Zoooomg, grab and run (as I already did ) Thanks Tatyana for this cool explanation - works really well and you can make tons of patterns here is some of mine Yarn >> [link] At Rooftops >> [link] Citrus pie >> [link]
Great instructions! Simple, yet very diverse. As someone else pointed out, I love how these are general guidelines and not steps to replicate a fractal type. I started working on some fractals already.
I do have one question. When you did the second example, the half-hexagon, what criteria did you use to determine how many shapes/transforms were going to be included? For example, how come you divided the half-hexagon into four trapezoids and not three triangles?
Anyhow, I did something similar for another image that I still haven't rendered, except it was a half-octagon. I tried making the shape with the triangles' sides on the editor but the flames overlapped, so I figured out that the triangles must be space different and not even touching each other.
Well, this tutorial is about tilings composed of scaled down copies of themselves, so pretty much a square is tiled with squares, a triangle is tiled with triangles and a half hex is tiled with half hexes.
Of course you can try making up shapes by yourself, but seems like its way easier to use already existant shapes.
For a half octagon, you would need to tile up a half octagon with smaller half octagons without empty spaces and overlaps (which may not be possible... or may be ), and then add one transform for each shape, with corresponding rotation, scale and shift.
To tile something with different shapes, you would need to use some quite nasty xaos, quite beyond the scope of this tutorial.
This is the best tutorial I've seen for Apophysis. It explains in depth on the mathmatical process concerning how to make fractals. While many make tutorials giving you only params and a simple explanation on what these params do, this tutorial actually tells you exactly the math that is involved on how fractals work in Apophysis.