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July 27th, 2018, 01:54 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 Moiré 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 03:09 PM.
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July 27th, 2018, 09:22 PM   #2
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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:
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July 28th, 2018, 04:23 AM   #3
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Quote:
Originally Posted by v8archie View Post
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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July 28th, 2018, 04:55 AM   #4
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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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