|
| View previous topic :: View next topic |
| Author |
Message |
inode
Joined: 27 Jan 2007
Posts: 127
Location: Austria
|
 Posted: Sun Feb 25, 2007 12:48 pm Post subject: Heart1 (implicit) |
 |
|
Hi all
every men should have it ...
| Code: | F(x,y,z,t) = (x*x+9/4*y*y+z*z-1)^3 - (x*x+9/80*y*y)*z^3 = 0
x [ -1.3, 1.3]
y [ -0.7, 0.7]
z [ -1.0, 1.3]
|
you can find a picture at...
http://mathworld.wolfram.com/HeartSurface.html
 |
|
| Back to top |
  |
 |
inode
Joined: 27 Jan 2007
Posts: 127
Location: Austria
|
| Posted: Sun Mar 04, 2007 8:50 am Post subject: |
|
|
Hi all
There is another formula for a heart like surface defined as parametric surface:
Heart2 (Another heart)
| Code: | X = 4*cos(v)*(sin(abs(u))^abs(u))*cos(u)*cos(v)*1.6
Y = 4*cos(v)*(sin(abs(u))^abs(u))*sin(u)*cos(v)
Z = 2*sin(v)
With U[ -pi, pi] And V[ -pi/2, pi/2] |
there you can find a picture too...
http://www.econym.demon.co.uk/isotut/real.htm#heart1
Last edited by inode on Wed Mar 07, 2007 2:22 pm; edited 3 times in total |
|
| Back to top |
|
|
nextstep
Site Admin
Joined: 06 Jan 2007
Posts: 539
|
| Posted: Mon Mar 05, 2007 4:59 am Post subject: |
|
|
Hi all,
Beautiful Gerd  .Are you using Pov-Ray to render your models ?
_________________
Cheers,
Abderrahman |
|
| Back to top |
|
|
inode
Joined: 27 Jan 2007
Posts: 127
Location: Austria
|
| Posted: Mon Mar 05, 2007 1:00 pm Post subject: |
|
|
Hi Taha
Yes, I am using POV-Ray 3.5 to render the functions because it is a free raytracer that can render Parametric and Algebraic Functions.
You will find a real great surface collection with all it's pov-ray-sources at
http://www.econym.demon.co.uk/isotut/maths.htm
This pages are created by Mike Williams und he has great tutorials how to create your own pov-ray-files!
Here an example for downloading
http://www.econym.demon.co.uk/isotut/maths.zip
first, because you need the file "param.inc" of it.
 Gerd
| Code: | //*********************************************************
// Persistence of Vision Ray Tracer Scene Description File
// File: surface_p0200.pov
// Vers: 3.5
// Desc: parametric surface: "Another Heart"
// Link: http://www.econym.demon.co.uk/isotut/real.htm
// Date: 05.March.2007
// Auth: Gerd Platl
//*********************************************************
#version 3.5;
#include "colors.inc"
#include "param.inc"
//-------------------------------------------
background { color White }
#declare CamLoc = < 2, 2, -26>;
camera { location CamLoc
look_at < 0, -pi/2, 0>
angle 25
}
light_source {CamLoc color Red*0.4}
light_source {<10, -15,-17> color White}
//-------------------------------------------
// parametric surface: "Another Heart"
// with U[-pi, pi] and V[-pi/2, pi/2]
#declare F1 = function(u,v) { 4*cos(v)* cos(v) * pow(sin(abs(u)), abs(u)+0.01) }
#declare Fx = function(u,v) { F1(u,v) * sin(u) }
#declare Fy = function(u,v) { F1(u,v) * cos(u) * -1.6 }
#declare Fz = function(u,v) { 2*sin(v) }
object {Parametric(Fx,Fy,Fz,<-pi,-pi/2>, <pi-0.001,pi/2>, 200,100,"")
pigment {rgb Red}
// pigment {uv_mapping checker rgb Red rgb Red*0.8 scale 0.1}
finish {phong 0.5 phong_size 10}
no_shadow
}
|
|
|
| Back to top |
|
|
|
|
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
|
