| On the left is the Mandelbrot set with a point c indicated
by the cross-hairs. |
| On the right is the sequence generated by this c. |
| The window on the right has real and imaginary parts between -2 and 2,
so is not to the same scale as the Mandelbrot set picture. |
| Remember, the left and right pictures belong to different planes. |
| The Mandelbrot set is a collection of c-values, while on the right is a
sequence of z-values. |
| To emphasize this distinction, some authors say the
Mandelbrot set lies in the Parameter Plane and the sequences
(and also all the Julia sets) lie in the Dynamical Plane. |
| Moving c down slightly from the 3-cycle disc, c enters the
big cardioid so the corresponding
sequence converges to a fixed point. However, this c is near the point of
attachment of a 3-cycle component, and the sequence converges by spiraling
around a 3-armed pattern. |
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