My Math Forum How do I find out what function this is?

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July 27th, 2018, 12:54 PM   #1
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How do I find out what function this is?

Hello guys,

I'm an architecture-student, 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.
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Last edited by skipjack; July 27th, 2018 at 02:09 PM.

 July 27th, 2018, 08:22 PM #2 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,616 Thanks: 2606 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, 03:23 AM   #3
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Quote:
 Originally Posted by v8archie You need to figure out the geometry of the movement.
That helps me out, thanks for the hint, I'll try to do something like this:
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 principle.jpg (11.6 KB, 5 views)

July 28th, 2018, 03:55 AM   #4
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Joined: Jul 2018
From: Germany

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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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 functionFound.jpg (91.8 KB, 4 views)

 Tags find, function, peridic, plotted, points

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