| > | with(plots): |
Warning, the name changecoords has been redefined
| > | ;
|
| > | contourplot(-5*x/(x^2 + y^2 + 1),x=-3..3,y=-3..3,filled=true,
coloring=[white,blue]); |
![[Plot]](Multipoleimages/Multipoles_1.gif)
We give below 3-d plots of the Legendre polynomials, interpreted in spherical coordinates as appropriate.
| > | plot3d(cos(theta),theta=0..Pi,phi=0..2*Pi,coords=spherical,style=patch,scaling=constrained); |
![[Plot]](Multipoleimages/Multipoles_2.gif)
| > | plot3d((3*(cos(theta))^2-1)/2,theta=0..Pi,phi=0..2*Pi,coords=spherical,style=patch,scaling=constrained); |
![[Plot]](Multipoleimages/Multipoles_3.gif)
| > | plot3d(LegendreP(3,cos(theta)),theta=0..Pi,phi=0..2*Pi,coords=spherical,style=patch,scaling=constrained,projection=0.5); |
![[Plot]](Multipoleimages/Multipoles_4.gif)
| > | plot3d(LegendreP(4,cos(theta)),theta=0..Pi,phi=0..2*Pi,coords=spherical,style=patch,scaling=constrained,projection=0.5); |
![[Plot]](Multipoleimages/Multipoles_5.gif)
| > |