Shodor Education Foundation
Shodor Interactivate: Sierpinski's Carpet
Step through the generation of Sierpinski's Carpet, a fractal made from subdividing a square into nine smaller squares and cutting the middle one out. Explore number patterns in sequences and geometric properties of fractals.
Shodor Education Foundation
Shodor Interactivate: Julia Sets
Enter a complex value for "c" in the form of an ordered pair of real numbers. The applet draws the fractal Julia set for that seed value.
Shodor Education Foundation
Shodor Interactivate: Fractal Dimensions
Determine the fractal dimensions of several line-deformation fractals. Input the scale factor and number of similar copies, and the dimension will be calculated.
Shodor Education Foundation
Shodor Interactivate: The Mandelbrot Set
Explore fractals by investigating the relationships between the Mandelbrot set and Julia sets.
Shodor Education Foundation
Shodor Interactivate: Flake Maker
Create your own fractals by drawing a "line deformation rule" and stepping through the generation of a geometric fractal.
Shodor Education Foundation
Shodor Interactivate: Fractured Pictures
Generate complicated geometric fractals by specifying starting polygon and scale factor.
Shodor Education Foundation
Shodor Interactivate: Koch's Snowflake
Step through the generation of the Koch Snowflake, a fractal made from deforming the sides of a triangle, and explore number patterns in sequences and geometric properties of fractals.
Mathigon
Mathigon: Alice in Fractal Land
When Alice falls down the rabbit hole, she discovers a wonderful world of mathematics: Pascal's triangle, sequences of rabbit generations, and beautiful, never-ending fractals.
Boston University
Boston University: Chaos, Fractals and Arcadia
This is an interesting site for information on chaos and fractals. Includes links to interactive activities to learn more.
Boston University
Bu: Fractal Geometry of the Mandelbrot Set
This site progresses in iterations through Mandelbrot and Julia sets to explain fractals and the mathematics behind them.
Wolfram Research
Wolfram Math World: Fractals
This page briefly illustrates and discusses fractals, which are closely linked to the concept of iteration (repitition.) Site links to well known pictured fractals.
Shodor Education Foundation
Shodor Interactivate: Lesson: Fractals
This site provides some links to activities and lesson plans dealing with fractals and chaos.
Other
Eal: Fract Ed
A great resource for beginners. The site begins with a definition of iteration of functions, and proceeds from there to discuss fractal dimension.
Other
Gobierno De Navarra: Algunos Fractales Lineales
See 21 beautiful fractals and watch them change as n increases.
National Council of Teachers of Mathematics
Nctm: Figure This: Fractals
Can you figure out what pattern comes next? Explore patterns and perimeter in this math challenge on fractals. A one page activity from the NCTM Math Challenges for Families collection.
Interactive Mathematics
Interactive Mathematics: Fractals
A simple explanation of fractals is presented, along with several diagrams including the Mandelbrot set and Julia set.
Interactive Mathematics
Interactive Mathematics: Complex Numbers
The world of complex numbers is explored through mini lessons, interactive examples, applications and demonstrations. Topics covered include definitions, basic operations, graphing, different forms of complex numbers, products,...
National Council of Teachers of Mathematics
The Math Forum: Fractals
This site contains many links to Fractal information where students go to the given links to discover interesting facts about fractals and many mathematical equations that represent a fractal.
Other
Academic Info: Mathematics Gateway
This site provides a comprehensive index and general directory to math sites that will help students in the study of circles.
Curated OER
Clip Art by Phillip Martin: Fractals
A clipart illustration by Phillip Martin titled "Fractals."