Important matlab commands: linspace, meshgrid, pcolor, surf, contour, surfc, contourf, quiver, mesh, load, subplot, pcolor, shading.
Skim the Matlab documentation for
linspace, meshgrid, and
pcolor. Create a 2D mesh from −π to π with 30 points in both the x and y directions. Then for each position in the mesh let z = cos(x) sin(y). Use
axis equal, and
axis tight to generate this figure:
But don't you hate those ugly black lines? You can get rid of them with the
shading command. Use
subplot and the
shading command to generate this figure:
Create a 2D mesh from −π to π with 20 points in both the
y directions, let
z = cos(x) sin(y) pointwise, and then recreate this figure using the
Create a 2D mesh from −10 to 10 with 100 points in both the
z = 5 sin(r)/r. Then recreate Figure 4 using the
Attribution: based on Prof. Mark Lyon's “Advanced Graphics” lab for Math 445, which was adapted from an Octave demo.
Create a 2D mesh from −π to π with 100 points in both the x and y directions and
then recreate Figure 5, using the functions
z = cos(x/2) cos(y/2),
z = sin(x) cos(y/2),
z = cos(x/2) sin(y), and
z = sin(x) sin(y).
Enter the following code into a script ﬁle, save the ﬁgure produced as a '.jpg' or '.png' image, and include it with your project. What does the image produce? What is the role of the 'C' variable?
[phi,theta] = meshgrid(linspace(0,2*pi,100)); X=(cos(phi) + 3) .* cos(theta); Y=(cos(phi) + 3) .* sin(theta); Z=sin(phi); C=sin(3*theta); surf(X,Y,Z,C) shading interp
Draw a Klein bottle in Matlab. Feel free to search the web, but understand whatever you use.
Attribution: This lab is adapted from Prof.Mark Lyon's Math 445 Advanced Graphics lab, which is adapted from Octave demos at http://yapso.sourceforge.net/demo/demo.html.