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swapping surfaces: getting surfaces by swapping a curve along an other curve (D.TEBER)

Projection of simple 1D curves on to a plane curve

-4<x<4  , x(step)=0.2

-4<y<4  , y(step)=0.2

Fx(x,y)= x

Fy(x,y)= y

Fz(x,y)= c*e^(-(x-a)^2-(y-b)^2)

a=-2, b=1, c=3

a=0, b=-2, c=2

a=2, b=-3, c=2

a=0, b=-2, c=2

United Planes

-4<x<4  , x(step)=0.2

-4<y<4  , y(step)=0.2

Fx(x,y)= x

Fy(x,y)= y

Fz(x,y)= 1*e^(-(x-2   )^2 - (y-3    )^2) +

2*e^(-(x-2    )^2 - (y-(-3))^2) +

2*e^(-(x-0    )^2 - (y-(-3))^2) +

3*e^(-(x-(-2))^2 - (y-1    )^2)

River and Valey
 Bordering cubic curves with plane curves,   Or   Filling plane curve surfaces with cubes. (D.TEBER)

 Valley    -5

Two Torus

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