Which kind of function is this?

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  • Thread starter Jarvis323
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  • #1
Jarvis323
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I'm curious how close someone could get to guessing the functions that generated the data shown below. And also, without looking at the plot, what do you think would be the most interesting looking function of x,y,z you can think of.

A)

function.png


B)

function2.png


C)

function3.png
 

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  • #2
DaveE
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I'd vote for some 3-D fractal, like this one maybe:
curling_up_by_batjorge-1024-768x768.jpg


edit: I guess this isn't a function though. More like an algorithm. Functions can't be multi-valued, right? Plus maybe you mean 4-D; "a function of x,y,z". Anyway, I like the pictures.
 
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  • #4
Jarvis323
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They're each some functions that combine sinusoidal and the mod function.

It's pretty interesting to me the patterns the come from just taking the remainder.

Each of these are just fmod( i*j*k, r ) for different r.

fmod-3.png

fmod-6.png



mod-8.png

mode2.png


mode.png
 

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