Catalan surface:

 
Post new topic   Reply to topic    K3DSurf forum Forum Index -> Mathematical Models Collection
View previous topic :: View next topic  
Author Message
nextstep
Site Admin


Joined: 06 Jan 2007
Posts: 538

PostPosted: Thu Nov 20, 2014 3:11 am    Post subject: Catalan surface: Reply with quote

Hi all,
Catalan's minimal surface is a minimal surface originally studied by Eugène Charles Catalan in 1855.
It has the special property of being the minimal surface that contains a cycloid as a geodesic. It is also swept out by a family of parabolae.



#MathMod script:
Quote:
{
"Param3D": {
"Name": [
"Catalan"
],
"Component": [
"Catalan"
],
"Fx": [
"u-sin(u)*cosh(v)"
],
"Fy": [
"1-cos(u)*cosh(v)"
],
"Fz": [
"4*sin(1/2*u)*sinh(v/2)"
],

"Umax": [
"3*pi"
],
"Umin": [
"-pi"
],
"Vmax": [
"2"
],
"Vmin": [
"-2"
]
}
}

_________________
Cheers,
Abderrahman
Back to top View user's profile Send private message
Display posts from previous:   
Post new topic   Reply to topic    K3DSurf forum Forum Index -> Mathematical Models Collection All times are GMT
Page 1 of 1

 
Jump to:  
You cannot post new topics in this forum
You cannot reply to topics in this forum
You cannot edit your posts in this forum
You cannot delete your posts in this forum
You cannot vote in polls in this forum


2005 Powered by phpBB © 2001, 2005 phpBB Group


Start Your Own Video Sharing Site

Free Web Hosting | Free Forum Hosting | FlashWebHost.com | Image Hosting | Photo Gallery | FreeMarriage.com

Powered by PhpBBweb.com, setup your forum now!
For Support, visit Forums.BizHat.com