Our writers talk back

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

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

Beagle hunter

On a mission to find the most famous ship of science

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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.

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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

Black holes 'preceded galaxies'

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

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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.

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Poetry or science?

Is romantic love just a chemical cocktail?

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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

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.

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Everest trip helps critically ill

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

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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.

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Animal matters

Scotland's debate over tests on primates

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Earth Watch

Why it is hard to predict sudden environmental crises

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'Wolfman' returns

Explorer Jim McNeill tracks down Arctic wolves

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Venomous mammal caught on camera

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

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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.

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Tech fair offers greener vision

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

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Canadians claim South Pole record

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

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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.

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Feilden's blog

Ground-breaking new technique in stem cell science

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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.

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Holes give edge to new armour

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

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Baby Jupiter's huge weight gain

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

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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.

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 Science > Chaos and Fractals

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Science > Chaos and Fractals

Chaos and Fractals:

Bitshifters

Images generated by different commercial applications. Includes FAQs and tutorial.

http://bitshifters.com/fractal.html

Graand

Free Classified Ads Portal

www.graand.com

Chaos and Fractals

Article on the mathematical ideas lurking in the background of Tom Stoppard's play Arcadia. Includes examples, illustrations and references.

http://math.bu.edu/DYSYS/arcadia/

3D Fractals Bicomplex Dynamics

Resource on the bicomplex generalization of the Mandelbrot set. Includes scientific publications, illustrations, news and downloads.

http://www.3dfractals.com/

3D Mountains

Shows how to create fractal mountains, three-dimensional Mandelbrot and Julia sets, convex, stellated and polyhedra. Includes pictures, plots and mathematical formulations.

http://www.ibiblio.org/e-notes/3Dapp/Mount.htm

Dan Freeland

Explains the basics. Includes gallery and free software for exploring different sets and singularities.

http://homepage.ntlworld.com/daniel.freeland/

The Dynamical Systems and Technology Project

Educational resource from the Boston University. Includes mathematical framework and formulation, animated illustrations and calculation spreadsheets.

http://math.bu.edu/DYSYS/dysys.html

The Dynamics of Deterministic Chaos in Numerical Weather Prediction Models

Explains a general systems theory for chaos, quantum mechanics and gravity as applied to weather patterns. Includes illustrations, scientific publications and references.

http://www.geocities.com/CapeCanaveral/Lab/5833/

Efg's Computer Lab: Fractals and Chaos

Software and information resource on the Mandelbrot set, geometrical explosion sets, and attractors. Includes diagrams and mathematical backgrounds.

http://www.efg2.com/Lab/FractalsAndChaos

Fractal Brownian Archipelago

Shows how brownian motion can model the shape of coastlines. Includes interactive demonstration and a collection of island set.

http://swiss.csail.mit.edu/~rauch/islands/

Fractal Dimensions

Easy to comprehend mathematical approach to understanding the significance of the applied study of fractals and attractors. Includes didactic examples and illustrations.

http://math.rice.edu/~lanius/fractals/dim.html

Fractal Explorer

Tutorial for beginners covering the Mandelbrot and Julia sets, as well as four-dimensional sets. Includes interactive generators and gallery.

http://www.geocities.com/fabioc/

Fractal Foundation

Foundation with purpose of educating people about the mathematical theory and the interconnectedness of complex systems. Includes mission statement, mathematical framework, gallery and contact.

http://www.fractalfoundation.org

Fractal Map

Interactive online Mandelbrot and Julia generator.

http://frac.samurajdata.se/

Fractals and Multi Layer Coloring Algorithms

Scientific paper of the University of the Basque Country, Spain, addressing the mathematical aspects of multi layer colorization. Includes examples and references.

http://www.mi.sanu.ac.yu/vismath/javier1

Fractals Unleashed

Tutorial covering the different types of sets and attractors. Includes mathematical formulations, applets, programs, gallery and an art contest. [English, Russian, Ukrainian]

http://library.thinkquest.org/26242/

Homepage of Kristian Gustavsson

Weblog about the mathematical background of different sets and attractors in the complex plane. Includes downloadable generator and gallery.

http://www.dd.chalmers.se/~f99krgu/main/index.html

IFS Attractors

Index and definition of different attractors. Includes images, plots and glossary.

http://www.meden.demon.co.uk/Fractals/fractals.html

Images From Chaos

Gallery of chaotic and complex systems and attractors from the University of Zaragoza, Spain.

http://www.cps.unizar.es/~jlsubias/

Introduction: Chaos, Fractals And Attractors

Introduction to chaos, attractors and dynamic systems theory. Includes mathematical formulation, images and references.

http://www.ecometry.biz/

Introduction to Lacunarity

Analysis of the degree of gappiness of different sets. Includes mathematical aspects, results and publications.

http://www-swiss.ai.mit.edu/~rauch/lacunarity/lacunarity.html

Iterations and the Mandelbrot Set

Discusses how differently the iterations behave depending on which portions the coefficients are plucked from. Includes basics, concept, formulations and references.

http://www.cut-the-knot.com/blue/Mandel.html

Julia and Mandelbrot Set Explorer

Online navigator for various sets and attractors from the Clark University. Includes background and a short course on complex numbers.

http://aleph0.clarku.edu/~djoyce/julia/explorer.html

Kleinian Groups Pictures

Discusses the mathematical theory of Kleinian groups. Includes illustrations, examples, formalism and program source code.

http://klein.math.okstate.edu/kleinian/

The Mandelbrot and Julia Sets Anatomy

Scientific publication about the anatomy of different sets and attractors and chaotic dynamics. Includes animated samples, articles and mathematical formulations.

http://www.ibiblio.org/e-notes/MSet/Contents.htm

Mathematical Figures Using Mathematica

Collection of sets and attractors. Includes Mathematica source code, mathematical formulations and illustrations.

http://mathforum.org/advanced/robertd/

Mathematics: Stilldreamer

Explains the basics of Sierpinski systems and other sets. Includes interactive example programs with source code.

http://www.stilldreamer.com/mathematics/

The Modular Group and Fractals

Explains the basics of fractals, Riemann Zeta, modular group gamma, Farey fractions and Minkowski question mark. Includes publications.

http://www.linas.org/math/sl2z.html

Newton Basins

Article about the basins of attraction for the Newton's method for finding roots of equations and their resulting representation in the complex plane. Includes mathematical framework and examples.

http://aleph0.clarku.edu/~djoyce/newton/newton.html

Project Fractales

Research group at the INRIA national research center, France. Includes research details, publications and software.

http://complex.inria.fr/

Quantum Jumps, EEQT and the Five Platonic Fractals

Explains how quantum jumps generate new family of fractals on spherical canvas. Includes graphics in several formats, mathematical framework and bibliography.

http://quantumfuture.net/quantum_future/papers/qfract/

The Spanky Fractal Database

Collection of sets, attractors and related material for free distribution. Includes large categorized index of software, information and links.

http://spanky.triumf.ca/

Technocosm

Focuses on the visualization of three dimensional attractors. Includes formula derivations and image galleries.

http://technocosm.org/chaos/

Tetrabrot Fractal Videos

Collection of videos made by rotation, zooming, and cycling through the four-dimensional Tetrabrot sets. Includes basics, mathematical formulations and descriptions.

http://www.javaspider.com/jfract

Wikipedia: Fractals

Free encyclopedia article covering historical aspects and mathematical formulations. Includes two and three dimensional illustration sets.

http://en.wikipedia.org/wiki/Fractals

The 3x+1 Fractal

Paper that generalizes the Collatz problem to complex numbers. Includes insights, results and references. (June 1, 2004)

http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6TYG-4C47CDM-5&_coverDate=06%2F30%2F2004&_alid=262438467&_rdoc=1&_fmt=&_orig=search&_qd=1&_cdi=5618&_sort=d&view=c&_acct=C000043379&_version=1&_urlVersion=0&_userid=791130&md5=92c370a59ff53edd249c27a91b0ed72e

A Fractal Christmas

Short Article from Inside Science News Service describing the basics. Includes illustrations and links. (December 1, 2003)

http://www.aip.org/isns/reports/2003/086.html