Coolmath.com (http://www.coolmath.com/)
- features puzzles, fractals, games, lessons, calculators, and
more.
Plus (http://plus.maths.org/)
- articles explaining the diverse applications of mathematics
within physics, chemistry, biology, engineering, and economics,
plus stories about new developments in mathematics and interviews
with mathematicians.
Fractal
Instances of the Traveling Salesman Problem (http://www.ing.unlp.edu.ar/cetad/mos/FRACTAL_TSP_home.html)
- contains resources on the evolving field of the generation
of instances of combinatorial optimization problems with known
optimal solution.
Exploring
Fractals (http://www.math.umass.edu/~mconnors/fractal/fractal.html)
- A complete fractal project
The
Fractal Microscope (http://www.shodor.org/master/fractal/software/mandy/index.html)
- Zoom in on the visually fascinating world of Mandelbrot and
Julia sets, explore the algorithms used to create them, and
learn about the mathematics behind the cool graphics. This is
a Java version of the Fractal Microscope. You can also find
a Java version of The
Snowflake Fractal Generator -- Create your own
fractals with this tool that allows you to specify a "drawing
rule" that the computer uses to make curves like the famous
Koch Snowflake. The same site offers the Sierpinski
Gasket -- A tool for modeling the "Chaos Game', a simple,
apparently random process with a not-so-random result. Allows
you to change the rules and make your own fractals.
SineArt
(http://www.sineart.com) - These pages
and the images that will stimulate your retinas are dedicated
to this web designer's program called SineArt - Trig based chaos
and fractals.
Galleries:
Fractal
Gallery at Coolmath.com (http://www.coolmath.com/gallery.htm
and at http://www.Coolmath4kids.com)
A collection of fractal artwork including some really cool JAVA
art where the fractals reflect and ripple on a lake of water.
(highly recommended)
Earl's
Fractal Art Gallery (http://computerart.org/fractal.html)
- A virtual Art Gallery featuring the fractal art work of Earl
Hinrichs.
All of these images were created, pixel by pixel, by a computer
program Earl wrote.
Online
Generators:
Mandelbrot
and Julia Set Explorer (http://aleph0.clarku.edu/~djoyce/julia/explorer.html)
- This colorful generator lets you simultaneously zoom-in on
the Mandelbrot set and view the accompanying Julia set. (highly
recommended)
Mandelbrot/Julia
Set Browser (http://nis-www.lanl.gov/~mgh/mand.shtml)
- This generator allows you to do zoom-ins on the Mandelbrot
set and change your color palette. (highly recommended)
The
Fractal Microscope (http://storm.shodor.org/cgi-bin/mandy/cnew.pl) -
This generator allows you to do zoom-ins on existing fractals. (highly
recommended)
Test
Fractal Generator (http://www.pangloss.com/seidel/Frac/)
- This generator allows you to enter in specific values or do
zoom-ins on existing fractals.
Fast
Fractals by Robo (http://www.student.nada.kth.se/~d94-rol/fractals/javaapps.html)
- A JAVA applet for viewing Mandelbrots and Julia sets.
Instructional:
Cynthia
Lanius' Fractal Lesson (http://math.rice.edu/~lanius/frac/)
- This is the best site around for explaining geometric fractals
like the Kock Snowflake. (highly recommended)
Fabio
Cesari's Fractal
Explorer (http://www.geocities.com/CapeCanaveral/2854/)
- This is the best site around for explaining the mathematics
behind the Mandelbrot set. (Students will need to have had complex
numbers.) (highly recommended)
Fract-Ed
(http://www.ealnet.com/ealsoft/fracted.htm)
- An introductory fractal tutorial intended for high school
or college entry-level students. It is an informal discussion
of some of the elements of fractal geometry, and includes interactive
programs which demonstrate the techniques of fractal generation.
(highly recommended)
Instructional
Resources: Fractals (http://www.shodor.org/master/fractal/curriculum/) -
A set of lessons including a Mandelbrot and Julia set generator,
a Koch Snowflake generator and a Sierpinski Gasket generator. (highly
recommended)
Frequently
Asked Questions: Fractals (http://www.faqs.org/faqs/fractal-faq/)
- Questions and answers from a fractal newsgroup.
