Singular Pisces Function
This function has an interesting level set made up by two fish ("pisces"),
but also contains five singular points.
f(x,y) = fish1 * fish2
The function is composed of these two parts:
fish1 = (x*x*x - (y-alpha)*(y-alpha) - x +beta)*
( (x+xeye)*(x+xeye) + (y-alpha-yeye)*(y-alpha-yeye) - radeye*radeye);
fish2= (-x*x*x - (y+alpha)*(y+alpha) + x +beta)*
( (-x+xeye)*(-x+xeye) + (y+alpha-yeye)*(y+alpha-yeye) - radeye*radeye);
where x and y are the domain variables,
- xeye and yeye set the position of the eyes
- eyerad controls the radius of the fish eyes
- alpha and beta controls the scale (pun intended) of the fish body
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![[Pisces]](../../pix/pi.gif)
The Pisces Home Page
Comments to: pisces@geom.umn.edu
Last modified: Sun Nov 26 16:29:03 1995
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