Best software to show a solid of revolution

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SUMMARY

The discussion centers on finding software to visualize solids of revolution for a math project. Users recommend various tools, including Winplot for basic visualization, but suggest it lacks interactivity. Mathematica is mentioned as a powerful option, though it may be complex for beginners. Alternatives like POV-Ray, Octave, Maxima, and Euler are also suggested, particularly for users on Linux systems, as they offer more flexibility and are available for free.

PREREQUISITES
  • Understanding of solids of revolution in calculus
  • Familiarity with mathematical plotting software
  • Basic knowledge of Linux operating systems
  • Experience with free software tools like Octave or Maxima
NEXT STEPS
  • Explore the capabilities of Mathematica for interactive visualizations
  • Learn how to use Octave for plotting mathematical functions
  • Investigate Maxima for symbolic computation and visualization
  • Research Euler for its specific features in mathematical plotting
USEFUL FOR

Students in mathematics, educators teaching calculus concepts, and anyone interested in visualizing mathematical functions and solids of revolution.

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Hi,
I am doing a project for the math department and in it I would like to revolve this piecewise (3) function about the x axis. I have found programs like winplot which are pretty easy but it will only show the finished product. I am looking for something that I can either manipulate or it will revolve by itself to show the concept behind a solid of revolution. I looked at mathematica but I am not too familiar with that, does anyone know anything simple off hand?

Thanks!
 
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povray might be an overkill for a publication quality math paper...

I was thinking that something more along the lines of a math or plotting package might be sufficient and easy enough...just lately I saw the gallery for some Linux plotting program and now I just can't recall it...but, you may look into the capabilities of such programs like Octave, Maxima and Euler, they should all be available for free in your friendly Linux Ubuntu installation under Scientific or Engineering software.
 

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