09-24-2014, 09:19 AM

Hi Kaspar,

density balance only has a perfect solution when all holons have linear transformations or metamorphs with fairly even distribution in space. All kinds of Julia and Moebius fractals break this rule and will never render evenly, so the best we can do is find the nearest balance, and that depends not only on the constructor sizes but the Julia parameters. One way to understand it is that the Julia fractals iterate in many different paths, and some copies of the constructors get iterated very small before getting iterated large again, with different combinations of probabilities that don't match the sizes of the iterated copies. Some arrangements can render in reasonable time and others are just too slow to bother with no matter what. The first step is still to try setting density/scale combinations to suit the size of the constructors and experiment. In this case the hidden constructors are quite large, and with some experiments in the preview I think holon densities of 1, 3, 8 are an improvement. There is no way to make this fractal render evenly; it's just the way the Julia distorts space.

density balance only has a perfect solution when all holons have linear transformations or metamorphs with fairly even distribution in space. All kinds of Julia and Moebius fractals break this rule and will never render evenly, so the best we can do is find the nearest balance, and that depends not only on the constructor sizes but the Julia parameters. One way to understand it is that the Julia fractals iterate in many different paths, and some copies of the constructors get iterated very small before getting iterated large again, with different combinations of probabilities that don't match the sizes of the iterated copies. Some arrangements can render in reasonable time and others are just too slow to bother with no matter what. The first step is still to try setting density/scale combinations to suit the size of the constructors and experiment. In this case the hidden constructors are quite large, and with some experiments in the preview I think holon densities of 1, 3, 8 are an improvement. There is no way to make this fractal render evenly; it's just the way the Julia distorts space.