Each of the explorations below is designed to answer the associated question. Using a combination of interactive graphics and animations, you will be led to explore a variety of cases associated with the question in order to help you to formulate your own answer to the question. Click on the tour button to begin the exploration.

		Exploration #1: What is the Mandelbrot set?
		Exploration #2: What is a filled Julia set?
		Exploration #3: What is the relation between the Mandelbrot set and the filled Julia sets?
		Exploration #4: What happens to Julia sets as c leaves the Mandelbrot set?
		Exploration #5: What happens to Julia sets as c enters one of the primary bulbs in the Mandelbrot set?
		Exploration #6: What is the period of the "primary bulbs" in the Mandelbrot set? And how can you read this period from the geometry of the filled Julia sets and the primary bulb?
		Exploration #7: What is the rotation number associated to the "primary bulbs" in the Mandelbrot set?
		Exploration #8: How do the rotation numbers change as you move around the boundary of the main cardioid?
		Exploration #9: How do you find the rotation number of the largest bulb between two given bulbs?

We would welcome your feedback on these activities.

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