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Gallery

We present a collection of pictures illustrating the capabilities of the present MuPAD® graphics system. These pictures are created at various places in this document where they are used to demonstrate certain features of the graphics system. A reference to the location of detailed documentation is provided along with each picture in this gallery. There, further details including the MuPAD commands for generating the picture can be found.

2D Function and Curve Plots

The following picture shows a plot of several functions. Singularities are highlighted by "vertical asymptotes." See 2D Function Graphs: plotfunc2d for details:

The following picture shows a function plot together with a spline interpolation through a set of sample points. See section Some Examples for details:

The following picture shows a hatched area between functions. See the examples on the help page of plot::Hatch for details:

The following picture demonstrates some layout possibilities. See the examples on the help page of Layout for details:

The following picture demonstrates the construction of cycloids via points fixed to a rolling wheel. See section Some Examples for an animated version and details:

The following picture demonstrates hatched areas inside curves. See the examples on the help page of plot::Hatch for details:

Other 2D examples

The following picture shows an imported bitmap inside function plots. See section Importing Pictures for details:

The following picture shows some frames of an animation of the perturbed orbit of a small planet kicked out of a solar system by a giant planet after a near-collision. See section Example 3 for details of the animation:

The following picture shows three solution curves of an ODE inside the directional vector field associated with the ODE. See the examples on the help page of plot::VectorField2d for details:

The following picture shows the Mandelbrot set together with two blow ups of regions of special interest. See the examples on the help page of plot::Density for details:

The following picture shows several rotated copies of a function graph. See the examples on the help page of plot::Rotate2d for details:

The following picture shows a data plot of type plot::Bars2d. See the examples on the help page of plot::Bars2d for details:

The following picture shows the image of a rectangle in the complex plane under the map . See the examples on the help page of plot::Conformal for details:

The following picture shows some elliptic curves generated as a contour plot. See the examples on the help page of plot::Implicit2d for details:

The following picture shows the Feigenbaum diagram of the logistic map. See the examples on the help page of plot::PointList2d for details:

The following picture shows a fractal object generated by a turtle plot of a Lindenmayer system. See the examples on the help page of plot::Lsys for details:

3D Functions, Surfaces, and Curves

The following picture demonstrates a 3D function plot of , where is the Bessel function of the first kind. See the examples on the help page of plot::Function3d for details:

The following picture demonstrates a 3D function plot enhanced by a coordinate grid. See the examples on the help page of GridVisible for details:

The following picture demonstrates a 3D function plot of , which is not real for some parts of the parameter space. See the documentation of plot::Function3d for details:

The following picture shows "Klein's bottle" (a famous topological object). This surface does not have an orientation; there is no "inside" and no "outside" of this object. See the examples on the help page of plot::Surface for details:

The following picture demonstrates the reconstruction of an object with rotational symmetry from measurements of its radius at various points. See section Some Examples for details:

The following picture shows the "Lorenz attractor." See section Cameras in 3D for an animated version and details:

The following picture shows a 3D level surface of a function (the solution set of z2 = sin(z - x2y2)). See the examples on the help page of plot::Implicit3d for details:

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