The Maple commands used to produce this plot are as follows:
with(plots): plot1:=implicitplot3d(x^2+y^2-z^2=1,x=-3..3,y=0..3,z=-3..3): plot2:=implicitplot3d(x^2+y^2-z^2=2,x=-3..3,y=0..3,z=-3..3): plot3:=implicitplot3d(x^2+y^2-z^2=3,x=-3..3,y=0..3,z=-3..3): display3d({plot1,plot2,plot3},axes='FRAMED',style='WIREFRAME', scaling='CONSTRAINED',orientation=[-40,80]);(Only y>0 is shown, in order to see the inner surfaces.)
Here is the Maple plot of the 3 flow lines, along with the isotimic surfaces, which was asked for in question jh04.1, part 5:
The Maple commands used to produce this plot are as follows:
with(plots): plot1:=implicitplot3d(x^2+y^2-z^2=1,x=-3..3,y=0..3,z=-3..3): plot2:=implicitplot3d(x^2+y^2-z^2=2,x=-3..3,y=0..3,z=-3..3): plot3:=implicitplot3d(x^2+y^2-z^2=3,x=-3..3,y=0..3,z=-3..3): plot4:=spacecurve([t,t,1/t],t=1/3..3,color='RED'): plot5:=spacecurve([t,t,2/t],t=2/3..3,color='GREEN'): plot6:=spacecurve([t,t,3/t],t=1..3,color='BLUE'): display3d({plot1,plot2,plot3,plot3,plot4,plot5,plot6}, axes='FRAMED',style='WIREFRAME',scaling='CONSTRAINED', orientation=[-40,80]);