gibson:teaching:fall-2013:math445:lab10
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gibson:teaching:fall-2013:math445:lab10 [2013/11/13 14:07] gibson created |
gibson:teaching:fall-2013:math445:lab10 [2013/11/13 14:19] (current) gibson |
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| Do the boundary conditions make the domain effectively infinite? Why or why not? | Do the boundary conditions make the domain effectively infinite? Why or why not? | ||
| - | **2.** We are going to create our own code for the game of life and use a | + | **2.** Write your own Game of Life code as a Matlab function, following these steps. |
| - | different approach based that does not allow anything to live on | + | Open the file ''mylife.m'' and start enter these lines. |
| - | borders of the domain. We will let our board be 50x50 grid. Start a | + | |
| - | new script file, and start it with the lines | + | |
| <code> | <code> | ||
| Line 20: | Line 18: | ||
| of the code? | of the code? | ||
| - | **3.** Next set up the initial layout for the game of life. This initial | + | **3.** Next set up the initial layout for the game of life on a |
| - | condition leads to some pretty interesting behavior! | + | a 50 x 50 grid. This initial condition leads to some pretty interesting behavior! |
| <code> | <code> | ||
| Line 48: | Line 46: | ||
| blue squares | blue squares | ||
| - | <code> | ||
| spy(X,'bs'); | spy(X,'bs'); | ||
| - | </code> | ||
| A more complicated but ultimately more satisfying way to plot the live cells | A more complicated but ultimately more satisfying way to plot the live cells | ||
| Line 63: | Line 59: | ||
| </code> | </code> | ||
| - | Whatever method you use, follow it with this code | + | Use this latter code unless you can't get your Game of Life code to run correctly. |
| + | In that case, use the simpler ''spy'' plotting code to debug, and then replace it | ||
| + | with ''find'' and ''plot'' once your code is running correctly. | ||
| <code> | <code> | ||
| Line 73: | Line 71: | ||
| </code> | </code> | ||
| - | Please briefly describe what each line of your code does using the help menu. | + | Please briefly describe what each line of your code does. Use the ''help'' |
| + | function or menu if you're not sure. | ||
| You may want to change the value of ''MarkerSize'' to make your plots look | You may want to change the value of ''MarkerSize'' to make your plots look | ||
| better, or change the argument of the ''pause'' function to make the code | better, or change the argument of the ''pause'' function to make the code | ||
| Line 100: | Line 99: | ||
| changes between successive time steps. (Hint: you'll need to store the | changes between successive time steps. (Hint: you'll need to store the | ||
| live cells an ''Xprev'' sparse matrix before you update them. Look up | live cells an ''Xprev'' sparse matrix before you update them. Look up | ||
| - | the ''nnz' function in help, and use it to compute the number of different | + | the ''nnz'' function in help, and use it to compute the number of different |
| elements between ''X'' and ''Xprev''.) | elements between ''X'' and ''Xprev''.) | ||
| Line 138: | Line 137: | ||
| - | Turn in your completed code and the answers to the above questions. | + | Turn in your completed code ''mylife.m'' and ''mylife2.m'' codes and the answers to the above questions. |
gibson/teaching/fall-2013/math445/lab10.1384380449.txt.gz · Last modified: 2013/11/13 14:07 by gibson
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