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Packages » VectorGraphics :: plot2d
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plot2d -- Draws a curve or surface

Description

Draws a curve or surface defined implicitly or explicitly by a polynomial. The first argument is a polynomial or set of polynomials, the second is a list of two coordinates specifying the range(s) of variable(s). In plot2d (resp. plot3d), if the number of variables of the ring of the polynomials is 1 (resp. 2), the graph of the polynomial is drawn; otherwise, the zero set of the polynomial is drawn. The option Mesh specifies the number of sampled values of the variables.

i1 : R=RR[x,y];
 
i2 : P=y^2-(x+1)*(x-1)*(x-2);
 
i3 : plot2d(P,{-2,3},"stroke-width"=>0.05,"stroke"=>"red",Axes=>true)

o3 = GraphicsList{Axes => true                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    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                  cache => CacheTable{}
                  Contents => {Path{cache => CacheTable{}                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                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                                                                                                                                  }, Path{cache => CacheTable{}                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               }, Path{cache => CacheTable{}                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              }, Path{cache => CacheTable{}                                                                            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-2.09833 |     | -2.21853 |     | -2.33923 |     | -2.46051 |     | -2.58244 |     | -2.70506 |     | -2.82843 |                          | 2.97773e-13 |     | .536307 |     | .742294 |     | .889312 |     | 1.00399 |     | 1.09687 |     | 1.17346 |     | 1.23708 |     | 1.28996 |     | 1.33365 |     | 1.36931 |     | 1.39781 |     | 1.41986 |     | 1.43601 |     | 1.44672 |     | 1.45237 |     | 1.45327 |     | 1.4497 |     | 1.44187 |     | 1.42999 |     | 1.41421 |     | 1.39468 |     | 1.3715 |     | 1.34476 |     | 1.31453 |     | 1.28087 |     | 1.24378 |     | 1.20328 |     | 1.15931 |     | 1.11181 |     | 1.06066 |     | 1.00567 |     | .946573 |     | .882964 |     | .814248 |     | .73951 |     | .657267 |     | .564911 |     | .457165 |     | .319961 |     | 3.15594e-13 |     | 5.21792e-13 |     | .400156 |     | .583952 |     | .73714 |     | .876356 |     | 1.00778 |     | 1.13446 |     | 1.25812 |     | 1.37986 |     | 1.50037 |     | 1.62019 |     | 1.73965 |     | 1.85903 |     | 1.97854 |     | 2.09833 |     | 2.21853 |     | 2.33923 |     | 2.46051 |     | 2.58244 |     | 2.70506 |     | 2.82843 |                          | -1.41421 |     | -1.35765 |     | -1.30108 |     | -1.24451 |     | -1.18794 |     | -1.13137 |     |  -1.0748 |     | -1.01823 |     | -.961665 |     | -.905097 |     | -.848528 |     |  -.79196 |     | -.735391 |     | -.678823 |     | -.622254 |     | -.565685 |     | -.509117 |     | -.452548 |     |  -.39598 |     | -.339411 |     | -.282843 |     | -.226274 |     | -.169706 |     | -.113137 |     | -.0565685 |     | -4.44089e-15 |     | .0565685 |     |  .113137 |     |  .169706 |     |  .226274 |     |  .282843 |     |  .339411 |     |  .39598  |     |  .452548 |     |  .509117 |     |  .565685 |     |  .622254 |     |  .678823 |     |  .735391 |     |  .79196  |     |  .848528 |     | .905097 |     |  .961665 |     |  1.01823 |     |  1.0748  |     |  1.13137 |     |  1.18794 |     |  1.24451 |     |  1.30108 |     |  1.35765 |     |  1.41421 |                          |   -1.41421   |     | -1.35765 |     | -1.30108 |     | -1.24451 |     | -1.18794 |     | -1.13137 |     | -1.0748 |     | -1.01823 |     | -.961665 |     | -.905097 |     | -.848528 |     | -.79196 |     | -.735391 |     | -.678823 |     | -.622254 |     | -.565685 |     | -.509117 |     | -.452548 |     | -.39598 |     | -.339411 |     | -.282843 |     | -.226274 |     | -.169706 |     | -.113137 |     | -.0565685 |     | -4.44089e-15 |     | .0565685 |     | .113137 |     | .169706 |     | .226274 |     | .282843 |     | .339411 |     |  .39598 |     | .452548 |     | .509117 |     | .565685 |     | .622254 |     | .678823 |     | .735391 |     |  .79196 |     | .848528 |     | .905097 |     | .961665 |     | 1.01823 |     |  1.0748 |     | 1.13137 |     | 1.18794 |     | 1.24451 |     | 1.30108 |     | 1.35765 |     |    1.41421   |                          | -2.82843 |     | -2.77186 |     | -2.71529 |     | -2.65872 |     | -2.60215 |     | -2.54558 |     | -2.48902 |     | -2.43245 |     | -2.37588 |     | -2.31931 |     | -2.26274 |     | -2.20617 |     | -2.1496 |     | -2.09304 |     | -2.03647 |     | -1.9799 |     | -1.92333 |     | -1.86676 |     | -1.81019 |     | -1.75362 |     | -1.69706 |     | -1.64049 |     | -1.58392 |     | -1.52735 |     | -1.47078 |     | -1.41421 |     | -1.35765 |     | -1.30108 |     | -1.24451 |     | -1.18794 |     | -1.13137 |     | -1.0748 |     | -1.01823 |     | -.961665 |     | -.905097 |     | -.848528 |     | -.79196 |     | -.735391 |     | -.678823 |     | -.622254 |     | -.565685 |     | -.509117 |     | -.452548 |     | -.39598 |     | -.339411 |     | -.282843 |     | -.226274 |     | -.169706 |     | -.113137 |     | -.0565685 |     | -4.44089e-15 |     | .0565685 |     | .113137 |     | .169706 |     | .226274 |     | .282843 |     | .339411 |     |  .39598 |     | .452548 |     | .509117 |     | .565685 |     | .622254 |     | .678823 |     | .735391 |     |  .79196 |     | .848528 |     | .905097 |     | .961665 |     | 1.01823 |     |  1.0748 |     | 1.13137 |     | 1.18794 |     | 1.24451 |     | 1.30108 |     | 1.35765 |     | 1.41421 |     | 1.47078 |     | 1.52735 |     | 1.58392 |     | 1.64049 |     | 1.69706 |     | 1.75362 |     | 1.81019 |     | 1.86676 |     | 1.92333 |     |  1.9799 |     | 2.03647 |     | 2.09304 |     |  2.1496 |     | 2.20617 |     | 2.26274 |     | 2.31931 |     | 2.37588 |     | 2.43245 |     | 2.48902 |     | 2.54558 |     | 2.60215 |     | 2.65872 |     | 2.71529 |     | 2.77186 |     | 2.82843 |                   | -2.82843 |
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  |     |     0    |                          |       0      |     |     0    |     |     0    |     |     0    |     |     0    |     |     0    |     |    0    |     |     0    |     |     0    |     |     0    |     |     0    |     |    0    |     |     0    |     |     0    |     |     0    |     |     0    |     |     0    |     |     0    |     |    0    |     |     0    |     |     0    |     |     0    |     |     0    |     |     0    |     |     0     |     |       0      |     |     0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |       0      |                          |     0    |     |     0    |     |     0    |     |     0    |     |     0    |     |     0    |     |     0    |     |     0    |     |     0    |     |     0    |     |     0    |     |     0    |     |    0    |     |     0    |     |     0    |     |    0    |     |     0    |     |     0    |     |     0    |     |     0    |     |     0    |     |     0    |     |     0    |     |     0    |     |     0    |     |     0    |     |     0    |     |     0    |     |     0    |     |     0    |     |     0    |     |    0    |     |     0    |     |     0    |     |     0    |     |     0    |     |    0    |     |     0    |     |     0    |     |     0    |     |     0    |     |     0    |     |     0    |     |    0    |     |     0    |     |     0    |     |     0    |     |     0    |     |     0    |     |     0     |     |       0      |     |     0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |     |    0    |                   |     0    |
                                                     |       1      |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |    1    |     |     1    |     |     1    |     |     1    |     |     1    |     |    1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |    1    |     |     1    |     |     1    |     |     1    |     |     1    |     |       1      |     |       1      |     |     1    |     |     1    |     |    1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |                          |      1      |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1   |     |    1    |     |    1    |     |    1    |     |    1    |     |    1   |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1   |     |    1    |     |    1    |     |    1    |     |    1    |     |      1      |     |      1      |     |    1    |     |    1    |     |    1   |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |                          |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1     |     |       1      |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |    1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |                          |       1      |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |    1    |     |     1    |     |     1    |     |     1    |     |     1    |     |    1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |    1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1     |     |       1      |     |     1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |       1      |                          |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |    1    |     |     1    |     |     1    |     |    1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |    1    |     |     1    |     |     1    |     |     1    |     |     1    |     |    1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |    1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1    |     |     1     |     |       1      |     |     1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |     |    1    |                   |     1    |
                                    style => MutableHashTable{}                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                style => MutableHashTable{}                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  style => MutableHashTable{}                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 style => MutableHashTable{}                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                style => MutableHashTable{}                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              Point2 => |    3    |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      | 2.82843 |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      |    0    |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      |    1    |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            style => MutableHashTable{...2...}
                  Size => 40
                  style => MutableHashTable{...3...}

o3 : GraphicsList

For the programmer

The object plot2d is a function closure.