Sequence Fractals Introduction #17


Function sequence f_i(z)+c, with ten cycle sequence

Now we have a sequence of functions rather than a sequence of numbers. This is an easy generalization. Many of the previous post could have been described as a function sequence with f_i(z) = z^2 + s_i

In this case the sequence is a repeating ten-cycle of affine transformations (z \leftarrow a * z + b). The ten functions are pulled randomly, with replacement, from a set of three.

Since everything is linear here, no squares, no trig functions, the straight lines are expected.

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