Modelling of a curve in 3D space

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SUMMARY

The discussion focuses on modeling a 3D curve resembling the shape of a snowdrop flower. The original poster experimented with the function f(x,y) = sin(x² + y²)/(x² + y²) but found it produced a water drop shape instead. Participants are encouraged to provide alternative mathematical functions or techniques that can accurately represent the desired snowdrop curve in 3D space.

PREREQUISITES
  • Understanding of 3D parametric equations
  • Familiarity with trigonometric functions, specifically sine and cosine
  • Basic knowledge of mathematical modeling techniques
  • Experience with graphing software or tools for visualizing 3D curves
NEXT STEPS
  • Research 3D parametric curve modeling techniques
  • Explore alternative mathematical functions for curve fitting
  • Learn about Bézier curves and their applications in 3D modeling
  • Investigate software tools like MATLAB or Blender for visualizing complex curves
USEFUL FOR

Mathematicians, 3D modelers, and anyone interested in computational geometry or curve modeling in three-dimensional space.

ann96
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i'm looking for a curve that would have a shape of a snowdrop (the white spring flower) in 3D space. i have tried some sine and cosine functions but they don't give me the right shape. if anyone knows how solve this problem feel free to comment :)

(i have tried f(x,y)= sin (x*x + y*y)/(x*x + y*y) ...but it gives me more of a water drop shape.)
 
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ann96 said:
i'm looking for a curve that would have a shape of a snowdrop (the white spring flower) in 3D space. i have tried some sine and cosine functions but they don't give me the right shape. if anyone knows how solve this problem feel free to comment :)

(i have tried f(x,y)= sin (x*x + y*y)/(x*x + y*y) ...but it gives me more of a water drop shape.)
Perhaps you can give us more information about what you're looking for?
 
Pond Dragon said:
Perhaps you can give us more information about what you're looking for?

in the first attached file is the curve i was talking about and in the second file is the curve i would like to get and is similar to a snowdrop (on the picture)
 

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