Describe how 8 identical pipes are joined togehter symmetrically.
> restart;
> with(plots):with(plottools):
Warning, the name changecoords has been redefined
> x:=cos(t):
> y:=sin(t):
> u:=x*sqrt(2):
> z:=(1-s)*2+s*u:
> a1:=plot3d([x,y,z],t=-Pi/3..Pi/3,s=0..1,scaling=constrained,grid=[30,8]):
> a2:=rotate(a1,0,0,2*Pi/3):
> a3:=rotate(a1,0,0,4*Pi/3):
> a:=display(a1,a2,a3):
> b1:=reflect(a,[[0,0,0],[1,0,sqrt(2)],[1,1,sqrt(2)]]):
> b2:=rotate(b1,0,0,2*Pi/3):
> b3:=rotate(b1,0,0,4*Pi/3):
> c:=display(a,b1,b2,b3):
> cc:=reflect(c,[0,0,0]):
> d:=display(c,cc):
> d;
> vrml(d,"d:/maplework/work11/1111/1111.wrl",background_color=white);
>