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3D model Knot-style Parametric Function Script ( Python ) by mrule on Thingiverse

Description

In my ongoing quest to eliminate or supersede all things Matlab, I present a functional solution to the problem of extruding along arbitrary contours, written in python.

This is a reaction to http://www.thingiverse.com/thing:7080, itself a derivative of http://www.thingiverse.com/thing:6923. Credit to both these authors for the concept and motivation.

Parameters are specified at the top of the script. A closed curve in 3D is specified as f:t→(x,y,z) a parametric function of t. A closed curve in 2D is specified as f:s→(x,y) and is used as the cross-section to extrude along the 3D curve.

Bonus : If you manually specify the "crosssection" matrix, which is a lost of [x,y] points around the perimeter, you can extrude arbitrary cross-sections.

download, cut, edit, steal, modify, repost, use, go.

update : I added knot.py, which simply explicitly defines the knot equations at the top and adds a couple integer parameters, similar too http://www.thingiverse.com/thing:6923.

Instructions

  • requires python, numpy
  • edit the functions and s,t ranges in the script
  • for knot.py, just play around with the integers at the top of the file
  • python stextrude.py myoutput.stl
  • might want to adjust resolution if the script takes too long
Thingiverse

Knot-style Parametric Function Script ( Python )

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Tags
3D art experiment knot Knot Theory model ornament parametric plot2print toy
License GNU - LGPL
Files (2)
a.stl 11.6 MB
s.stl 915.6 KB
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