Title: Lucky Post by: Alef on September 16, 2013, 06:29:22 PM Lucky script by EA seems to be monster. Kind of a way to hybridise all of kaliset / ducks/ ducky / talis / whatever pattern generating formulas.
Quote Lucky, a Ducky special I. Lucky as such Lucky doesn't use new formulas, it uses existing codes, with some small variations in the way the iterations are carried out. They often give interesting symmetrical patterns. Although there are many self-similarities, I don't think all these results are fractals in a math sense, some are, others not or are doubtful. First of all some definition. When I speak of a 'formula', I mean a maths formula, without conditional requirements. If conditions are present, I speak of a 'script' or 'code'. So UF consists of mapping, fractal and coloring scripts. The math formula only has standard functions and parameters. Lucky is a subset of Ducky (the latter has been baptized in such way by Elias Rain). The well known mushroom/parachute pattern of Ducky is not its main characteristic. The real one is the interrupted orbit. Every time the argument of the points of an orbit exceeds the limit of 90 degrees (p/2 radians) it will be put back by the abs function. In graphics it means that it will be mirrored in relation to the vertical axis (where Im(z) = 0), so that it will be thrown back into the first quadrant. Thus it becomes clear that the 'natural' spiral structure will be disturbed and that the resulting shape of orbit points soon will be very difficult. The specialty of a Lucky is that some iterations will follow a different pathway. We restrict ourselves to two possible pathways, each with different parameters or even with different basic functions. The Lucky script has been split into two parts: a first and a second code. In the default mode ('series'), 'first-second separated' unselected, every iteration will follow either path 1 or path 2, depending on parameters 'main condition'. The following examples (with the option 'variant' off) may clarify how it works: .... Not a shure if I should share authors message from a Ultra Fractal mailing list. But this one looks as ultimate pattern formula. Title: Re: Lucky Post by: cKleinhuis on September 16, 2013, 07:29:12 PM can you provide an example using that formula, even nicer would be to have a uf5 param set :)
Title: Re: Lucky Post by: Nahee_Enterprises on September 17, 2013, 06:45:25 AM can you provide an example using that formula, even nicer would be to have a uf5 param set :) Ed Algra posted six different .UPRs on the UF mailing list on Sunday, Sept. 15, 2013 at around 15:54:12. He also has "placed the pictures of these 6 examples on Facebook, in the Ultra Fractal group." Title: Re: Lucky Post by: Alef on September 17, 2013, 05:46:53 PM Ultra Fractal Facebook group is closed group :tongue1:
Just one image as PC is doing rendering. Realy its just hybridisation (alternations, all kinds of means) of whole bunch of kalisets. 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