3DGraphsInCylindrical
Interactive Graphs of Functions in Cylindrical Coordinates in Three Dimensions
This PG code shows how to generate interactive graphs of functions from a MathObjects formula. It uses the Java applet LiveGraphics3D to display the interactive graph.
PG problem file | Explanation |
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DOCUMENT(); loadMacros( "PGstandard.pl", "MathObjects.pl", "parserVectorUtils.pl", "PGcourse.pl", "LiveGraphicsCylindricalPlot3D.pl", ); TEXT(beginproblem()); |
Initialization:
We need to include the macros file |
Context("Numeric"); Context()->variables->are(x=>"Real",y=>"Real",r=>"Real",t=>"Real"); $a = random(2,4,1); $plot = CylindricalPlot3D( function => Formula("$a*cos((r^2)/4)"), rvar => "r", tvar => "t", rmin => 0, rmax => 6, tmin => 0, tmax => 2*pi, rsamples => 20, tsamples => 15, axesframed => 1, xaxislabel => "X", yaxislabel => "Y", zaxislabel => "Z", outputtype => 4, ); |
Setup:
We generate a string of plot data using
Setting |
Context()->texStrings; BEGIN_TEXT \{ Live3Ddata( $plot, image => "wavy-surface.png", size => [400,400], tex_size => 600, tex_center => 1, scale => 1.1, ); \} END_TEXT Context()->normalStrings; |
Main Text:
To display the string of plot data
After you construct the graph you like, don't forget to take a screen shot of it and make an image file such as |
$showPartialCorrectAnswers = 1; ENDDOCUMENT(); |
Answer Evaluation: Nothing happening here. |