Learners explore the concept of Mandelbrot sets and Julia sets. In this Mandelbrot and Julia set lesson, students use a function integrator applet to investigate two-variable function iterations. Learners use Julia set and Mandelbrot set...

Students are introduced to the notion of a complex number and function iteration in order to motivate the discussion of Julia sets and the Mandelbrot set.

The class explores the concept of complex numbers on a website to generate their own Mandelbrot sets. They will practice performing operations with complex numbers and then to get a visual understanding, graph the absolute value of a...

Pupils explore the Mandelbrot Set. They are introduced to the concept of a complex number and function in order to motivate the discussion of Julia and Mandelbrot sets. Students investigate fractals and how they are built.

In this complex variable worksheet, students use functional iteration to find the fixed points of a function. This two-page worksheet explains the functional iteration, the Julia Set and the Mandelbrot set. Four problems are included.

Students create fractals. In this lesson, students use a computer program to explore different types of fractals.

Guiding students through two variable (complex) functions, this worksheet helps them perform complex arithmetic on 6 expressions. They iterate several functions with given starting points, determining whether each is a prisoner, escapee,...

It's time to boldly go where your class has not gone before! The introductory instructional activity in a five-part series takes young oceanographers aboard the NOAA Ship Okeanos to begin a study of ocean exploration. The instructional...

It's Valentine's Day in geometry class! Celebrate the day of love with a heart-themed activity in which young mathematicians create a cardioid on polar graph paper.

High schoolers examine complex numbers. In this Algebra II lesson, students investigate two programs that involve complex numbers: the MANDELER Program and SYNDIV program.

Students investigate measuring as it relates to the real world. In this geometry activity, students measure distances as they discuss fractals and how it relates to measuring. They measure both linear and non-linear distances.

In this lesson plan students will explore Julia sets and the Mandelbrot set. In the process they will learn about fractals and explore complex numbers and function iteration.

Explore fractals by investigating the relationships between the Mandelbrot set and Julia sets.

Students will choose a small region on the boundary of the Mandelbrot Set and create a graph of that smaller region.

This web site addresses counting and adding in fractal operations, as well as the role of the Fibonacci sequence in fractal geometry.

This site progresses in iterations through Mandelbrot and Julia sets to explain fractals and the mathematics behind them.

Students can use this interactive tool to explore a Mandelbrot set of fractals. As they increase magnification up to 250,000,000 times, they keep returning to an image similar to the one they started with.

Explore this course in fractals and dimensions including topics of The Sierpinski Gasket, The Mandelbrot Set, fractals in nature and technology, and fractals in 3-dimensional space.

Here's an example of "What a 2 Dimensional Julia Set will look like using modern computers with their sophisticated graphical displays." Gaston Julia published his theories long before computers and as the site's author remarks, "What a...

A simple explanation of fractals is presented, along with several diagrams including the Mandelbrot set and Julia set.

Although fractal images can be intriguingly complex, fractals are more than just pretty pictures. In this project, you'll explore the mathematical properties of the famous Mandelbrot and Julia sets. You'll learn about how these images...

An interesting junkyard of geometry findings where people are free to add their own findings and sift through others' interesting additions.

Enter two complex numbers (z and c) as ordered pairs of real numbers, then click a button to iterate step by step. The iterates are graphed in the x-y plane and printed out in table form.

This website, from the University of Edinburgh, provides a lengthy glossary of computer graphics terms written by Olin Lathrop, author of "The Way Computer Graphics Work". This site provides simple definitions of basic terms; no graphics...