Daily Equation #10 – Sinc Function – y = a*sin(b*x)/(b*x)


Description

This is Day 10 of my collection of printable equations. To see the whole collection, go to:http://www.thingiverse.com/thing:227210

Based on gregsmith_to's request in the comments, (http://www.thingiverse.com/thing:227223/#comments), for today's equation, I'm doing the Sinc function, y = asin(bx)/(b*x), which is used in signal processing (seehttp://en.wikipedia.org/wiki/Sinc_function). I've uploaded two different versions of the equation, with different ranges. Per another request, I've included the Openscad file in case someone wants to modify the text or stand.

Details:

  • There's a surprise guest in the pictures.
  • units are in mm
  • a = 5000
  • b = 1080/200 (1st), and 720/100 (2nd)
  • Range(x) = 0.001 to 200 (1st), and 0.001 to 100 (2nd)
  • I'm still using the original algorithm for creating the thick curve, which can produce artifacts at rapid changes in slope. I'm working on an improved algorithm that will filter out the artifacts, but haven't had time to finish it.

As always, I'm going to continue to post one equation per day until get bored or people lose interest. If there's a particular equation you'd like to see, leave a comment and I'll give it a shot.

Daily Equation #10 - Sinc Function - y = a*sin(b*x)/(b*x) by skaye is licensed under theCreative Commons - Attribution - Non-Commercial license.

Single File Downloads

Name Type
STL FILE sin_pix_div_pix sin_pix_div_pix.stl
256.86 KB
STL Download
STL FILE sin_pix_div_pix_2 sin_pix_div_pix_2.stl
203.43 KB
STL Download
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