Hi Dr.T and welcome to the fantastic world of Ultra Fractal!
At it's simplest your statement above is correct, yes. A fractal image is a marriage of the formula and the colouring. Both are mathematical algorithms that affect the appearance of the fractal and both are equally important in my view. Just different.
So yes, the formula is the basic structure on which to build your image. The colouring can produce a range of different shapes and textures. Shapes can be further manipulated on the Outside tab to move around the image plane in various ways but will almost always be tied in to the underlying structure in some way.
I usually start my images with a formula and a simple colouring with which I am familiar (I often use one of the Orbit Trap style of colourings). This enables me to see the formula structure a bit more clearly and work out what my formula parameter changes are doing. After tweaking the formula params for a bit and finding a pleasing structure I then move to the Outside tab where I can do a little decorative work. Browsing the colourings is a good way to find some interesting shapes and textures that can be applied. The gradient also plays a part in the overall look too, of course. In time you can learn how to use a number of layers to increase the detail and interest in a piece if you so wish. The possibilities are literally infinite!
Here is an example of a 4 layer fractal. If you look at the formula it is exactly the same on all 4 layers so the underlying structure is common to all. The colouring, however, is different on each layer, giving some very different effects. In addition the Orbs and Texture layers have some transparent areas in the gradient. Together the four layers make an nice image. Feel free to save these parameters and to have a nose around and tweak them however you wish. Change the colourings if you feel like seeing what else can be done or just tweak the various parameters to see what happens. Playing with stuff like this can really help fix some of the concepts in your mind!
Copy and paste all of the following into a fractal window:
Fractal1 {
; Free for anyone to tweak.
::5AEjuhn2tnZQvtOuRA47BI/HM8pWsNJizIZJvF6QePg9QRL2Cs79FMS02sRWSPS5kX2f9dIl
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ToHr4fIU684VKhup6UnspOHiiMGoQJKld681f9gSq7k1iHeuue1/gron/rM4Jg+fELb993Zt
idVL4tWbs+XFfv7kSseVTLvQ29Rec8qjC1exxmSR+Buqsy4EksuDNl5HPV1Jb5at11V8adLX
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}
This is what you should see:
I hope this helps... I certainly had fun just concocting this little experiment for you.
Hi Dr.T and welcome to the fantastic world of Ultra Fractal!
At it's simplest your statement above is correct, yes. A fractal image is a marriage of the formula and the colouring. Both are mathematical algorithms that affect the appearance of the fractal and both are equally important in my view. Just different.
So yes, the formula is the basic structure on which to build your image. The colouring can produce a range of different shapes and textures. Shapes can be further manipulated on the Outside tab to move around the image plane in various ways but will almost always be tied in to the underlying structure in some way.
I usually start my images with a formula and a simple colouring with which I am familiar (I often use one of the Orbit Trap style of colourings). This enables me to see the formula structure a bit more clearly and work out what my formula parameter changes are doing. After tweaking the formula params for a bit and finding a pleasing structure I then move to the Outside tab where I can do a little decorative work. Browsing the colourings is a good way to find some interesting shapes and textures that can be applied. The gradient also plays a part in the overall look too, of course. In time you can learn how to use a number of layers to increase the detail and interest in a piece if you so wish. The possibilities are literally infinite!
Here is an example of a 4 layer fractal. If you look at the formula it is exactly the same on all 4 layers so the underlying structure is common to all. The colouring, however, is different on each layer, giving some very different effects. In addition the Orbs and Texture layers have some transparent areas in the gradient. Together the four layers make an nice image. Feel free to save these parameters and to have a nose around and tweak them however you wish. Change the colourings if you feel like seeing what else can be done or just tweak the various parameters to see what happens. Playing with stuff like this can really help fix some of the concepts in your mind!
Copy and paste all of the following into a fractal window:
````
Fractal1 {
; Free for anyone to tweak.
::5AEjuhn2tnZQvtOuRA47BI/HM8pWsNJizIZJvF6QePg9QRL2Cs79FMS02sRWSPS5kX2f9dIl
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idVL4tWbs+XFfv7kSseVTLvQ29Rec8qjC1exxmSR+Buqsy4EksuDNl5HPV1Jb5at11V8adLX
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lOPkBT53JRbyoc//HM9+fzQFZCL=
}
````
This is what you should see:
![5c1e86d98e5c9.jpg](serve/attachment&path=5c1e86d98e5c9.jpg)
I hope this helps... I certainly had fun just concocting this little experiment for you. :)
Chris Martin
Gallery: Velvet--Glove.deviantart.com
Currently using UF6.05 on Windows 11 Professional 64-bit