interfaces/xmaxima/plotmaxima.html

   1 <html>
   2
   3 <title>Maxima Plotting</title>
   4 <body  BGCOLOR=#ffffff TEXT=#000000 LINK=#244C21>
   5
   6 <br>
   7 <h4>Maxima 3d Plotting</h4>
   8 <br>
   9
  10
  11 <pre>
  12  - Function:<b> plot3d (expr, xrange, yrange,..., options,...)</b>
  13  - Function:<b> plot3d ([expr1,expr2,expr3], xrange, yrange,..., options,...)</b>
  14 </pre>
  15 When viewed with the netmath plotting routines, you can rotate the object
  16 by dragging with the right mouse button depressed.
  17 <ul>
  18 <li>  <eval program=maxima> plot3d(2^(-u^2+v^2),[u,-2,2],[v,-2,2]);</eval>
  19      would plot z = 2^(-u^2+v^2) with u and v varying in [-2,2] and
  20      [-2,2] respectively, and with u on the x axis, and v on the y axis.
  21
  22 <li> a <b>moebius band uses the second pattern of arguments</b>
  23
  24 <eval program=maxima>
  25 plot3d([cos(x)*(3+y*cos(x/2)), sin(x)*(3+y*cos(x/2)), y*sin(x/2)],
  26        [x,-%pi,%pi],[y,-1,1],['grid,40,15]);</eval>
  27      <br>
  28 parametrized by the 3 expressions given as the first
  29 argument to plot3d.  An additional optional argument [grid,50,15]
  30 gives the grid number of rectangles in the x direction and y
  31 direction.
  32
  33 <li>A <b>Riemann surface</b>: Real part of z^1/3
  34 <eval program=maxima>
  35 plot3d(r^.33*cos(th/3),[r,0,1],[th,0,6*%pi],
  36      ['grid,12,80],
  37      ['transform_xy,polar_to_xy]);</eval>
  38
  39 <li> a <b>Klein bottle</b>:
  40 <eval program=maxima>
  41 plot3d([5*cos(x)*(cos(x/2)*cos(y)+sin(x/2)*sin(2*y)+3.0) - 10.0,
  42         -5*sin(x)*(cos(x/2)*cos(y)+sin(x/2)*sin(2*y)+3.0),
  43        5*(-sin(x/2)*cos(y)+cos(x/2)*sin(2*y))],
  44      [x,-%pi,%pi],[y,-%pi,%pi],['grid,40,40]);</eval>
  45
  46 <li>a <b>torus</b>
  47 <eval program=maxima>
  48 plot3d([cos(y)*(10.0+6*cos(x)),
  49         sin(y)*(10.0+6*cos(x)),
  50        -6*sin(x)],
  51       [x,0,2*%pi],[y,0,2*%pi], ['grid,20,20]);</eval>
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