Mark Townsend's Fractalia formulas in mt.ufm in essence is

xnew = quadratic in x and y
ynew = quadratic in x and y
znew = xnew + flip(ynew)

Since each quadratic has 6 free parameters, he made 6 versions, Fractalia-1 through Fractalia-6, so the user could switch among them to help find good parameters.

My version instead uses one or two steps of randomization of parameters to help find a good set. Each step either replaces each parameter with a random number in the range -scale to +scale, or adds to each parameter a random number in the range -scale to +scale.

An example fractal with parameters is in the Ultra-Fractal-Redux site on deviant art, at
https://www.deviantart.com/formerphysicist/art/Fractalia-Lake-932560456

Mark Townsend's Fractalia formulas in mt.ufm in essence is ```` xnew = quadratic in x and y ynew = quadratic in x and y znew = xnew + flip(ynew) ```` Since each quadratic has 6 free parameters, he made 6 versions, Fractalia-1 through Fractalia-6, so the user could switch among them to help find good parameters. My version instead uses one or two steps of randomization of parameters to help find a good set. Each step either replaces each parameter with a random number in the range -scale to +scale, or adds to each parameter a random number in the range -scale to +scale. An example fractal with parameters is in the Ultra-Fractal-Redux site on deviant art, at https://www.deviantart.com/formerphysicist/art/Fractalia-Lake-932560456
 
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