Construct this surface whose boundary consists of two linking circles:




> x:=cos(s); > y:=sin(s); > z:=0; > x1:=x+t*2/Pi; > y1:=y; > z1:=z; > x2:=x1; > x2 := cos(s)+2*t/Pi; > y2:=cos(t)*y1sin(t)*z1; > z2:=sin(t)*y1+cos(t)*z1; > plot3d([x2,y2,z2],s=0..2*Pi,t=0..Pi/2,scaling=constrained); 
Construct a VRML file of the above surface.
> h2:=plot3d([x2,y2,z2],s=0..2*Pi,t=0..Pi/2,scaling=constrained): > with(plottools): > vrml(h2,"z:/usr1/data/disk3/exp02/1/s0.wrl",background_color=white); ¡@ 
Make sure that you understand the settings: scaling=constrained, background_color=white.
Make sure that Pi is different from pi.
The lighting scheme may be changed with the setting lightmodel=1ight1 or lightmodel=1ight2 or lightmodel=1ight3 or lightmodel=1ight4.
To increase the accuracy of the surface, add the setting grid = [50,50].
Modify the above equations to construct these surfaces