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

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 (see http://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.

Instructions

All files can be printed without support. Photos shown were printed on a Replicator 2 and sliced using the standard setting on Makerware.

Category: Math