Thingiverse

Line Integral Surface

by abbymath

3 Downloads

1 Likes

0 Makes

I use this model to illustrate an application of Line Integrals. For example, if a curve *C* is in the *xy*-plane and there is a surface *z* = *f*(*x*,*y*) above it then the line integral of *f* over *C* is the area of the surface with the base following the curve and the height given by the function.

Designed in Mathematica.

Approximately 78 x 120 x 84 mm. No supports. No raft.

Also see my [Intersecting Surfaces](https://cults3d.com/en/3d-model/various/intersecting-surfaces) and my [Quadric Surfaces Set](https://cults3d.com/en/3d-model/various/quadric-surfaces-set).

More of my mathematical models on Cults:
https://cults3d.com/en/users/abbymath

abbymath Calculus calculus III integral line integral math mathematics maths Multivariable Calc parabola quadratic surface abbymath Calculus calculus III integral line integral math mathematics maths Multivariable Calc parabola quadratic surface

Source

Thingiverse

What you need to print this: Beginner Medium confidence

Why?

no supports

Support-free Single piece

Supports 0/3

Assembly 0/3

Settings 1/3

Bed size 0/3

Post-process 0/3

Printer

FDM / FFF

File format

STL

Material

PLA

Min. bed size

120 mm (Medium)

Software

Cura, PrusaSlicer, or similar

Same designer, more platforms

abbymath also publishes on

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Frequently Asked Questions

Which 3D printer is suitable for Line Integral Surface?

Any FDM printer should handle Line Integral Surface just fine. It's been printed on machines like Bambu Lab A1 Mini, Prusa Mini+, Creality Ender 3, most FDM printers. A minimum build volume of 120 mm is recommended.

Does Line Integral Surface need supports when printing?

No supports needed for Line Integral Surface — it's designed to print clean off the bed.

What file format is Line Integral Surface available in?

Line Integral Surface is available in STL format. These files can be opened and sliced using free software such as Cura, PrusaSlicer, Bambu Studio, or OrcaSlicer for FDM printing, or ChiTuBox and Lychee Slicer for resin printing. The download is provided through Thingiverse.

Is Line Integral Surface free to download?

Yes, Line Integral Surface is available as a free download through Thingiverse. Always check the license on the original platform to understand commercial use, remixing, and attribution requirements.

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