What type of pattern is generated by mod(x * y, w)? Is this an interference pattern, a simple fractal or some...












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I've stumbled across this pattern a number of times when working with shaders. The visuals created are very interesting - similar to Moiré patterns, but more intricate.



I don't fully understand how it works and I'd like to know more about it, but I haven't been able to figure out what it's called. Any information or tidbits about this pattern would be greatly appreciated.



pattern example 1



pattern example 2



pattern example 3



When applying a scale factor this pattern exhibits fractal-like properties where each node seems to be a smaller version of a similar pattern (but not infinitely).



pattern example scaled



However this animated gif suggests to me that it's an interference pattern of sorts (because you can see the interaction of 2 patterns at 2 different scales)



animation showing interference



Here's a link to the shader where you can test the input parameters:
https://shaderfrog.com/app/view/2754










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    1












    $begingroup$


    I've stumbled across this pattern a number of times when working with shaders. The visuals created are very interesting - similar to Moiré patterns, but more intricate.



    I don't fully understand how it works and I'd like to know more about it, but I haven't been able to figure out what it's called. Any information or tidbits about this pattern would be greatly appreciated.



    pattern example 1



    pattern example 2



    pattern example 3



    When applying a scale factor this pattern exhibits fractal-like properties where each node seems to be a smaller version of a similar pattern (but not infinitely).



    pattern example scaled



    However this animated gif suggests to me that it's an interference pattern of sorts (because you can see the interaction of 2 patterns at 2 different scales)



    animation showing interference



    Here's a link to the shader where you can test the input parameters:
    https://shaderfrog.com/app/view/2754










    share|cite|improve this question











    $endgroup$















      1












      1








      1





      $begingroup$


      I've stumbled across this pattern a number of times when working with shaders. The visuals created are very interesting - similar to Moiré patterns, but more intricate.



      I don't fully understand how it works and I'd like to know more about it, but I haven't been able to figure out what it's called. Any information or tidbits about this pattern would be greatly appreciated.



      pattern example 1



      pattern example 2



      pattern example 3



      When applying a scale factor this pattern exhibits fractal-like properties where each node seems to be a smaller version of a similar pattern (but not infinitely).



      pattern example scaled



      However this animated gif suggests to me that it's an interference pattern of sorts (because you can see the interaction of 2 patterns at 2 different scales)



      animation showing interference



      Here's a link to the shader where you can test the input parameters:
      https://shaderfrog.com/app/view/2754










      share|cite|improve this question











      $endgroup$




      I've stumbled across this pattern a number of times when working with shaders. The visuals created are very interesting - similar to Moiré patterns, but more intricate.



      I don't fully understand how it works and I'd like to know more about it, but I haven't been able to figure out what it's called. Any information or tidbits about this pattern would be greatly appreciated.



      pattern example 1



      pattern example 2



      pattern example 3



      When applying a scale factor this pattern exhibits fractal-like properties where each node seems to be a smaller version of a similar pattern (but not infinitely).



      pattern example scaled



      However this animated gif suggests to me that it's an interference pattern of sorts (because you can see the interaction of 2 patterns at 2 different scales)



      animation showing interference



      Here's a link to the shader where you can test the input parameters:
      https://shaderfrog.com/app/view/2754







      fractals






      share|cite|improve this question















      share|cite|improve this question













      share|cite|improve this question




      share|cite|improve this question








      edited Nov 30 '18 at 15:34







      goulding

















      asked Nov 30 '18 at 3:09









      gouldinggoulding

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