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this is a video about creating the mandelbrot set using geogebra the mandelbrot set is a famous fractal in the complex plane which starts off with a function f takes in a complex number and gives out a complex number and is given by the formula f of z equals z squared plus c to determine whether or not a point is in the mandelbrot set given your complex number c we begin to iterate this function you calculate f of c and you get out a new complex number then we use that as the input again plug it in get out a new complex number plug that input in get out a new complex number and continue the value of z is changing each time but the value of c is always that initial complex number we plugged in and then if in the limit f of z is bounded then the point is in the mandelbrot set on the other hand if in the limit f of z is equal to infinity then the point is not in the mandelbrot set so lets use geogebra to show which points are in this set first ill click off the algebra window and id l