Mathematica: Illustrate a 3D vector field

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SUMMARY

The discussion focuses on plotting 3D vector fields using Mathematica, specifically addressing issues with visibility in the output. The user attempted to create a vector field visualization using the Graphics3D function but found the results unsatisfactory. A recommended solution is to utilize the VectorPlot3D function, which is designed for better representation of 3D vector fields, ensuring that important features are clearly visible.

PREREQUISITES
  • Familiarity with Mathematica 12.0 syntax and functions
  • Understanding of 3D vector fields and their representation
  • Basic knowledge of vector mathematics
  • Experience with graphical functions in Mathematica
NEXT STEPS
  • Explore the VectorPlot3D function in Mathematica for effective 3D vector field visualizations
  • Learn about customizing arrow styles and sizes in Mathematica graphics
  • Investigate the use of color gradients to enhance visibility in vector plots
  • Review documentation on Graphics3D for advanced plotting techniques in Mathematica
USEFUL FOR

This discussion is beneficial for physicists, mathematicians, and anyone using Mathematica for visualizing 3D vector fields, particularly those seeking to improve the clarity and effectiveness of their graphical representations.

skrat
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Homework Statement


Hi,
Firstly, let me apologize if this is not exactly the right topic to ask this questions. But since it is homework and since most of the Physicists for sure illustrate a 3D vector field, I decided to post it here.

Attached I have two files with 3D vectors.

How does one plot a 3D vector field, so that important things can still be seen? :/
View attachment tocke.txt
View attachment polje.txt

Homework Equations





The Attempt at a Solution



I used Mathematica to plot them like this:
Code:
Graphics3D[
 Table[{Arrowheads[.02], 
   Arrow[{tocke[[i]], polje[[i]] + tocke[[i]]}]}, {i, 1, 1331}], 
 Axes -> True]

Sadly, the picture I get is extremely horrible and nothing can actually be seen.
magnet.png


And I was hoping one of you might now a better idea on how to draw a 3D vector space? Hopefully.
 
Physics news on Phys.org
You can plot 3D vector fields using
Code:
VectorPlot3D
 

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