I’ve decided today that my next project will be to create a basket case fractal. I have a picture in my mind of a gift basket type thingy, but I can’t decide what to put into it.
I’ll be working with an iteration of z = z^2 + c with a view then to producing a gift basket of the Mandelbrot kind.
The initial z word will be zero, for no other reason than it seems to be a fitting place to start. Thus giving
zero = zero squared + c
as my first iteration of the basket case fractal.
c is the point of my indecision. It’s complex, which suggests that it is partly real and partly imaginary.
Real numbers can be represented on a one dimensional line called the real number line.
Since complex numbers have two parts, a real one and an imaginary one, we need a second dimension to graph them. We simply add a vertical dimension to the real number line for the imaginary part.
Ok. That makes perfect sense.
However, I’m not looking to put a complex number into my gift basket. I’m looking for a highly distinctive selection.
If it was up to me I’d go for a selection of biscuits and cheese, but I’m not doing this for myself. Let me reiterate – I want this to be a gift basket fractal, so submissions for c are now open.