Baby Jupiter's huge weight gain

The planet Jupiter must have gained mass fast during its infancy, according to astronomers.

news.bbc.co.uk

Beagle hunter

On a mission to find the most famous ship of science

news.bbc.co.uk

Mosquitoes make sweet love music

Sexy songs sung by mosquitoes in courtship could be key to curbing the spread of dengue fever, say scientists.

news.bbc.co.uk

Feilden's blog

Ground-breaking new technique in stem cell science

news.bbc.co.uk

Black holes 'preceded galaxies'

Astronomers believe they have solved a cosmic chicken-and-egg question: what came first - black holes or galaxies?

news.bbc.co.uk

First flight of algae-fuelled jet

Continental Airlines is the latest to test fly a jet biofuel, this time with a product derived partially from algae.

news.bbc.co.uk

Eat it or lose it - why centuries of crop diversity are at risk

Centuries of crop diversity are at risk of being lost forever as farmers turn to just a few modern, high yielding varieties.

news.bbc.co.uk

Venomous mammal caught on camera

Rare footage of one of the world's most strange and elusive mammals is captured by scientists.

news.bbc.co.uk

Holes give edge to new armour

Scientists from the UK Ministry of Defence (MoD) have devised ultra-hard vehicle armour to protect military personnel.

news.bbc.co.uk

A deep-sea fish caught in the Pacific has mirrors for eyes

A deep-sea fish caught in the Pacific has eyes which use mirrors as well as lenses, scientists discover.

news.bbc.co.uk

Zimbabwe troops 'eat elephants'

A Zimbabwean wildlife campaigner tells the BBC that soldiers are being given elephant meat to eat, as the economic crisis deepens.

news.bbc.co.uk

Tech fair offers greener vision

Analysts at the Consumer Electronics Show say green credentials of tech products will become critical to success.

news.bbc.co.uk

Heat may spark world food crisis

Half the world's population could face food crisis by 2100 as soaring temperatures cripple staple crops, scientists warn.

news.bbc.co.uk

Animal matters

Scotland's debate over tests on primates

news.bbc.co.uk

Earth Watch

Why it is hard to predict sudden environmental crises

news.bbc.co.uk

Canadians claim South Pole record

A trio of Canadians claim a new record for the fastest trek across Antarctica to the South Pole.

news.bbc.co.uk

Our writers talk back

Some of the previous contributors to the Green Room respond to readers' questions and comments.

news.bbc.co.uk

Body repair 'could be ramped up'

A combination of drugs could trick the body into sending its repair mechanisms into overdrive, say scientists.

news.bbc.co.uk

US vows 'huge' marine protection

The US is to establish "the largest area of protected sea in the world", banning fishing and mining, around its Pacific islands.

news.bbc.co.uk

Panda bites his third tourist in two years at Beijing zoo

A panda at Beijing zoo bites a man for the third time in two years.

news.bbc.co.uk

Poetry or science?

Is romantic love just a chemical cocktail?

news.bbc.co.uk

China alert over bird flu death

Chinese authorities shut down and clean poultry markets in Hebei province, after the first human death in nearly a year.

news.bbc.co.uk

Everest trip helps critically ill

Blood oxygen levels recorded on a trip by medics to Everest could help the treatment of critically ill patients.

news.bbc.co.uk

Mummy of female pharaoh uncovered

Egyptologists find remains of a mummy thought to belong to a queen who ruled 4,300 years ago, Egypt's antiquities chief announced.

news.bbc.co.uk

'Wolfman' returns

Explorer Jim McNeill tracks down Arctic wolves

news.bbc.co.uk

 Science > Geometry

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Science > Geometry

Geometry:

Archimedes' Book of Lemmas

A collection of all 15 propositions from Archimedes' Book of Lemmas with complete proofs, each accompanied by a Java illustration.

http://www.cut-the-knot.org/Curriculum/Geometry/BookOfLemmas/index.shtml

Bette Veteto's Homepage

History of Mathematics, very strong on geometry.

http://www.people.memphis.edu/~brveteto/

Bob's Pages

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.

http://members.ozemail.com.au/~llan/

Graand

Free Classified Ads Portal

www.graand.com

Center of Points in 2- or Higher-dimensional Space

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.

http://www.geocities.com/kiranisingh/center.html

The Complete Quadrilateral

Several properties of the complete quadrilateral illustrated with Java applets

http://www.cut-the-knot.org/ctk/CompleteQuadrilateral.shtml

Conjectures Produced by the Program Graffiti

Graffiti is a computer program that makes conjectures in mathematics and chemistry. Links to the conjectures and bibliography.

http://cms.dt.uh.edu/faculty/delavinae/research/wowref.htm

Cuboid and Cube Surface Distances

A java applet with substantial analysis related to distances on a rectangular box.

http://www.btinternet.com/~se16/js/cuboid.htm

Cut the Knot

Features articles about specific problems, illusions, and puzzles. Includes diagrams.

http://www.cut-the-knot.org/geometry.shtml

Encyclopedia of Triangle Centers

By Clark Kimberling. Over 1000 triangle centres in a searchable compilation with diagrams.

http://faculty.evansville.edu/ck6/encyclopedia/

The Entropy Reduction Laboratory by Karl-Dietrich Neubert

Discusses double shell structured periodic systems, platonic spheres, molecular and crystal structures, and FlashSort algorithms.

http://www.neubert.net/

Erich's Packing Center

Graphics and links for various packing, tiling and covering problems.

http://www.stetson.edu/~efriedma/packing.html

Fundamentals of Geometry

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.

http://polly.phys.msu.ru/~belyaev/geometry.htm

A Gallery of Interactive On-Line Geometry

At the Geometry Center.

http://www.geom.uiuc.edu/apps/gallery.html

Geometric Group Theory

Information and resources about geometric group theory and low-dimensional topology. People, groups, meetings, links.

http://www.math.ucsb.edu/~jon.mccammond/geogrouptheory/

Geometry

By Ephraim Fithian.

http://homepage.mac.com/efithian/geometry.html

Geometry and the Imagination in Minneapolis

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.

http://www.geom.uiuc.edu/docs/doyle/mpls/handouts/handouts.html

Geometry Center

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.

http://www.geom.uiuc.edu/

Geometry Formulas and Facts

Excerpts from the 30th Edition of the CRC Standard Mathematical Tables and Formulas (1995), namely, the geometry section minus differential geometry.

http://www.geom.uiuc.edu/docs/reference/CRC-formulas/

Geometry from the Land of the Incas

Presents problems involving circles and triangles, with proofs, SAT practice quizzes and famous quotes. Also, has examples of geometry in Peruvian culture.

http://agutie.homestead.com/

Geometry in Action

Includes collections from various areas in which ideas from discrete and computational geometry meet real world applications.

http://www.ics.uci.edu/~eppstein/geom.html

The Geometry Junkyard

Usenet clippings, web pointers, lecture notes, research excerpts, papers, abstracts, programs, problems, and other stuff related to discrete and computational geometry.

http://www.ics.uci.edu/~eppstein/junkyard/

Geometry Page from Interactive Mathematics Miscellany

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

Geometry/Topology at Michigan State University

Activities of the geometry/topology group at Michigan State University.

http://www.math.msu.edu/gt/

GLaD Comments

A new type of geometric construction that was discovered by Dan Litchfield and David Goldenheim. Includes general explanation and sketch examples.

http://jwilson.coe.uga.edu/Texts.Folder/GLaD/GLaD.Comments.html

Go Geometry

Offers a variety of resources for teaching and learning about geometry. Problems and theorems are presented with step-by-step solutions for each proof.

http://www.gogeometry.com

The Kepler Conjecture

Information on the recent proof of Kepler conjecture on sphere packings.

http://www.math.pitt.edu/~thales/kepler98/

The Lepidoptera of the Circles

The Butterfly theorem and its generalizations illustrated by Java applets.

http://www.cut-the-knot.org/ctk/Lepidoptera.shtml

Math 3210 - Higher Geometry I

Course notes by Bill Cherowitzo.

http://www-math.cudenver.edu/~wcherowi/courses/m3210/m3210.html

Math Forum: Geometry POW/POM Search

Search the Geometry Problem of the Week's archive of creative, non-routine challenges, as well as submissions and commentary, dating back to 1993.

http://mathforum.org/powgrepform.html

Math Forum: Geometry.research

Discussion board for geometry professors and instructors to keep informed of the latest research.

http://mathforum.org/kb/forum.jspa?forumID=130

Math Forum: Search geometry-forum

Those interested in examining the previous incarnation of the Math Forum may search the archives of the Geometry Forum.

http://mathforum.org/kb/forum.jspa?forumID=126

Mathematical Curves and Surfaces

Graphical representations of computer generated forms. (French/English).

http://pagesperso-orange.fr/roger.assouly/

Morley's Miracle

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

New Mathematical Findings by Secondary Students

High school students solve complex geometric problems by using GLad Sketchpad. Page includes diagrams.

http://www.javeriana.edu.co/universitas_scientiarum/universitas_docs/vol6n2/ART1.htm

Packomania

Includes packings of equal objects in containers together with source codes to obtain them numerically.

http://hydra.nat.uni-magdeburg.de/packing/packing.html

Paul Bourke's Geometry Page

Includes formulas, definitions and three dimensional image illustrations.

http://astronomy.swin.edu.au/~pbourke/geometry/

Polyedergarten

Shows paper models of polyhedra.

http://www.polyedergarten.de

Problem of the Minimum Rotation Surface

Java applet demonstrating the catenary.

http://home.imm.uran.ru/iagsoft/PMRS_J.html

Sangaku: Reflections on the Phenomenon

Critical reflections on the sangaku phenomenon accompanied by a collection of solved sangaku problems, many with interactive Java illustrations.

http://www.cut-the-knot.org/pythagoras/Sangaku.shtml

Steiner Surfaces

Mathematical descriptions and ray-traced images of various types of Steiner surfaces.

http://www.ipfw.edu/math/Coffman/steinersurface.html

Tim Lister's Hyperbolic Geometry

Cabri constructions for the demonstration of the basic concepts of hyperbolic geometry in the Poincare disc model.

http://mcs.open.ac.uk/tcl2/nonE/nonE.html

Wilson Stothers' Inversive Geometry and CabriJava Pages

Includes Steiner's Porism and the arbelos.

http://www.maths.gla.ac.uk/~wilson/cabripages/inversive/inversive0.html

Xah's Personal Page

Features an illustrated dictionary of special plane curves, a paper on wallpaper groups, mathematics image gallery and links to software packages.

http://xahlee.org/PageTwo_dir/more.html

NPR : Mathematicians Get Crafty with Geometry

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] (March 13, 2005)

http://www.npr.org/templates/story/story.php?storyId=4531695