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The Butterfly

The parametric surface described by the equations:

 

x = u - u^3/3 + u*v^2

y = -v - u^2*v + v^3/3

z = u^2 - v^2

 

u,v plotted from -1.7 .... 1.7.

 

This surface is a minimal surface known as the "Enneper Surface". The mesh was generated in Blender 2.79 and and rendered using the Cycles Rendering engine. Thickness has been added to the surface and a pattern of hexagons have been mapped across it.

 

 

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Uploaded on January 14, 2018
Taken on January 15, 2018