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inode
Joined: 27 Jan 2007 Posts: 127 Location: Austria

Posted: Tue Mar 06, 2007 10:30 am Post subject: Gaudi's fantastic spires 


Hi all
Do you know the brilliant architect Antoni GAUDI i Cornet ?
He was creating many spires with fantastic varieties of shapes.
I think he would like my spires too!
Code:  function name = spire1 x^5+x^8+y^5+z^5+z^8(0.00017^(cos(2*x)*cos(2*y)+cos(2*y)*cos(2*z)+cos(2*z)*cos(2*x)))
[x]:4, 4
[y]:8, 8
[z]:4, 4 
Spire1 picture see https://www.flickr.com/search/?text=Surface_PG_Spire_1
Code:  function name = spire2
x^5+x^8+y^5+z^5+z^8(0.00017^(cos(3*x)*cos(3*y)+cos(3*y)*cos(3*z)+cos(3*z)*cos(3*x)))
[x]:4, 4
[y]:8, 8
[z]:4, 4 
Gerd
Last edited by inode on Thu Aug 24, 2017 7:53 pm; edited 4 times in total 

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nextstep Site Admin
Joined: 06 Jan 2007 Posts: 539

Posted: Tue Mar 06, 2007 11:09 pm Post subject: 


Hi all,
waw Gerd , really fantastic spires! _________________ Cheers,
Abderrahman 

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inode
Joined: 27 Jan 2007 Posts: 127 Location: Austria

Posted: Mon Mar 19, 2007 1:08 pm Post subject: 


If you reduce the peroidic gyroid function in ydirection
you'll get my socalled "Gyroid Hedge"...
Code:  Name: PG_GyroidHedge_1
/* Isosurface: PG_GyroidHedge_1 3/2007 Gerd Platl */
F(): 1.2 0.015*y*y cos(x)*sin(y) cos(y)*sin(z) cos(z)*sin(x)
0.05*(cos(2*x)*cos(2*y) cos(2*y)*cos(2*z) +cos(2*z)*cos(2*x))
[x]: 11 , 11
[y]: 5 , 5
[z]: 11 , 11
; 
And because a picture says more than 1000 words here the belonging PovRay3.5 picture...
"PG_GyroidHedge_1"
Last edited by inode on Sun Dec 30, 2007 1:03 pm; edited 3 times in total 

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

Posted: Tue Mar 20, 2007 10:24 am Post subject: 


WOW... nice demo data of k3dsurf
ciao
torolf _________________ Kontakte 

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nextstep Site Admin
Joined: 06 Jan 2007 Posts: 539

Posted: Tue Mar 20, 2007 9:37 pm Post subject: 


inode wrote:  If you reduce the peroidic gyroid function in zdirection
you'll get my socalled "Gyroid Hedge"...

Hi all,
Very impressive Gerd . I'm wondering if it's possible to make some "closed" shapes in all 3 directions (like the Isocaedron example in K3DSurf! It should be wonderful
PS: you can use this website for hosting your images :
http://imagehost.bizhat.com/ _________________ Cheers,
Abderrahman 

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inode
Joined: 27 Jan 2007 Posts: 127 Location: Austria

Posted: Thu Mar 22, 2007 1:09 pm Post subject: 


TaHa wrote:
Quote:  I'm wondering if it's possible to make some "closed" shapes in all 3 directions (like the Isocaedron example in K3DSurf! It should be wonderful Very Happy 
Yes, sure it's possible! If you combine a sphere formula with the gyroid grid you'll get this...
But in the meantime it's an "old hat" as torolf showed us with his examples at
http://www.evolutionofgenius.de/3d/Data/page.htm?164,0.
Gerd
PS. torolf I have a question. Can your "twisted torus buildings" be described in a surface formula for K3DSurf or are they only possible to describe within the maxwell render ?
pps. Thanx TaHa for your hint to upload picture to bizhat.
I have an account, but uploading ends for me mostly with an time out error message. I think the server is located somewhere on the west cost of florida...
Last edited by inode on Sun Dec 30, 2007 1:09 pm; edited 2 times in total 

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

Posted: Fri Mar 23, 2007 7:18 am Post subject: 


inode wrote:  TaHa wrote:
Quote:  I'm wondering if it's possible to make some "closed" shapes in all 3 directions (like the Isocaedron example in K3DSurf! It should be wonderful Very Happy 
Yes, sure it's possible! If you combine a sphere formula with the gyroid grid you'll get this...
But in the meantime it's an "old hat" as torolf showed us with his examples at
http://www.evolutionofgenius.de/3d/index.htm?144,0.
Gerd
PS. torolf I have a question. Can your "twisted torus buildings" be described in a surface formula for K3DSurf or are they only possible to describe within the maxwell render ?
pps. Thanx TaHa for your hint to upload picture to bizhat.
I have an account, but uploading ends for me mostly with an time out error message. I think the server is located somewhere on the west cost of florida... 
I need
R= radius of the emphasis circle of the producing surface
r = radius of the produced circle
Code:  (R2 − r2)2 + 2R2(z2 − x2 − y2) − 2r2(x2 + y2 + z2) + (x2 + y2 + z2)2 = 0 
ciao
torolf _________________ Kontakte 

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inode
Joined: 27 Jan 2007 Posts: 127 Location: Austria

Posted: Mon Mar 26, 2007 3:26 pm Post subject: 


Hi torolf
using (R2 − r2)2 + 2R2(z2 − x2 − y2) − 2r2(x2 + y2 + z2) + (x2 + y2 + z2)2 = 0
R= 8 r= 2
results in
(8−2)^2+2*8*(z^2−x^2−y^2) −2*2*(x^2+y^2 + z^2)+(x^2+y^2+z^2)^2
which is a simple torus.
What I mean is a twisted torus such as your example at...
http://www.evolutionofgenius.de/3d/Data/page.htm?73,0
Can this "twisted torus" be described in a surface formula for K3DSurf ?
Gerd 

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nextstep Site Admin
Joined: 06 Jan 2007 Posts: 539

Posted: Tue Mar 27, 2007 3:43 am Post subject: 


Gerd wrote:  Can this "twisted torus" be described in a surface formula for K3DSurf ? 
Hi all,
This shapes is derived from the Klein shape (see the "Klein_2" parametric example in K3DSurf). torolf is an expert in a great tool called "TopMod" which can make complicated shapes by reworking simple ones like those generated by K3DSurf (since TopMod can load OBJ files) _________________ Cheers,
Abderrahman 

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

Posted: Tue Mar 27, 2007 6:13 am Post subject: 


inode wrote:  Hi torolf
using (R2 − r2)2 + 2R2(z2 − x2 − y2) − 2r2(x2 + y2 + z2) + (x2 + y2 + z2)2 = 0
R= 8 r= 2
results in
(8−2)^2+2*8*(z^2−x^2−y^2) −2*2*(x^2+y^2 + z^2)+(x^2+y^2+z^2)^2
which is a simple torus.
What I mean is a twisted torus such as your example at...
http://www.evolutionofgenius.de/3d/Data/page.htm?73,0
Can this "twisted torus" be described in a surface formula for K3DSurf ?
Gerd 
bend is missing still
Code:  F():(x*cos(0.180*z)  y*sin(0.180*z))^100 + (x*sin(0.180*z) + y*cos(0.180*z))^100 + (z/4.3)^100 1
[x]:2, 2
[y]:2, 2
[z]:2*4.3*1, 2*4.3*1 
ciao
torolf _________________ Kontakte 

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inode
Joined: 27 Jan 2007 Posts: 127 Location: Austria

Posted: Sun Dec 30, 2007 1:32 pm Post subject: new spire 


Here's a new spire...


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denisc
Joined: 24 Apr 2013 Posts: 92

Posted: Sun Oct 05, 2014 10:45 am Post subject: 


hello
it's possible to print that ?
With witch printer you can do that? 

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nextstep Site Admin
Joined: 06 Jan 2007 Posts: 539

Posted: Sun Oct 05, 2014 1:17 pm Post subject: 


Hi all,
This blog gives,I think, an answer to your questions about the gyroid formula and how to print your model.
Quote:  {
"Iso3D": {
"Cnd": [ "" ],
"Component": [ "SpaceEgg" ],
"Description ": [ "SPACE EGG" ],
"Fxyz": [
"(cos(x) * sin(y) + cos(y) * sin(z) + cos(z) * sin(x))
*(cos(x) * sin(y) + cos(y) * sin(z) + cos(z) * sin(x))
+0.05exp(100.0*(x*x/64+y*y/64 + z*z/(1.6*64)*exp(0.4*z/8 )  1))"
],
"Name": [ "SpaceEgg" ],
"Xmax": [ " 8.5" ],
"Xmin": [ "8.5 " ],
"Ymax": [ " 8.5" ],
"Ymin": [ "8.5 " ],
"Zmax": [ " 17" ],
"Zmin": [ "8.5 " ]
}
}

SpaceEgg by taha_ab, on Flickr
Quote:  {
"Iso3D": {
"Cnd": [ "" ],
"Component": [ "WonderTree" ],
"Description ": [ "Wonder Tree" ],
"Fxyz": [
"cos(4.0*x/(x*x+y*y+z*z+0.0001))*sin(4.0*y/(x*x+y*y+z*z+0.0001))+ cos(4.0*y/(x*x+y*y+z*z+0.0001))*sin(4.0*z/(x*x+y*y+z*z+0.0001))+ cos(4.0*z/(x*x+y*y+z*z+0.0001))*sin(4.0*x/(x*x+y*y+z*z+0.0001))+ exp(0.1*(x*x+y*y+z*z0.2)) exp(10.0*(x*x+y*y+z*z0.15))"
],
"Name": [ "WonderTree" ],
"Xmax": [ " 2" ],
"Xmin": [ "2 " ],
"Ymax": [ " 2" ],
"Ymin": [ "2 " ],
"Zmax": [ " 2" ],
"Zmin": [ "2 " ]
}
}

WonderTree by taha_ab, on Flickr _________________ Cheers,
Abderrahman 

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inode
Joined: 27 Jan 2007 Posts: 127 Location: Austria


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