New IsoSurfaces...
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inode



Joined: 27 Jan 2007
Posts: 127
Location: Austria

PostPosted: Mon Mar 19, 2007 1:58 pm    Post subject: New IsoSurfaces... Reply with quote

"PG_Ring_1"
exploring another surface I got this one for a ring (which is not a torus!) ...
Code:
Name: PG_Ring_1
/* Isosurface: PG_Ring_1   4/2007  Gerd Platl */
F(): x*x+y*y+z*z+6/(x*x+y*y+0.5*z*z)-5
[x]: -2 , 2
[y]: -2 , 1
[z]: -0.45 , 0.45
;




Last edited by inode on Sun Dec 09, 2007 7:55 am; edited 3 times in total
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inode



Joined: 27 Jan 2007
Posts: 127
Location: Austria

PostPosted: Fri Mar 23, 2007 9:08 am    Post subject: Reply with quote

C8 surface
Surface of degree 8, with 168 isolated singular points.
Code:
Name: PG_C8
/* Isosurface: PG_C8   3/2007  Gerd Platl */
F(): (8*x*x*(x*x-1) + 1)^2 + (8*y*y*(y*y-1) + 1)^2 + (8*z*z*(z*z-1) + 1)^2 - 1
[x]: -1, 1
[y]: -1, 1
[z]: -1, 1
;



Show morhing using "t" with this formula:
Code:
(8*x*x*(x*x-1) + 1)^2 + (8*y*y*(y*y-1) + 1)^2 + (8*z*z*(z*z-1) + 1)^2 - 1.6+1.5*t


Last edited by inode on Wed Aug 26, 2009 9:30 am; edited 6 times in total
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nextstep
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Joined: 06 Jan 2007
Posts: 538

PostPosted: Mon Mar 26, 2007 3:11 am    Post subject: Reply with quote

Quote:
C8 surface
Surface of degree 8, with 168 isolated singular points.

Hi all,
Waw Gerd Shocked ...so beautiful surface and
the animation is too cool... Thanks for sharing Very Happy
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Abderrahman
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inode



Joined: 27 Jan 2007
Posts: 127
Location: Austria

PostPosted: Sat May 12, 2007 11:49 am    Post subject: Starship_1 Reply with quote

"PG_Starship_1"

Code:
/* Isosurface:  PG_Starship_1    5/2007  Gerd Platl */
z^4*x^4+2*z^6*x^2-1*z^4*x^2*y^2
+2*z^6*y^2+2*z^4*y^4-6*z^4*x^2
-6*z^4*y^2-10*x^2*y^2*z^2+15*x^2*y^2-1
[x]: -5 , 5
[y]: -5 , 5
[z]: -3 , 3
;




Last edited by inode on Wed Jan 02, 2008 11:36 pm; edited 4 times in total
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inode



Joined: 27 Jan 2007
Posts: 127
Location: Austria

PostPosted: Sat May 12, 2007 11:57 am    Post subject: new Isosurface: TriAmboss_1 Reply with quote

PG_TriAmboss_1

Code:
Name: PG_TriAmboss_1
/* Isosurface:   PG_TriAmboss_1   5/2007  Gerd Platl */
F(): ((x*x+y*y)^2/2.5-x*(x*x-3*y*y))^3+z*z-1
[x]: -2.0 , 2.7
[y]: -2.4 , 2.4
[z]: -2.4 , 2.4
;



"TriAmboss_1"


Last edited by inode on Sun Dec 30, 2007 9:11 am; edited 2 times in total
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inode



Joined: 27 Jan 2007
Posts: 127
Location: Austria

PostPosted: Sat May 12, 2007 12:28 pm    Post subject: SchwartzRing_01 Reply with quote

Code:
/* Isosurface:   SchwartzRing_01   5/2007  Mr.Pix */
(cos(x) + cos(y) + cos(z))
*((cos(x + sin(x)/4)
 + cos(y + sin(y)/4)
 + cos(z + sin(z)/4)))
 +0.08*pow(sin((y*y)) +sin((x*x)) +sin((z*z)),2)
[x]: -3 , 3
[y]: -3 , 3
[z]: -3 , 3



"SchwartzRing_01"


Last edited by inode on Sun Dec 09, 2007 8:19 am; edited 2 times in total
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inode



Joined: 27 Jan 2007
Posts: 127
Location: Austria

PostPosted: Sat May 12, 2007 12:31 pm    Post subject: Isosurface SchwartzRing_02 Reply with quote

Code:
/* Isosurface:   SchwartzRing_02   5/2007  Mr.Pix */
(cos(x) + cos(y) + cos(z))
*((cos(x + sin(x)/2)
  +cos(y + sin(y)/2)
  +cos(z + sin(z)/2)))
+0.4*pow(
 sin((y*y)+0.4*cos(x*z))
+sin((x*x)+0.4*cos(y*z))
+sin((z*z)+0.4*cos(x*y)),2)
[x]: -3 , 3
[y]: -3 , 3
[z]: -3 , 3



"SchwartzRing_02"


Last edited by inode on Sun Dec 09, 2007 8:20 am; edited 1 time in total
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nextstep
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Joined: 06 Jan 2007
Posts: 538

PostPosted: Sun May 13, 2007 8:56 pm    Post subject: Reply with quote

Hi all, Smile
Very beautiful models Gerd, I specially like Starship_1...very futuristic model Very Happy
How about making a single .k3ds file with all your models to be integrated with K3DSurf source code?
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Abderrahman
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inode



Joined: 27 Jan 2007
Posts: 127
Location: Austria

PostPosted: Wed Jun 06, 2007 2:30 pm    Post subject: Isosurface PG_DiamondCage_1 Reply with quote

Code:
Name: PG_DiamondCage_1
/* Isosurface: PG_DiamondCage_1 6/2007 Mr.Pix */
F(): 100*(x^22+y^22+z^22 -(x^22+y^22+z^22)^2) -31+8*(cos(20*x) +cos(20*y) +cos(20*z))
[x]: -1 , 1
[y]: -1 , 1
[z]: -1 , 1
;



"PG_DiamondCage_1"


Last edited by inode on Sun Dec 30, 2007 9:13 am; edited 3 times in total
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inode



Joined: 27 Jan 2007
Posts: 127
Location: Austria

PostPosted: Wed Jun 06, 2007 2:31 pm    Post subject: Isosurface PG_Alienship_1 Reply with quote

Code:
Name: PG_Alienship_1
/* Isosurface: PG_Alienship_1 6/2007 Mr.Pix */
F(): cos(y) + 2*cos(x)*cos(z)
-(cos(x) + cos(y) + cos(z))
*((cos(x + sin(x)/2.3)
 +cos(y + sin(y)/2.3)
 +cos(z + sin(z)/2.3)))
-0.01*(2*y*y+z*z+x*x)+2.05
[x]: -20 , 20
[y]: -14 , 14
[z]: -20 , 20
;



"PG_Alienship_1"


Last edited by inode on Sun Dec 09, 2007 8:22 am; edited 3 times in total
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inode



Joined: 27 Jan 2007
Posts: 127
Location: Austria

PostPosted: Wed Jun 06, 2007 2:36 pm    Post subject: Isosurface PG_Alienship_2 Reply with quote

Code:
Name: PG_Alienship_2
/* Isosurface:   PG_Alienship_2   6/2007  Mr.Pix */
F(): cos(y) +2*cos(x)*cos(z)
-(cos(x) + cos(y) + cos(z))
*((cos(x + sin(x)/2.2)
  +cos(y + sin(y)/2.2)
  +cos(z + sin(z)/2.2)))
-0.0008*(x^4+y^4+z^4)
[x]: -6 , 6
[y]: -7 , 7
[z]: -6 , 6
;



"PG_Alienship_2"


Last edited by inode on Sun Dec 09, 2007 8:23 am; edited 2 times in total
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inode



Joined: 27 Jan 2007
Posts: 127
Location: Austria

PostPosted: Wed Jun 06, 2007 2:50 pm    Post subject: Isosurface PG_Spacestation_1 Reply with quote

Code:
Name: PG_Spacestation_1
/* Isosurface:  Name: PG_Spacestation_1   6/2007  Mr.Pix */
F(): -(x^2+y^2+z^2)*10   +1000*(cos(z) +2*cos(x)*cos(y)    -(cos(x) +cos(y) +cos(z))
*((cos(x + sin(x)/2.3)    +cos(y + sin(y)/2.3)    +cos(z + sin(z)/2.3)))
-0.01*(0.1*x*x*y*y*z*z)+2)
[x]: -18, 18
[y]: -18, 18
[z]: -18, 18
;



"PG_Spacestation_1"


Last edited by inode on Sun Dec 09, 2007 8:23 am; edited 1 time in total
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inode



Joined: 27 Jan 2007
Posts: 127
Location: Austria

PostPosted: Wed Jun 06, 2007 3:06 pm    Post subject: Isosurface PG_Schwartz_Hedge_1 Reply with quote

Code:
Name: PG_Schwartz_Hedge_1
/* Isosurface:   Schwartz_Hedge_1   6/2007  Mr.Pix */
F(): cos(y) + 2*cos(x)*cos(z)
-(cos(x) + cos(y) + cos(z))
*((cos(x + sin(x)/2.2)
  +cos(y + sin(y)/2.2)
  +cos(z + sin(z)/2.2)))
-0.0007*y^4

[x]: -10 , 10
[y]: -7 , 7
[z]: -10 , 10
;



"PG_Schwartz_Hedge_1"

another nice view you'll get using this limits...
Code:
[x]: -2*pi , 2*pi
[y]: -7 , 7
[z]: -2*pi , 2*pi


Last edited by inode on Sun Dec 09, 2007 8:11 am; edited 4 times in total
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jotero



Joined: 27 Jan 2007
Posts: 153
Location: Germany Hannover

PostPosted: Sat Jun 09, 2007 5:11 am    Post subject: Reply with quote

WOW..... very good work Shocked

Code:
Name: Schwartz_Hedge_2
/* Isosurface:   Schwartz_Hedge_2   6/2007  Mr.Pix */
F(): cos(y) + 6*cos(x)*cos(z)-(cos(x) + cos(y) + cos(z))*((cos(x + sin(x)/2.2) +cos(y + sin(y)/2.2) +cos(z + sin(z)/2.2)))-0.0007*x+y^3
[x]: -10*3*pi/4 , 10*3*pi/4
[y]: -2 , 2
[z]: -10*3*pi/4 , 10*3*pi/4
;


ciao
torolf
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inode



Joined: 27 Jan 2007
Posts: 127
Location: Austria

PostPosted: Sun Nov 04, 2007 9:07 pm    Post subject: New IsoSurfaces... Reply with quote

some new surfaces...

Code:
Name: PG_SteinerSurface_1
/* Isosurface: PG_SteinerSurface_1 9/2007 Gerd */
F(): 2*x*y*z -(x*y)^2 -(x*z)^2 -(y*z)^2
[x]: -1 , 1
[y]: -1 , 1
[z]: -1 , 1
;



Code:
Name: PG_SteinerSkeleton_1
/* Isosurface: PG_SteinerSkeleton_1 11/2007 Gerd */
F(): 9.9*x*y*z - ((x*y)^2 + (x*z)^2 + (y*z)^2)
+0.9*(cos(8*x)*sin(8*y) +cos(8*y)*sin(8*z) +cos(8*z)*sin(8*x))
[x]: -5.7 , 6
[y]: -5.7 , 6
[z]: -5.7 , 6
Cnd: (x^2+y^2<1)|(y^2+z^2<1) |(z^2+x^2<1)
;



Code:
Name: PG_Hyper_Knife_1
/* Isosurface: PG_Hyper_Knife_1 11/2007 Gerd */
F(): 0.2 -(x*x + y - z*z)^2+(cos(x+sin(x)/8) +cos(y+sin(y)/8) +cos(z+sin(z)/8))
[x]: -3 , 3
[y]: -3 , 3
[z]: -3 , 3
Cnd: (x^2+y^2<1)|(y^2+z^2<1) |(z^2+x^2<1)
;



Code:
Name: PG_Isolator_1
/* Isosurface: PG_Isolator_1  11/2007 Gerd */
F(): 1 - (x*x+3)*(y*y+3)*(z*z+3) + 33*(x*y*z+0.96) + sin(x*y*z*11)
[x]: -2 , 2
[y]: -2 , 2
[z]: -2 , 2
;


Wink Gerd


Last edited by inode on Wed Jan 02, 2008 11:38 pm; edited 5 times in total
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