I have just uploaded Simple Switch Formula to jlb.ufm. By default it calls my SwitchCombo plugin in the new library, jlb.ulb. This allows generating new combinations of formulas; all of them allow switching from Mandelbrot-type mode to Julia-type mode or vice versa with the F7 key or pressing the Switch Mode icon on the toobar. Both divergent and convergent formulas, or some of each, can be used. I wrote these in order to generate new shapes. All the plug-ins use a new class, SFormula, defined in jlb.ulb, with information passed in a State object.

This is a too-brief introduction. Experimentation is required.

The basic structure of SwitchCombo is to do some number of iterations of the initial formula, then repeat iterating the main formula until completion (divergence, convergence, or both) or the iteration limit is reached.

All the examples here are single-layer images with the standard gradient. They are illustrative, not final beautiful images.

The first example does 3 iterations of standard Mandelbrot (a divergent formula) followed by many iterations of Poly Newton (a convergent formula, usually). It’s a Julia-type fractal and mainly convergent. Try using the Explore function to vary the parameters, including how many of the initial iteration. Experiment with the coloring.

```
C-M-P'-J3 {
::LN/Sghn2Va5yuNKMUY49RKvDI2MrCBDhQSH5NtSziqpjqUmVzmIH4A4pGbkxpp82P2GSSzk0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}
```