END OF AN ERA, FRACTALFORUMS.COM IS CONTINUED ON FRACTALFORUMS.ORG

A 3D variant would be from just adding another variable...

I wonder about a mixed variation:

(a*x+b*y[+c*z]+d)/(e*x+f*y[+g*z])+h)

Or even further extended... You could do that from a polynomial of any degree, basically...

<Quoted Image Removed>

That would be a mix of a Möbius transform and a general 3-cone section.

You could extend that even further by allowing permutations....

x*x=x²     y*x=x*y     z*x=x*z
x*y         y*y=y²       z*y=y*z
x*z         y*z            z*z=z²

So... a*x²,b*y²,c*z²,d*2xy,e*2xz,f*2yz