The Superformula Oscilliscope

The Superformula Oscilliscope
Based on the superformula developed by the Belgian biologist Johan Gielis http://www.geniaal.be/.

The Superformula describes a huge amount of organic shapes with only a small set of parameters.

Greetings.

Jan

small set of parameters, huh?

m=getspec(0.1,1,0);

m=abs(m*10);

a=getosc(0.1,0.1,1);

b=getosc(0.1,0.1,2);

n1=getspec(0.1,0.1,0);

n2=getspec(0.1,0.1,1);

n3=getspec(0.1,0.1,2);

I never heard of that superformula before. And I don't really see why a biologist should invent such a formula 🙂
But then again, there are other formulae which don't seem to be connected to their normal use, too 🙂
About the shapes... I suggest you use line mode instead of dot mode in that superscope 🙂 this makes the structures of that formula more clearly visible.
btw: I think your interest in that formula is somehow connected to your forum screen name, not? 🙂

good idea

Originally posted by TomyLobo
small set of parameters, huh?

Yes, I thinking these are really only few parameters.

I never heard of that superformula before. And I don't really see why a biologist should invent such a formula 🙂

Johan Gielis tried to describe a huge amount of natural (organic) shapes with one formula. Why? I don't know.

But then again, there are other formulae which don't seem to be connected to their normal use, too 🙂

Yes, the superformula is:

r=pow(pow(abs(cos(s*m/4)/a),n2)+pow(abs(sin(s*m/4)/b),n3),-1/n1);

Where s is the angle and r the radius (polar coordinates).

About the shapes... I suggest you use line mode instead of dot mode in that superscope 🙂 this makes the structures of that formula more clearly visible.

Good idea. Preset is updated.

btw: I think your interest in that formula is somehow connected to your forum screen name, not? 🙂

Yes.
Greetings.
Jan

The formula is nice but you should really change the expressions for the parameters so they produce more interesting shapes all the time.

Sort of like this.

Update

Originally posted by UnConeD
Sort of like this.

Nice thing.

But I like "Wormhole"-effects.

I've updated my preset. It is now possible to change the complexness and amplitude with the mouse (clicking left button into the avs-screen).

Greetings.

Jan

The superformula is a polar function r(theta). Why do you draw for s = 0...100*PI when 0..2*PI would suffice?

minor update

Originally posted by UnConeD
The superformula is a polar function r(theta). Why do you draw for s = 0...100*PI when 0..2*PI would suffice?

Yes, the superformula is a polar function. But it is not always symmetrically for n*(0..2*PI).
Another reason for the enhanced range is that the angle is divided into steps of 0.1 (s=s+0.1). 0.1 never fits PI, and if you set s back to zero at s>2*PI, you will have always the same angles (0, 0.1, 0.2, 0.3, ..., 3.0, 3.1). If you do not set it back, then will you fill the gaps (3.2=0.058, 3.3=0.158, 7=0.717).

I've made some minor fixes in the new version.

Greetings.

Jan