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3. Working with Graphics Packages
Standard
The built-in commands in 2D allow to render function
graphs and parametrized planar curves.
Function Graph
2D Curves
| Parametrized
planar curve. |
In[1]:= p2 = ParametricPlot[{Cos[5t], Sin[3t]}, {t, 0, 2Pi},
AspectRatio -> Automatic];
In[2]:=
JavaView[p2]
|
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Graphics`ComplexMap`
| This plots the
image of a complex function for a given domain. |
In[1]:= << Graphics`ComplexMap`
In[2]:= pm = PolarMap[Exp, {0, 4, 1/4}, {Pi/2, Pi,
Pi/16}];
In[3]:=
JavaView[pm]
|
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Graphics`FilledPlot`
| This specifies
which curves to fill between and the colors of the filled regions. |
In[1]:= << Graphics`FilledPlot`
In[2]:= fp = FilledPlot[{Exp[-x], Cos[x], Sin[x]}, {x, 0, 2
Pi}, Fills -> {{{1, Axis}, RGBColor[1, 0, 0]}, {{3, 2}, RGBColor[0, 0,
1]}}, Curves -> Front]
In[3]:=
JavaView[fp]
|
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Graphics`Graphics`
| This plots an
ellipse and a limacon on the same graph. |
In[1]:= <<Graphics`Graphics`
In[2]:= gp = PolarPlot[{4/(2 + Cos[t]), 4Cos[t] - 2}, {t, 0,
2Pi}];
In[3]:=
JavaView[gp]
|
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Graphics`ImplicitPlot`
| This plots an
ellipse using the Solve method. |
In[1]:= <<Graphics`ImplicitPlot`
In[2]:= ip = ImplicitPlot[x^2 + 2 y^2 == 3, {x, -2,
2}];
In[3]:=
JavaView[ip]
|
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Graphics`Legend`
| This shows sine
and cosine curves with a legend. JavaView fails : Graphics inside a
rectangle command are not parsed.
Not supported yet. |
In[1]:= <<Graphics`Legend`
In[2]:= l = Plot[{Sin[x], Cos[x]}, {x, -2 Pi, 2 Pi},
PlotStyle -> {GrayLevel[0], Dashing[{.03}]}, PlotLegend -> {"Sine",
"Cosine"}];
In[3]:=
JavaView[l]
|
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Graphics`MultipleListPlot`
| This shows two
sets of points, displayed as little stars. JavaView fails :
MultipleListPlot makes intense use of Offset, which is not supported. |
In[1]:= <<Graphics`MultipleListPlot`
In[2]:= (list1 = Table[{x, Sin[2 Pi x]}, {x, 0, 1, 0.1}];
list2 = Table[{x, Cos[2 Pi x]}, {x, 0, 1, 0.1}]);
In[3]:=
mlp =
MultipleListPlot[list1, list2, PlotJoined -> True]
In[4]:=
JavaView[mlpp]
|
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Graphics`PlotField`
Draws two-dimensional vector fields on a planar
domain.
| The two components
of this vector field are given by sin(x) and cos(y). |
In[1]:= <<Graphics`PlotField`
In[2]:= gv = PlotVectorField[{Sin[x], Cos[y]}, {x, 0, Pi},
{y, 0, Pi}];
In[3]:=
JavaView[gv]
|
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Miscellaneous`WorldPlot`
| This will show a
map of Africa. |
In[1]:= <<Miscellaneous`WorldPlot`
In[2]:= a = WorldPlot[{Africa, RandomColors}, WorldProjection
-> Sinusoidal]
In[3]:=
JavaView[a]
|
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DiscreteMath`Combinatorica`
Showing Graphs
This packages provides the Graph object which consists
of a set of vertices and its adjacency matrix. Several commands produce and
modify such graphs.
The command ShowGraph[] converts a Graph object in a
Graphics object containing points and lines as a set of separate graphics
primitives.
The adjacency matrix is stored in full size in the Graph
object.
JavaView receives a graph as two separate geometries, a
point set and a polygon set. The point set is obsolete if the the vertices of
the polygon set are made visible.
| |
In[1]:= <<DiscreteMath`Combinatorica`
In[2]:= sg = ShowGraph[GridGraph[3, 3]]
In[3]:=
| JavaView[sg]
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DiscreteMath`ComputationalGeometry`
| Plot of the
Voronoi diagram of given points. |
In[1]:= <<DiscreteMath`ComputationalGeometry`
In[2]:= data2D = {{4.4, 14}, {6.7, 15.25}, {6.9, 12.8}, {2.1,
11.1}, {9.5, 14.9}, {13.2, 11.9}, {10.3, 12.3}, {6.8, 9.5}, {3.3, 7.7},
{0.6, 5.1}, {5.3, 2.4}, {8.45, 4.7}, {11.5, 9.6}, {13.8, 7.3}, {12.9,
3.1}, {11, 1.1}};
In[3]:= v = DiagramPlot[data2D];
In[4]:=
JavaView[v]
|
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DiscreteMath`Tree`
| This shows a
graphical representation of a tree with 10 nodes. |
In[1]:= <<DiscreteMath`Tree`
In[2]:= tp = TreePlot[MakeTree[Range[10]]]
In[3]:=
JavaView[tp]
|
Compare with Mathematica | |
