3D graphs - plots and volumes in Matlab

plot3

t = 0 : .01 : 1;

x = 2*t;

y = -0.5*t.^2;

z1 = t.^3/2;

z2 = t.^3/.5;

plot3(x,y,z1, 'b' , x,y,z2, 'r' )

grid

fill3

x = [0 2.5; 5 2.5; 5 2.5; 0 2.5];

y = [0 0; 0 -1; 0 -1; 0 0];

z = [0 0; 0 0; 2 2; 2 2];

fill3(x,y,z, rand(4,2))

xlabel( 'x' ); ylabel( 'y' ); zlabel( 'z' );

view(120, 50)

grid

contour3

X = -3:.1:3;

[x,y] = meshgrid(X,X);

z = 1./(3+x.^2+y.^2);

contour3(z)

xlabel( 'x' ); ylabel( 'y' );

surf

X = -3 : .1 : 3;

[x,y] = meshgrid(X,X);

z = 1./(3+x.^2+y.^2);

surf(z)

xlabel( 'x' ); ylabel( 'y' );

surfc

X = -3 : .1 : 3;

[x,y] = meshgrid(X,X);

z = 1./(3+x.^2+y.^2);

surfc(z)

view(-30,20)

xlabel( 'x' ); ylabel( 'y' );

surfl

X = -3 : .1 : 3;

[x,y] = meshgrid(X,X);

z = 1./(3+x.^2+y.^2);

surfl(z)

shading interp

colormap hot

xlabel( 'x' ); ylabel( 'y' );

mesh

X = -2 : .1 : 2;

[x,y] = meshgrid(X,X);

z = 5./(1+x.^2+y.^2);

mesh(z)

xlabel( 'x' ); ylabel( 'y' );

waterfall

X = -3 : .1 : 3;

[x,y] = meshgrid(X,X);

z = -1./(1+x.^2+y.^2);

waterfall(z)

hidden off

xlabel( 'x' ); ylabel( 'y' );

pie3

data = [10 23 35 32];

pie3(data)

title( 'Important Data' )

ribbon

x = 0 : .1 : 4*pi;

y = cos(x);

ribbon(x,y,.1)

sphere

sphere(45)

axis 'equal'

cylinder

z = 0: .03 : 1;

r = cos(4*pi*z)+2;

cylinder(r)