Scherk's second minimal surface script
 1-12  13-32  33-34

Previous
Next
 From:  bemfarmer
6524.33 In reply to 6524.31 
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

EDITED: 24 Jul 2017 by BEMFARMER

  Reply Reply More Options
Post Options
Reply as PM Reply as PM
Print Print
Mark as unread Mark as unread
Relationship Relationship
IP Logged

Previous
 From:  TOM (SIRTOM)
6524.34 In reply to 6524.33 
"nearly incomprehensible Weierstrass–Enneper parameterization"

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

Downloaded the last version- Thank you very much !!
  Reply Reply More Options
Post Options
Reply as PM Reply as PM
Print Print
Mark as unread Mark as unread
Relationship Relationship
IP Logged
 

Reply to All Reply to All

 

 
 
Show messages:  1-12  13-32  33-34