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July 27th, 2018, 01:54 PM  #1 
Member Joined: Jul 2018 From: Germany Posts: 34 Thanks: 1  How do I find out what function this is?
Hello guys, I'm an architecturestudent, that is currently working on MoirĂ© patterns (this one in particular: I like this). Now if I rotate two triangular patterns, you can see that there are hexagonal spots popping up that are bright, depending on the rotation the scaling of those appearing hexagons changes, I plotted the points, but unfortunately lack the knowledge to figure out the periodic function. How can I get a function from a bunch of points? Is there software I can use? Is there a method I can apply? I'm glad for any hint the leads me to the solution of my problem. Last edited by skipjack; July 27th, 2018 at 03:09 PM. 
July 27th, 2018, 09:22 PM  #2 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,550 Thanks: 2550 Math Focus: Mainly analysis and algebra 
You need to figure out the geometry of the movement. Your example is perhaps a bit complicated because you need to identify what forms the hexagons, but once you've done that you should be able to work out the evolution over time. Here's a simpler example of the method, using the cycloid: 
July 28th, 2018, 04:23 AM  #3 
Member Joined: Jul 2018 From: Germany Posts: 34 Thanks: 1  That helps me out, thanks for the hint, I'll try to do something like this:

July 28th, 2018, 04:55 AM  #4 
Member Joined: Jul 2018 From: Germany Posts: 34 Thanks: 1 
I think I've got it: f(x)=abs(tan(x/6)) I'm sure I'll come back later, when I scale one pattern relative to the other to get the amount of shearing that is happening, anyways, thanks again. 

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find, function, peridic, plotted, points 
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