gibson:teaching:fall-2012:math445:lab10
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gibson:teaching:fall-2012:math445:lab10 [2012/11/19 14:02] gibson [Part C: surf in the shade] |
gibson:teaching:fall-2012:math445:lab10 [2013/11/06 19:01] (current) gibson [Part A: pcolor, meshgrid, shading, subplot] |
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| 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 ''pcolor,'' ''axis equal,'' and ''axis tight'' to generate the figure on the left. 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 the figure on the right | 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 ''pcolor,'' ''axis equal,'' and ''axis tight'' to generate the figure on the left. 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 the figure on the right | ||
| - | {{:gibson:teaching:fall-2012:math445:a.png?nolink&400|}} {{:gibson:teaching:fall-2012:math445:lab10-fig2.png?nolink&400|}} | + | {{:gibson:teaching:fall-2012:math445:a.png?nolink&300|}} {{:gibson:teaching:fall-2012:math445:lab10-fig2.png?nolink&300|}} |
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| {{:gibson:teaching:fall-2012:math445:lab10-fig5.png?500|}} | {{:gibson:teaching:fall-2012:math445:lab10-fig5.png?500|}} | ||
| + | |||
| + | ===== Part E: mystery plot ===== | ||
| + | |||
| + | |||
| + | 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? | ||
| + | |||
| + | <code> | ||
| + | [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 | ||
| + | </code> | ||
| + | |||
| + | ===== Bonus ===== | ||
| + | |||
| + | 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]]. | ||
gibson/teaching/fall-2012/math445/lab10.1353362534.txt.gz · Last modified: 2012/11/19 14:02 by gibson
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