Enneper Surface Script 1-20  21-26

 From: bemfarmer 17 Feb 2014  (1 of 26)
 Here is a script to create Enneper minimal surfaces. The nearly identical parametric equations come from: https://sites.google.com/site/workofap/surface or http://rhino3.de/_develop/__v3_plugins/math/library.shtml The rhino math library is kind of like _FxGraph. Setting the Min Radius to a small value like 0.25 creates a hole in the middle. The Max Radius can be set a little more than 1.0. Network works to create a surface, when the radius is 1.0, with the "radial-ish" curves. Loft works to create a surface, when the radial-ish curves are not present. - Brian Attachments:

 From: Frenchy Pilou (PILOU) 17 Feb 2014  (2 of 26)
 Flowers before spring ! --- Pilou Is beautiful that please without concept! My Gallery

 From: wastzzz 17 Feb 2014  (3 of 26)
 Bellissimo!

 From: Frenchy Pilou (PILOU) 18 Feb 2014  (4 of 26)
 French version ;) http://moiscript.weebly.com/geacuteomeacutetries-par-bemfarmer.html EDITED: 18 Feb 2014 by PILOU

 From: Max Smirnov (SMIRNOV) 18 Feb 2014  (5 of 26)
 Great! Really cool script!

 From: TOM (SIRTOM) 24 Apr 2016  (6 of 26)
 6521.6 In reply to 6521.5 Hi, I am adding a link here http://www.indiana.edu/~minimal/maze/figures/planarenneper.jpg and the question how to achieve a planarenneper - is it generated with another formula or just a variation of the Bemfarmer-script ? EDITED: 24 Apr 2016 by SIRTOM

 From: bemfarmer 24 Apr 2016  (7 of 26)
 6521.7 In reply to 6521.6 Hi Tom, Based upon limited google-ing, apparently the "planar enneper" is a "Richmond_surface" combination of plane and enneper. for m=2, there is a real parametric expression here, which looks fairly simple: https://en.wikipedia.org/wiki/Richmond_surface I have not seen a javascript program for Weierstrass. :-) https://en.wikipedia.org/wiki/Weierstrass%E2%80%93Enneper_parameterization - Brian https://www.math.hmc.edu/~gu/curves_and_surfaces/surfaces/richmond.html EDITED: 24 Apr 2016 by BEMFARMER

 From: TOM (SIRTOM) 25 Apr 2016  (8 of 26)
 6521.8 In reply to 6521.7 "which looks fairly simple" Well "simple" is relative ;-) The simpliest, for me, will be to build it by hand and forget about this intimitating formulas :-)

 From: Ken (OKURO) 25 Apr 2016  (9 of 26)
 6521.9 In reply to 6521.1 First of all thank you for your fantastic contributions, simply great ! I tried to install the rhino math plugin,, download link: http://rhino3.de/_develop/__v3_plugins/math/MathForV5.zip but unfortunately the math library is missing and may be that also the VBscript libraries are missing ? I am wondering if you happen to know another source to download? Very many thanks, Ken

 From: bemfarmer 28 Apr 2016  (10 of 26)
 Here is a draft script of the Richmond surface, which has Enneper end near the center, and Planar end at the periphery. Order can be increased for more ruffles. Additional description is in the .js file. - Brian Attachments:

 From: TOM (SIRTOM) 1 May 2016  (11 of 26)
 6521.11 In reply to 6521.10 Have not been at the forum for a couple of days and coming back - guess what - just discovered that bemfarmer has come up with a new script !! Awesome Sunday surprise. And THANK YOU so much Mr bemfarmer for wiring up this nice little tool - I am amazed.

 From: TOM (SIRTOM) 2 Jun 2016  (12 of 26)
 6521.12 In reply to 6521.11 Hi. The enneper script by default generates curves with dimensions between 0 and around 3mm. I create lofts from them and these surfaces should fit with others of much larger scale (between 30 and 100 mm) So it would make work more fluid if I were able to create the enneper curves at a bigger / chosen scale. (increasing the "max" value wont help as this drastically changes the shape of the generated curve. My question here is : What do I have to insert in the script to create curves with a bigger radius, example 100 mm ? EDITED: 2 Jun 2016 by SIRTOM

 From: James (JFH) 2 Jun 2016  (13 of 26)
 6521.13 In reply to 6521.12 Tom, Not sure if this helps, but attached is a very simple .nod file for enneper generation that can be scaled. -James Attachments:

 From: mkdm 2 Jun 2016  (14 of 26)
 6521.14 In reply to 6521.13 Hi James, Thank's a lot! How much can be eclectic the MathArray Node made by Max ?!! It would be fantastic if almost every plugin written until now for Moi, could be rewritten for NodeEditor!!! Nice day, Marco (mkdm).

 From: TOM (SIRTOM) 2 Jun 2016  (15 of 26)
 6521.15 In reply to 6521.13 Thankyou James. Does the Nodeeitor work for V2 ?

 From: James (JFH) 2 Jun 2016  (16 of 26)
 6521.16 In reply to 6521.15 Tom, >> Does the Nodeeitor work for V2 ? I don't know, I'm using V3. I can't see why it wouldn't. Give it a go, it's great fun. Good Luck -James

 From: TOM (SIRTOM) 2 Jun 2016  (17 of 26)
 6521.17 In reply to 6521.16 Looks like an amazing tool - will have a look and hope to find instructions