I can very well derive the fractal affine transformations of the form:

[r*cos(theta), -r*sin(theta), r*sin(theta), r*cos(theta)]---------(1)

But I cannot make out how the affine transformations of the form:

[r*cos(theta), -s*cos(phi), r*sin(theta), s*cos(theta)] ----------(2)

have been worked out.

Most of the text that I read explained (1) and simply stated that (2) is another form of the affine transformations. What I need is how (2) has been worked out.

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