Plotting Guide - Maple Help

Maple Plotting Guide

 Introduction  2-D Plots  3-D Plots  Specialized Plots  Statistical and Financial Plots   Dynamic Systems  Text Plot Options  Interactive Plotting  Combining Plots  Animating Plots  Transforming Plots  Exporting Plots  See Also

Introduction

Maple provides many varied forms of plots for you to use. This guide is designed to help you find the correct plot, and find the information you need to quickly and easily visualize your function, expression, or data.

 2-D Plots 3-D Plots Specialized Plots More Information 2-D Line Plots 3-D Line and Point Plots Statistical and Financial Plots Plot Options 2-D Filled Plots 3-D Filled Plots Dynamic Systems Interactive Plotting 2-D Vector and Grid Plots 3-D Vector and Grid Plots Text Combining Plots 2-D Point Plots 3-D Mathematical Concepts Calculated Animating Plots Bar Plots Transforming Plots 2-D Mathematical Concepts Calculated Exporting Plots See Also

Click on the name or picture of each plot to see the corresponding Maple help page. The commands to create the plots are in the examples section of each help page.

2-D Plots

 2-D Line Plots 2-D Point Plots 2-D Filled Plots Bar Plots 2-D Vector and Grid Plots 2-D Mathematical Concepts Calculated

2-D Line Plots

Compare plots

Complex plot

Cumulative sum chart

Draw geometric object

Draw graph or network

Dual axis plot

Frequency plot

Infinity plot

Line chart

Logarithmic plot

Parametric plot

Plot

Plot a discontinuous function

Plot implicit function

Plot in different coordinate system

Plot kernel density

Plot list of values

Plot real curve

Plot straight line

Polar plot

2-D Plots

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2-D Filled Plots

 Area chart Contour plot Density plot Pie chart Plot inequality Plot polygon polygonbyname Shade the area between two curves Venn diagram Violin plot Voronoi Diagram

2-D Plots

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2-D Vector and Grid Plots

 Conformal plot Plot direction field Plot field Plot gradient field Plot spatial curve Plot vector Plot vector field Show coordinate system Space curve

2-D Plots

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2-D Point Plots

 Agglomerated plot Bubble plot Color points by associated values Plot quantile Plot sparse matrix Point Plot Scatter plot Sunflower plot Symmetry plot

2-D Plots

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Bar Plots

 Bar chart Box plot Column graph Error plot Histogram Pareto

2-D Plots

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2-D Mathematical Concepts Calculated

 FlowLine Flux Function chart Line Integral Mean value theorem Newton's method Path of a stochastic process Plot Antiderivative Plot branches Plot DE solution cases Plot Derivative Plot eigenvectors Plot function composition Plot least squares fit Plot linear system Plot linear transform Plot Newton polygon Plot phase portrait Plot projection Plot Riemann sum Plot secant line Plot solution of ODE Plot Taylor Approximation Plot vector sum Plot y=x reflection Poincare surface of section Point interpolation Probability plot Process control chart Profile of likelihood Rolle's theorem Root locus plot Tree plot Venn diagram Wavelet plot

2-D Plots

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3-D Plots

 3-D Line and Point Plots 3-D Vector and Grid Plots 3-D Filled Plots 3-D Mathematical Concepts Calculated

3-D Line and Point Plots

 Agglomerated plot Draw graph or network Plot 3-D point Plot knot Space curve

3-D Plots

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3-D Filled Plots

3-D Plot

Apply gradient color scheme to surface

Area chart

Color surface by associated values

Color surface by coordinate values

Compare plots

Complex plot

Contour plot

Draw geometric object

Implicit plot

Plot intersection

Plot matrix values

Plot polyhedra

Plot tube

Shade the volume between two surfaces

Surface plot of data

3-D Plots

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3-D Vector and Grid Plots

 3-D Plot in different coordinate system Conformal plot Plot field Plot gradient field Plot spatial curve Plot surface Plot vector Show 3-D coordinate system

3-D Plots

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3-D Mathematical Concepts Calculated

 Directional derivative Flow line Flux Gradient Lagrange multipliers Line Integral Normal Plot cross product Plot cross section Plot DE solution Plot eigenvectors Plot least squares fit Plot linear system Plot linear transform Plot ODE solution Plot PDE solution Plot projection Plot Riemann sum Plot surface/volume of revolution Plot Taylor approximation Plot vector sum Poincare surface of section Radius of curvature Tangent vector TNB frame Vector-defined plane

3-D Plots

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Specialized Plots

Cayley Graph

Cayley Table

Commuting Graph

Compare plots in an Array

Display data on a world map

Display different world map projections

Draw Graph

Draw graph automorphisms

Draw Subgroup Lattice

LSPeriodogram

Periodogram

Plot Polyhedral Set

Pressure-enthalpy Diagram

Psychrometric Chart

SignalPlot

Spectrogram

Temperature-Entropy Chart

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Statistical and Financial Plots

3-D Agglomerated plot

3-D Area chart

Agglomerated plot

Area chart

Bar chart

Biplot

Box plot

Bubble plot

Column graph

Correlogram

Cumulative sum chart

Data plot

Error plot

Frequency plot

Heat map

Histogram

Line chart

Pareto

Path of a stochastic process

Pie chart

Plot kernel density

Plot point

Plot quantile

Probability plot

Profile of likelihood

Scatter plot

Scatter plot 3-D

Scree plot

Seasonal subseries plot

Sunflower plot

Surface plot of data

Symmetry plot

Time series plot

Tree map

Tree plot

Venn diagram

Violin plot

Weibull plot

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Dynamic Systems

Bode plot

Nichols Plot

Nyquist plot

Plot discrete points

Plot impulse response

Plot magnitude

Plot phase

Plot response

Plot response in 3-D

Plot zeros and poles

Root-contour plot

Root-locus plot

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Text

 3-D Text plot Text plot

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Plot Options

There are many options that can be applied to the plot command, and other plots accept most of those options. They include grid display options (gridlines, axes, captions, and more), plot generation options (adaptive point sampling and discontinuity detection), and plot display options (colors, line and fill styles, transparency, etc).  See plot options for a complete list.  Each plot page indicates which of the options it accepts.

Most of the options that can be applied to a plot command can also be applied interactively to an existing plot, by using the plot context menus.

The plottools package provides commands to generate basic graphical objects and alter existing plot structures. Objects include geometric shapes, arrows, and points, and can be displayed either in existing plots or on separate axes. Transformations involve rotation, translation, and scaling of any type of plot. Also available is textplot, for adding text or 2-D math to an existing plot (or textplot3d for 3-D plots). You can also add text, 2-D math, various shapes, or free form drawing to a 2-D plot using a set of drawing tools.

Typesetting for 3-D plots provides the ability to use typeset mathematics and text in titles, captions, axis labels and text objects, as well as the ability to edit them in place. For more information, see the plot/typesetting help page.

The plot and plot3d commands have been updated to recognize units in the function and range arguments, for both the expression-form and operator-form of the calling sequences. More information about this feature is available on the plot/units help page.

You can set most plot options for an entire Maple session, using the setoptions command. The options apply only to the worksheet in which they are set, until either it is closed, or restart is called.

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Interactive Plotting

Many plots can be generated using the interactive Plot Builder.  It is an interface with easy-to-use input fields and drop-down menus, allowing you to specify the options available for the plot you choose. When you use the Plot Builder on an expression to be plotted, it provides a choice of plot types which are compatible with that expression. Controls for plot options are grouped together by relevance and change dynamically in the panel.

For detailed instructions on using the plot builder interface, see Using the Interactive Plot Builder. For performing many tasks with plots, see the links on the plotting overview page.

The interactiveparams command can be useful for quickly viewing changes to certain variables in an expression. The expression can be manipulated and the plot previewed with a Maplet, then output as either a plot or a plotting command.

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Combining Plots

You can use the display command to display multiple plots on the same axes. This command accepts multiple plots of different structures, as long as they are all of the same dimension, and allows any of the plot options to be defined for all of the plots being displayed. Alternately, you can enter an array of plots into the display command, and plots can be displayed side-by-side. This command can also be used to animate one or more plots.

With most of the commands above, you can enter a set of functions or expressions in place of a single function or expression. Alternately, you can use the multiple command. These methods display multiple plots on the same axes, but they are all of the same type.

An easy way to add functions or expressions to an existing plot is to select and drag the input or output of an expression or function definition onto the plot. The settings that are applied to the original plot are also applied to the new function, but if you use default settings, the grid automatically adjusts to display all expressions fully. See drag and drop for details.

The Plot Builder also builds plots of multiple expressions, providing an easy way to modify the options on individual plots or global options.

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Animating Plots

Many of the plots above can be animated on a parameter, which is defined when the animate command is called. This provides a method for examining the effects of a single parameter on the plot. The same command can be used to show a curve traced in time. See the display help page for instructions on how to animate several plots and display an animation with a background plot.

The viewpoint animation option allows you to create a "fly-through" animation by varying the viewpoint through a 3-D plot. In a fly-through animation, the camera that projects the 3-D plot moves in all directions above, below, and around the plot surface, as if the camera were flying through the plot. For more information, see the plot3d/viewpoint help page.

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Transforming Plots

Maple provides many methods for altering existing plots. The easiest method is to use the plot context menus. There, you can change many of the plot options that can be specified when first generating the plot by using an interface that allows you to enter only the options accepted by that plot. See plotinterface for more details on manipulating both two-dimensional and three-dimensional plots.

You can also specify modifications and transformations to plot structures and objects using plottools. For instance, to exchange the coordinate axes of a plot or to apply a custom mapping to a plot, use plottools[transform].

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Exporting Plots

The default method of output for all plots is to display the plot inline within the Maple Worksheet. However, you can specify the output as a jpeg, gif, or postscript file, a Maplet, a new Maple Worksheet, or one of several other formats. To set the output method in a worksheet, use the plotsetup command.

You can also export a plot from the worksheet once it has been drawn, by using the plot context menus. See export a plot for more information.

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