What is it ? :

This formula divide the plan into little squares and draw a Julia set in each one. The seed of the Julia is the center of the corresponding square. This allow you to see the "family" of the Julia sets (or at least a little part of it). You can use with it any coloring you would use on a standard Julia set.
I have written a coloring and a transformation designed to the "family" formulas.
There are two related formulas : Mandyfamily and PC Family. The Pinskyfamily formula you can find in kpk.ufm is a modification of Julifamily by Klaus-Peter Kubik that use the Sierpinsky formula instead of the Julia one. The coloring and the transform should work with it.

The Parameters :

Power : The power of the Julia sets (their symetry).

Center : Allow to move each julia set in its square. If it goes outside it, it will be cut.

Magnification : Determine the size of each Julia in its square.

Rotation : Determine the rotation of each Julia in its square.

Tiling displacement : Allow you to move the whole tiling. As the center of the square will change, the Julia sets will change, too.

Examples :

julifam
julifa
 

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What is it ? :

It works like Juliyfamily, but the Julia sets have been replaced by M-sets. The "What is varying ?" parameter allow you to choose if the center of a square determine the "start" parameter or the power of its M-set. Else the parameters are exactly the same as in Julifamily.

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What is it ? :

This formula works like Juliyfamily, but the Julia algorithm is replaced by the "Powered c" formula. See Julifamily for explanations.

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What is it ? :

This transformation is designed to be used with a "family" formula (see Juliyfamily).

The first thing you have to do is copying the values you entered for the formula parameters "Tiling displacement", "Tiling rotation" and "Size of the tiles" and paste them in the corresponding fields of the transform. Now the tiling of the transform match the one of the formula. This transform allow you to assign some tiles solid color. It's useful if you don't want the tiles have all the same look.

The Parameters :

Mode :

- Selected tiles solid : The tiles you selected with the parameters "Selected tile 1,2,3,4" are assigned solid color. To select a tile, choose the "Select tile 1" parameter, take the eyedropper and click on the tile you want to select. Then do the same with "Select tile 2,3,4".

- Unselected tiles solid : All the tiles you didn't selected become solid.

- Gird and Checkerboard : Two patterns. The tiles that weren't solid with the "in" mode will be so with the "out" mode and vice versae.

- Above\Below\Left from\Right from Tile 1 : All the tiles above\below\left from\right from the selected tile 1 are visible. All the other are set to solid. This can give interesting results when "Tiling rotation" is not 0.

Examples :

Look at those for Juliyfamily.

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