3D Fractals

Well, actually, they are 2D fractals as in my previous post, but with progress along the list of turning instructions translated as depth instead of color (red to blue).
So each turn is a duplicated stick extruded from the last one and moved very slightly down. So you end up seeing clusters of sticks casting shadows on the ones below it. Looks cool, nay?

These are 12 and 14 iteration fratals and they take about 2 and 6 minutes to build, respectively.
I'm trying to think of how to do true 3D fractals next. Here's the rub: the 2D turning instructions do code for 4 different angles but in only one dimension of rotation, so for 3D I'd need to have two sets of complementary (but not the same 'cause that would be boring) instructions for the two dimensions. Y'know?

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