Aotomobile Tyre
0<a<pi , a(step)=pi/10
pi/2<b<3/2*pi , b(step)=pi/5
Fx(a,b)=2*sin(b)
Fy(a,b)=2*(2-cos(b))*sin(a)
Fz(a,b)=2*(2-cos(b))*cos(a)
Tyre Carrier
Fy(a,b)=2*(2-cos(b)^2)*sin(a)
Fz(a,b)=2*(2-cos(b)^2)*cos(a)
Slide
-2*pi<a<2*pi , a(step)=pi/10
0<b<2*pi , b(step)=pi/10
Fx(a,b)=2*(2-cos(b)^2)*sin(a)
Fy(a,b)=2*(2-cos(b)^2)*cos(a)
Fz(a,b)=2*sin(b)+a
Firizbi
0<a<pi , a(step)=pi/20
0<b<pi , b(step)=pi/20
0<k<0.3 , k(step)=0.3
Fx(a,b)=5*sin(b)*(0.5+sin(a))
Fy(a,b)=cos(6*a)/2+k
Fz(a,b)=5*cos(b)*(0.5+sin(a))
Dome
Half Sphere
0<b<pi , b(step)=pi/10
Fx(a,b)=R*cos(a)
Fy(a,b)=R*cos(b)*sin(a)
Fz(a,b)=R*sin(b)*sin(a)+4
R=5
Cylinder
0<a<2*pi , a(step)=pi/10
2<z<4 , b(step)=2
Fy(a,b)=R*sin(a)
Fz(a,b)=z
Church Window (Top Part)
0<a<pi/2 , a(step)=pi/10
0<x<1 , x(step)=1
Fx(a,b,x)=R*cos(a)+x
Fy(a,b,x)=R*cos(b)*sin(a)
Fz(a,b,x)=R*sin(b)*sin(a)+4
Flowerpot
0<t<2*pi , a(step)=pi/20
0<z<3 , b(step)=0.2
Fx(t,z)=R*cos(t)
Fy(t,z)=R*sin(t)
Fz(t,z)=3*z
R=3*[sin(z^0.5)+sin(3*z^0.5)/2]
Pot
0<b<7/4*pi , b(step)=pi/10
Fx(a,b)=R*sin(a)*(1-sin(b))
Fy(a,b)=R*cos(a)*(1-sin(b))
Fz(a,b)=[b<pi]*R*cos(b)+b
Vase
0<a<7/4*pi , a(step)=pi/10
Fx(a,b)=4*sin(b)*sin(a)
Fy(a,b)=2.5*sin(a)*a
Fz(a,b)=4*cos(b)*sin(a)
Demijohn
Fy(a,b)=2.5*sin(2*a)*a
Loop variables
0<u<2*pi , a(step)=pi/20
pi<v<2*pi , b(step)=pi/20
Top
Fx(u,v)=(2.5 + 1.5*cos(v))*cos(u)
Fy(u,v)=(2.5 + 1.5*cos(v))*sin(u)
Fz(u,v)=-2.5 *sin(v)
Middle (body)
Fz(u,v)=3*v - 6 * Pi
Handle
Fx(u,v)=2 - 2*cos(v) + sin(u)
Fy(u,v)=cos(u)
Bottom
Fx(u,v)=2 + (2 + 2*cos(u))*cos(v)
Fy(u,v)=sin(u)
Fz(u,v)=-3*Pi + (2 + 2*cos(u))*sin(v)
Klein Bottle 2 (in a single piece )
-> Covered with Polygons
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