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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<x<5  , x(step)=0.25

   -5<y<5  , y(step)=0.25

 Fx(x,y)= x

 Fy(x,y)= y

 Fz(x,y)= -1/(x*x+1) + 2/(y*y+1) + 0.5*sin(5*r)/r

          r= (x*x+y*y)^0.5

 

 

 

 

  River

   -5<x<5  , x(step)=0.25

   -5<y<5  , y(step)=0.25

    1<z<2  , z(step)=0.1

 Fx(x,y,z)= x

 Fy(x,y,z)= y

 Fz(x,y,z)= defined* z

            r= (x*x+y*y)^0.5

 defined=(1/[z<=[-1/(x*x+1) + 2/(y*y+1)

                    +0.5*sin(5*r)/r] ] )

 

 Two Torus

Simple Function Curves | Simple Space Curves | Polar Curves | Plane Curves | Spherical Curves | Cylindrical Curves | Cubic Curves | Integral | Knots | Stages | Random | Stars | Astronomy | Art | Other Curves | Architectural-Industrial Forms | Swapping Surfaces | Logo Design

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Last modified: 15/09/2002.