Light Bulb Filament: What Equations Describe Its Shape?

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SUMMARY

The discussion focuses on modeling a light bulb filament using MATLAB, specifically seeking equations that describe its complex shape. A simple spiral can be represented by the parametric equations (x,y,z) = (cos(t), sin(t), b*t), but the user is looking for more intricate representations. Suggestions include using parametric plots to achieve the desired filament shape, indicating that basic spiral equations are insufficient for complex designs.

PREREQUISITES
  • Understanding of parametric equations in 3D space
  • Familiarity with MATLAB for plotting and modeling
  • Basic knowledge of trigonometric functions
  • Experience with mathematical modeling of physical objects
NEXT STEPS
  • Research advanced parametric equations for complex 3D shapes
  • Explore MATLAB's plotting functions for 3D visualizations
  • Learn about spline curves and their applications in modeling
  • Investigate the use of Bezier curves for intricate filament designs
USEFUL FOR

Students and professionals in engineering, physics, or computer graphics who are interested in modeling complex shapes and visualizing them using MATLAB.

schulzy
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Homework Statement


I want to modelling a light bulb filament in MATLAB, but I don't know, what functions describe this shape. My question is, what are equation (x,y,z) which describe the light bulb filament.
 

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If you just mean a spiral shape then something like (x,y,z)=(Sin(t),Cos(t),t) should work using a parametric plot (in mathematica anyway, I don't use matlab).
 
I know that
x=cos(t)
y=sin(t)
z=b*t
these equation describe a simple spiral, but I want to drawing complicated shape, like in attachment.
 

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