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Cylinder:

  0<a<2*pi  , a(step)=pi/10

 -4<z<4      , z(step)=2

Fx(a,z)=R*cos(a) - 4

Fy(a,z)=R*sin(a)

Fz(a,z)=z

        R=4

 

For double funnel

R=z

 

For hexagon prizm

R=3 ve a(step)=pi/3

 0<a<2*pi  , a(step)=pi/10

-6<x<6      , x(step)=2

Fx(a,x)=x

Fy(a,x)=R*sin(a)

Fz(a,x)=R*cos(a)

        R=2

 0<a<2*pi , a(step)=pi/10

-6<y<6     , y(step)=2

Fx(a,y)=R*cos(a)

Fy(a,y)=y

Fz(a,y)=R*sin(a)

        R=2

 0<a<2*pi  , a(step)=pi/10

-6<z<6      , z(step)=2

Fx(a,z)=R*cos(a)

Fy(a,z)=R*sin(a)

Fz(a,z)=z

        R=2

 0<a<2*pi  , a(step)=pi/10

-4<z<4      , z(step)=2

 4<r<6      , r(step)=2

Fx(a,z,r)=r*cos(a)

Fy(a,z,r)=r*sin(a)

Fz(a,z,r)=z

        

 

 0<a<2*pi  , a(step)=pi/10

 0<z<6      , z(step)=1

 1<k<1.2   , r(step)=0.2

Fx(a,z,k)=R*cos(a)

Fy(a,z,k)=R*sin(a)

Fz(a,z,k)=z

           R=z*k

 

  0<t<60  ,  t(step)=0.1

  Cylindrical spiral 

Fx(t)=4*sin(t)

Fy(t)=4*cos(t)

Fz(t)=t/10

  Helix

Fx(t)=R*sin(t)+8

Fy(t)=R*cos(t)

Fz(t)=R

     R=t/10

  Spherical spiral

Fx(t)=3*sin(pi*(t/62.8))*sin(t) - 8

Fy(t)=3*sin(pi*(t/62.8))*cos(t)

Fz(t)=t/10

  0<t<60   , t(step)=0.1

  0<z<pi/3  , z(step)=pi/3

  Cylindrical strip

Fx(t,z)=4*sin(t)

Fy(t,z)=4*cos(t)

Fz(t,z)=t/6+z

  Helix strip

Fx(t)=R*sin(t)+8

Fy(t)=R*cos(t)

Fz(t)=R+z

     R=t/6

   Spherical strip

Fx(t)=4*sin(pi*(t/62.8))*sin(t) - 8

Fy(t)=4*sin(pi*(t/62.8))*cos(t)

Fz(t)=t/8+z

 
 

  Torus

  0<t <2*pi , t(step)=pi/20

  0<b<2*pi , b(step)=pi/20

Fx(t,b)=R*cos(t)

Fy(t,b)=R*sin(t)

Fz(t,b)=Rin*sin(b)

     Rin=2

   Rout=6

        R=Rout+Rin*cos(b)

 

  Spiral on Torus 1

  0<t <2*pi  , t(step)=pi/100

Fx(t)=(4+cos(n*t))*cos(m*t)

Fy(t)=(4+cos(n*t))*sin(m*t)

Fz(t)=sin(n*t)

     n =3

     m =2

 

 

  Spiral on Torus 2

  3/2<t <18  , t(step)=0.01

Fx(t)=(rho-r*cos(2*Pi*t))*cos(2*Pi/(n+t))

Fy(t)=(rho-r*cos(2*Pi*t))*sin(2*Pi/(n+t))

Fz(t)=-r*sin(2*Pi*t)

  rho = 4

     r = 1.1

     n= 0

 

 -2*pi<t <2*pi , t(step)=pi/10

      -5<b<5    , b(step)=pi/10

Fx(t,b)=R*cos(theta)

Fy(t,b)=R*sin(theta)

Fz(t,b)=Rin*sin(b)

        R=b

  theta=sin(t)

 -2*pi<t <2*pi , t(step)=pi/10

      0<b<2*pi , b(step)=pi/10

Fx(t,b)=R*cos(t)

Fy(t,b)=R*sin(t)

Fz(t,b)=t+b

        R=b

   0<t <2*pi , t(step)=pi/20

  -5<b<5     , b(step)=pi/20

Fx(t,b)=R*cos(theta)

Fy(t,b)=R*sin(theta)

Fz(t,b)=b

       R=cos(t*2)

 theta=t+b*2

 

 

   0<t <2*pi  , t(step)=pi/20

   0<b<pi/4  , b(step)=pi/20

Fx(t,b)=R*cos(theta)

Fy(t,b)=R*sin(theta)

Fz(t,b)=0

        R=2*cos(t*2)

  theta=t+b*2

Gear

Ribbon2

Cylinder333

Funnel333

Fir

Elliptical Torus

Helicoid

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Last modified: 15/09/2002.