Identify the Julia set

test-prep

#1

Here’s a picture of the Mandelbrot set with several points identified:

M

Match those points with the following Julia sets:

J1 J2 J3 J5


#2

The Julia set that looks like a single, connected blob corresponds to the centre of the Mandelbrot set.
The Julia set that splits into two pieces comes from the period-2 buld, on the far left of the Mandelbrot set.
The Mandelbrot period-three bulb, the one on the very tippy top, gives the Julia set that splits into three pieces.
The period-five bulb, on the top left part of the Mandelbrot set, corresponds to the Julia set that splts into five fingers.