, but I hope much of it is also entertaining. The...Cabri constructions for the demonstration of the basic concepts of hyperbolic geometry in the Poincare disc model.
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Hyperbolic Geometry This page and links maintained by Tim Lister, t.c.lister@open.ac.uk Last updated: 24/09/01 A tessellation of the hyperbolic plane H2 (the Poincar unit disc model) by (2, i, i) triangles, that is, with angles (90, 0, 0 Every triangle has two...History of Mathematics, very strong on geometry.
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Bette Veteto's Homepage The purpose of this site is to add a reading and writing component to my math classes. Students Choose a topic, read about it, and write a short report The University of Memphis Memphis, TN Chambered Nautilus Fibonacci Sequence Table...Mathematical descriptions and ray-traced images of various types of Steiner surfaces
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Steiner Surfaces F for constant coefficients A, B, C, D, E, F. If you plot the parametric graph (x,y,z p1/p0 p2/p0 p3/p0) for some range of input values u, v, the image should be a two-dimensional surface in (x,y,z)-space. It's called a...A collection of parametric and implicit equations.
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Mathematical Surfaces Click on picture to go to a page with a larger version of the image. Dini's surface ,description. Enneper's surface ,description. Threefoil knot ,description. Klein Bottle ,description. Dupin Cyclide ,description. Steiner's Roman Surface ,description. Boy's Surface ,description. Kuen's Surface ,description....A collection of interactive geometry applets. Topics include polyhedra, Poncelet's porism, Soddy's hexlet, Mandelbrot set, Steiner porism, Pappus's chain, Repulsion polyhedra and stereo pictures.
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Stellations a polyhedron generator A fractal tetrahedron A logarithmic Spiral Stereo Polyhedra Moving Wallpaper Repulsion polyhedra discussion and generator Dijkstra's shortest path algorithm Soddy's Hexlet Mail me A Good Web Authoring Program The images were created with Gif construction set...Includes Steiner's Porism and the arbelos.
http://www.maths.gla.ac.uk/~wils...ipages/inversive/inversive0.html
Volunteer tutors help you work through your geometry problems for free.
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Allexperts Geometry Q&A Volunteer for this subject! Question Archive About Us Feedback Expert Login Top Experts of the Month! Tell friends about us! Link to us! Disclaimer Ask any question! Allexperts.com is the oldest largest free Q&A service on the Internet Category: Geometry...Includes packings of equal objects in containers together with source codes to obtain them numerically.
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Packomania (52C17) This page is dedicated to the Hungarian mathematicians who are the pioneers in this discipline Circles in a square Circles in a circle Circles in rectangles Last updated: 01-Jul-2005 Last updated: 02-Sep-2004 Last updated: 28-Oct-2002 Source code available too! calculation...Course notes by Bill Cherowitzo.
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Math 3210 Higher Geometry I You are visitor to this page since August 7, 1998 Last Updated August 1, 1998 wcherowi@carbon.cudenver.edu...A java applet with substantial analysis related to distances on a rectangular box.
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Distances on the surface of a cubical box This applet demonstrates distances across the surface of a rectangular box. More information below. Since you are reading this, you are not seeing the applet. Sorry, but I hope the rest of the page makes some kind of sense. Contents...Includes articles on topics in elementary and not so elementary geometry, many with interactive Java illustrations and multiple proofs.
http://www.cut-the-knot.com/geometry.html
A discussion of Morley's famous theorem and the research of which it was a tiny part. 5 proofs are given including J. Conway's, D. Newman's, and A. Connes'.
http://www.cut-the-knot.com/triangle/Morley/index.html
Those interested in examining the previous incarnation of the Math Forum may search the archives of the Geometry Forum.
http://mathforum.org/discussions/epi-search/geom.forum.html
By Ephraim Fithian.
http://homepage.mac.com/efithian/geometry.html
It provides important formulations for finding a center of points in 2 or higher dimensional space. It can be used in drawing delauney triagulation and voronoi diagram in two or higher dimensions. It also describes how many points are required in defining a center in n-dimensional space.
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To find center, the unique point in 2 or higher-dimensional space Some formulae for finding the centre of a circle or sphere or in general hypersphere, which will pass through some given number of points are given here. We can draw infinite number of circles, which can pass through one or...Includes formulas, definitions and three dimensional image illustrations.
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Geometry The contents of this web site are Copyright Paul Bourke or a third party contributer where indicated. You may print or save an electronic copy of parts of this web site for your own personal use. Permission must be sought...Features an illustrated dictionary of special plane curves, a paper on wallpaper groups, mathematics image gallery and links to software packages.
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the Homepage of Xah Lee American soldiers are dead and counting, but do you know how many non-gun-toting human animals of Islamic faith are killed? That's 30 to 50 thousand. Terrorism won't die when there is deep hatred, and deep hatred won't go away by...Discusses double shell structured periodic systems, platonic spheres, molecular and crystal structures, and FlashSort algorithms.
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Dr. Neubert's Website: Welcome! Entropy Reduction Laboratory This site is intended to provide a new look onto traditional natural science problems which have found well accepted solutions in the past. Also, the aim of this site is to offer animated views (e.g. 3D models) on appealing topics....Graffiti is a computer program that makes conjectures in mathematics and chemistry. Links to the conjectures and bibliography.
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On Conjectures of Graffiti This page uses frames, but your browser doesn't support them....Information and resources about geometric group theory and low-dimensional topology. People, groups, meetings, links.
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Geometric Group Theory Page provides information and resources about geometric group theory and low-dimensional topology, although the links sometimes stray into neighboring fields. This page is meant to help students, scholars, and interested laypersons orient themselves to this large and ever-expanding body of...By Clark Kimberling. Over 1000 triangle centres in a searchable compilation with diagrams.
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FRONT COVER, a support page for ENCYCLOPEDIA TRIANGLE CENTERS Click All for ETC as one large file. Or, select a Part from the list below. Centers 1-200, including the best-known centers Centers 201-400 Centers 401-600 Centers 601-800 Centers 801-1000 Centers 1001-1114...Search the Geometry Problem of the Week's archive of creative, non-routine challenges, as well as submissions and commentary, dating back to 1993.
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Math Forum: Geometry POW/POM Search Click only once for faster results: Do you want to find items that have: At least one of your keywords, all, in any order, or that exact phrase? Do you want to find items containing your keywords as complete words...Web site for the (now closed) Center for the Computation and Visualization of Geometric Structures at the University of Minnesota. Graphics, multimedia, software, teaching resources.
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The Geometry Center Welcome Page Read about the details here. WebEQ is a suite of Java programs for putting math on the web using MathML. Includes an equation editor, tex translator, and Java APIs. Science comes alive at ScienceU! Create beautiful symmetries, manipulate 3D solids,...Excerpts from the 30th Edition of the CRC Standard Mathematical Tables and Formulas (1995), namely, the geometry section minus differential geometry.
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Geometry Formulas and Facts This document is excerpted from the 30th Edition of the 160; CRC Standard Mathematical Tables and Formulas, published in late 1995 by CRC press. This completely rewritten and updated edition of CRC's classical reference work is edited by Dan Zwillinger,...Geometry exercises for a two-week summer workshop led by John Conway, Peter Doyle, Jane Gilman and Bill Thurston at the Geometry Center in Minneapolis, June 1991.
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This document consists of the collection of handouts for a two-week summer workshop entitled Geometry and the Imagination led by John Conway, Peter Doyle, Jane Gilman and Bill Thurston at the Geometry Center in Minneapolis, June 17-28, 1991. The workshop...At the Geometry Center.
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A Gallery of Interactive On-Line Geometry In order to enjoy this exhibit, you will need a Web browser that understands graphical Fill-Out Forms. See our list of browsers for more information. WebPisces This web-based interface to the Pisces program allows you to compute implicitly defined curves...Information on the recent proof of Kepler conjecture on sphere packings.
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This page is available for historical purposes only. It is a copy from www.math.lsa.umich.edu/~hales/countdown. It has not been maintained since 1998....Geometry professors and instructors may keep informed of the latest research conducted in their field at the geometry-research discussion list.
http://mathforum.org/epigone/geometry-research/
Free online book on geometry in pdf format. Contains material not easily found elsewhere from detailed exposition of elementary absolute geometry based on Hilbert's axioms to more advanced topics.
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Fundamentals of Geometry Euclid if there was not a shorter road to geometry than through the Elements, and Euclid replied that there was no royal road to geometry While there are no royal roads to geometry, I invite you on a hitchhiking trip...Using the length of the three sides. The proof is better understood than the old one.
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The Triangle Area The old way to calculate the area of a triangle from its three sides a, b and c is: First find s a b c the area of the triangle s(s-a)(s-b)(s-c)]1/2 a, b ,c 0 and s(s-a)(s-b)(s-c) 0. A new...A husband and wife from Cornell University have come up with a crafty way to illustrate high-level geometry concepts -- by manipulating yarn into models that help explain the curvature of spaces. The mathemeticians talk with NPR's Jacki Lyden about hyperbolic crocheting. [4:47 streaming audio broadcast]
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NPR Mathematicians Get Crafty with Geometry Radio archives transcripts stations npr shop about npr contact us help Education Mathematicians Get Crafty with Geometry by Jacki Lyden Enlarge Steve Rowell A model of the hyperbolic plane crocheted by Daina Taimina. The Institute For Figuring Enlarge Steve Rowell...Several properties of the complete quadrilateral illustrated with Java applets
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The Complete Quadrilateral An interactive column using Java applets by Alex Bogomolny The Complete Quadrilateral December 2002 I have heard Mr Hobbes say, that he was want to draw lines on his thigh and on the Sheets, abed, and also multiply and divide....The Butterfly theorem and its generalizations illustrated by Java applets.
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An interactive column using Java applets by Alex Bogomolny The Lepidoptera of the Circles May 2003 The insect order Lepidoptera, with as many as 100,000 species, is second only to the Coleoptera, the beetles. In addition to the familiar butterflies...A collection of all 15 propositions from Archimedes' Book of Lemmas with complete proofs, each accompanied by a Java illustration.
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Archimedes Book of Lemmas Lemmas has reached us as an Arabic manuscript that is universally believed to be a translation of a work by Archimedes. There is a reference to Archimedes himself that puts the authorship in question, but also may be a later...Provides area and volume formulas of common geometrical figures
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Area and volume formulas of common geometrical figures Rectangle of a and b sides Area a* b Perimeter 2a 2b Triangle of h height and a, b and c sides Area 0.5 b h 0.5 b a sin (ang) Perimeter a b c Circle of R radius Area...High school students solve complex geometric problems by using GLad Sketchpad. Page includes diagrams.
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New Mathematical Findings by Secondary Students Dynamic geometry software is changing the way we teach and learn geometry In this article, we review a selection of new results, published during the last five years, which were found by secondary students using mostly this type of software...Discussion board for geometry professors and instructors to keep informed of the latest research.
http://mathforum.org/kb/forum.jspa?forumID=130