Surfaces wrapped around a cylinder for 3d printing

  • #1
bugatti79
792
1
Hi All,

I am looking to determine how these Vases where modeled using maths on this webpage https://www.3dforprint.com/3dmodel/sine-wave-vase-generator/2116. It looks like the surface is parametrically defined and wrapped around a cylinder.

Interestingly he mentions

"Sine waves combine to form beautiful super positions all over these vases. You enter values for the period of each of 5 layers and interesting super positions form between the layers. Enter numbers that have meaning to you and display this vase as a conversation piece."

Hence I searched for superposition of sine waves but most referred to those of 2 waves only.

Is there some generic equation that can somehow represent the superposition of multiple waves/surfaces? Or more simply, what would the general form of the equations look like to get those surfaces generated in the pics?

sine-wave-vase-generator1.jpg


Please note that I also posted the same question at this link but no reply.

https://mathematica.stackexchange.c...used-to-replicate-these-surface-plots-seen-on

Thanks!
 

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