Show that the Mandelbrot set has a reflection symmetry. (Hint: Compare the Mandelbrot

Chapter 12, Problem 65

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QUESTION:

Show that the Mandelbrot set has a reflection symmetry. (Hint: Compare the Mandelbrot sequences with seeds a + bi and a - bi.)

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QUESTION:

Show that the Mandelbrot set has a reflection symmetry. (Hint: Compare the Mandelbrot sequences with seeds a + bi and a - bi.)

ANSWER:

Step 1 of 3

To show that the Mandelbrot set has a reflection symmetry.

Let us consider two Mandelbrot sequence with seeds and .

Now,

It shows that

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