Mathematica, Plot3D command and 3D points

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  • Thread starter Thread starter Telemachus
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    3d Mathematica Points
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SUMMARY

The discussion focuses on using the Plot3D command in Mathematica to plot a surface and overlay specific points on that surface. The user seeks to visualize a point related to a second-degree Taylor polynomial approximation. The solution provided involves using the Show function to combine the surface plot generated by Plot3D with a ListPlot3D command that includes the desired points. This method effectively displays both the surface and the points in a single graph.

PREREQUISITES
  • Familiarity with Mathematica software
  • Understanding of the Plot3D command in Mathematica
  • Knowledge of ListPlot3D for plotting points in 3D
  • Basic concepts of Taylor polynomials and their graphical representation
NEXT STEPS
  • Explore advanced features of the Show function in Mathematica
  • Learn about customizing plots in Mathematica for better visualization
  • Investigate the use of different plotting styles in ListPlot3D
  • Study the implications of Taylor polynomial approximations in graphical analysis
USEFUL FOR

Mathematica users, educators, and students involved in mathematical modeling and visualization, particularly those working with 3D plots and polynomial approximations.

Telemachus
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Hi there. Well, I got a surface plotted with Mathematica. I've used the Plot3D command for this. But now I want to plot a point in the same graph. The thing is I've used Taylors polynomial of second degree, and I want to "see" the point around which I'm making the approximation. But I don't know how to plot the point in the same graph, over the surface. I don't know how to plot points in the graph of a surface, using the Plot3D command.

Any help?

Bye there, and thanks.
 
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You want to create a list that has the point or points you want to plot, then use the following command:

Show[Plot3D[...your surface plot...],ListPlot3D[...yourlist...]]

This will show both plots together.
 
thanks!
 

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