Full Version: Scherk's second minimal surface script

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Thanks a lot Brian!

Very handy formula!!

Mathematics, this almost unknown "savage beast"...for me! (sigh)




Bye!

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Thank's Tom and Marco.
The equations, as shown in Wikipedia, https://en.wikipedia.org/wiki/Scherk_surface, are the same as in the Scherk2 script.

The equations are the comprehensible result of some mathematician managing to integrate the nearly
incomprehensible Weierstrass–Enneper parameterization.
https://en.wikipedia.org/wiki/Weierstrass%E2%80%93Enneper_parameterization

For some other minimal surfaces, like Costa and Gyroid (I think), the integration must be done numerically, programmed with some
program like Mathematica. The programs create a triangle mesh, not NURBS.

- Brian

This Half version looks better, and uses zero. It can be Networked.

Scherk2WWalfToRotate01
_FxGraph3D log((1+u*u+2*u*cos(v)) / (1+u*u-2*u*cos(v))); log((1+u*u-2*u*sin(v)) / (1+u*u+2*u*sin(v))); 2*atan((2*u*u*sin(2*v)) / (u*u*u*u - 1));0;0.8;0;3.141592653589793;24;48;1;;;UV

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"nearly incomprehensible Weierstrass–Enneper parameterization"

From my perspective, what you have posted already looks pretty sophitiscated ;-)

Downloaded the last version- Thank you very much !!

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