| View previous topic :: View next topic |
| Author |
Message |
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 |
|
| Back to top |
  |
 |
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 |
|
| Back to top |
|
|
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 y-direction
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 |
|
| Back to top |
|
|
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 |
|
| Back to top |
   |
|
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 z-direction
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 |
|
| Back to top |
|
|
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.evolution-of-genius.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 |
|
| Back to top |
|
|
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.evolution-of-genius.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 |
|
| Back to top |
|
|
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.evolution-of-genius.de/3d/Data/page.htm?73,0
Can this "twisted torus" be described in a surface formula for K3DSurf ?
Gerd |
|
| Back to top |
|
|
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 |
|
| Back to top |
|
|
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.evolution-of-genius.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 |
|
| Back to top |
|
|
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...
 |
|
| Back to top |
|
|
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? |
|
| Back to top |
|
|
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))
+0.05-exp(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*z-0.2))- exp(-10.0*(x*x+y*y+z*z-0.15))"
],
"Name": [ "WonderTree" ],
"Xmax": [ " 2" ],
"Xmin": [ "-2 " ],
"Ymax": [ " 2" ],
"Ymin": [ "-2 " ],
"Zmax": [ " 2" ],
"Zmin": [ "-2 " ]
}
}
|
 WonderTree by taha_ab, on Flickr
_________________
Cheers,
Abderrahman |
|
| Back to top |
|
|
inode
Joined: 27 Jan 2007
Posts: 127
Location: Austria
|
|
| Back to top |
|
|
|
