Spiral Fractals

by Simon Whitechapel

To create these fractals, begin with the origin of the spiral, (x_n1, y_n1), then move a random distance towards the next point, (x_n1+pic, y_n1+pic), where pic is the point increment. In the two fractals below, pic = 1. In the first of them, when the final point is reached, pic is negated and (x_n, y_n) returns through the points to the origin, where pic is negated again; in the second, when the final point of the spiral is reached, (x_n, y_n) is reset to the origin.

p=20; thi=0·35; pic = +1, -1, +1...; d = (⅓, ⅔)

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p=20; thi=0·35; pic = +1; d = (⅓, ⅔)

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p=20; thi=0·35..0·73; d = (⅓, ⅔, 1, 1⅓)

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p=20; thi=0·35; d = (⅓, ⅔)

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© 2008 Simon Whitechapel

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