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Schmiegel
Joined: 28 Nov 2009 Posts: 26
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Posted: Wed May 05, 2010 10:29 pm Post subject: |
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I agree, Taha,
I want one to climb inside!
But I'm a patient and humble guy so I continue to play around in virtuality:
GyroMorel
This is a Gyroid that was grown in a warped 3D space. I have added a radial function to stretch it depending on the distance to the origin.
I love the Gyroid! |
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Schmiegel
Joined: 28 Nov 2009 Posts: 26
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Posted: Fri May 07, 2010 10:00 pm Post subject: |
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.. did I already state that I love Gyroids (btw, sounds like "Aroids" which I love too! - especially the big ones)
A wild thing - gyroids are clipped by limiting spheres
Chaotikum
Something I love - crosseye stereoscopic:
Both are based upon warped gyroids. Warping was done again based upon the distance from origin - think this kind of modification offers much to explore!
Last edited by Schmiegel on Wed Jul 21, 2010 8:35 pm; edited 1 time in total |
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Schmiegel
Joined: 28 Nov 2009 Posts: 26
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Posted: Wed Jul 21, 2010 8:33 pm Post subject: Inversion |
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An inverted Bone style Gyroid
To avoid all of the infinity to gather around the origin it simply was clipped away using a limiting term.
This is not the exact formula for the object but an acceptable and improvable set to start with - if you are familiar with Gyroids ...
Code: | (cos(x / (0.02 * (x^2+y^2+z^2))) * sin(y / (0.02 * (x^2+y^2+z^2)))
+cos(y / (0.02 * (x^2+y^2+z^2))) * sin(z / (0.02 * (x^2+y^2+z^2)))
+cos(z / (0.02 * (x^2+y^2+z^2))) * sin(x / (0.02 * (x^2+y^2+z^2)))+1.0)
-0.1*(1-0.016*((x^2+y^2+z^2)- 10/((0.35* x)^2+(0.35* y)^2+(0.35* z)^2)))
-0.03 |
Box values of 19 are Ok
Enjoy
Last edited by Schmiegel on Wed Aug 04, 2010 9:45 am; edited 1 time in total |
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jotero
Joined: 27 Jan 2007 Posts: 153 Location: Germany Hannover
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Posted: Thu Jul 22, 2010 5:38 pm Post subject: |
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hello all
hi schmiegel, like it very much
ciao
torolf _________________ Kontakte |
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Schmiegel
Joined: 28 Nov 2009 Posts: 26
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Posted: Thu Jul 22, 2010 10:09 pm Post subject: |
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Thank you Torolf!
Very much appreciated!
Cheers,
Florian |
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inode
Joined: 27 Jan 2007 Posts: 127 Location: Austria
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Posted: Tue Aug 03, 2010 4:10 pm Post subject: |
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Hi Florian
Inspired from your Gyroid formula I created a new variant...
And here it is....
Code: | Name: PG_QuattroGyroid1
/* Isosurface: PG_QuattroGyroid1 8/2010 Gerd Platl */
F(): cos(x/(0.02*(x^4+y^4+z^4))) * sin(y/(0.02*(x^4+y^4+z^4)))
+ cos(y/(0.02*(x^4+y^4+z^4))) * sin(z/(0.02*(x^4+y^4+z^4)))
+ cos(z/(0.02*(x^4+y^4+z^4))) * sin(x/(0.02*(x^4+y^4+z^4)))
+ 1.2*(x*x+y*y+z*z)
- 4.5
[x]: -2.2 , 2.2
[y]: -2.2 , 2.2
[z]: -2.2 , 2.2
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Gerd (flickr images... http://www.flickr.com/photos/flisp3d/)
PS. Because of your rendered picture are really beautiful I corrected some links to your flickr images except one. Maybe this one doen't exist any more. Or do you have some working link?
PPS: Taha, I think also that a gallery with interesting surface images would be really a good idea! |
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Schmiegel
Joined: 28 Nov 2009 Posts: 26
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Posted: Wed Aug 04, 2010 9:56 am Post subject: |
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Thank you Gerd!
So it wasn't a flickr tool to reduce traffic ... I have replaced the missing image.
The cubical distortion introduced in PG_QuattroGyroid1 is a very interesting effect!
I think there is lots to explore with carefully distorted gyroids ...!
Btw: I ordered one of my isosurface objects from a Rapid Prototyping service - they can become real!
See http://www.shapeways.com/forum/index.php?t=msg&th=3084&start=0&S=413947c47884332fb3537b6ebee41e2f
Cheers,
Florian |
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Schmiegel
Joined: 28 Nov 2009 Posts: 26
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Posted: Tue Nov 16, 2010 10:31 pm Post subject: Not new - but needed to be done! |
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Rather about shaders, not about new surfaces.
However this object still has K3DSurf roots - so I hope it's welcome here -
Inverted Bone Style Gyroid, Jade style, crosseye 3D (a bit extreme - amateur stuff):
This was rendered in Blender using the Sub Surface Scattering shader - a shader simulating non transparent but translucent materials like milk, or marble, etc.
Last edited by Schmiegel on Thu Nov 25, 2010 11:49 pm; edited 1 time in total |
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Schmiegel
Joined: 28 Nov 2009 Posts: 26
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Posted: Thu Nov 25, 2010 11:41 pm Post subject: 3D Printing still too expensive |
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Failed effort to make a real thing
A (Thingy = Torus - Möbius Strip) carved from steatite. Broken after I applied a varnish to finish the object surface :-/
Too bad! Well, was fun anyway!
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Phil999
Joined: 08 Feb 2007 Posts: 24
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Posted: Sun Dec 12, 2010 10:53 pm Post subject: |
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it broke from the varnish, not from the carving? That is really bad luck.
But it still looks great. |
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Schmiegel
Joined: 28 Nov 2009 Posts: 26
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Posted: Wed Jan 19, 2011 11:35 am Post subject: |
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Thanks Phil,
yes, too bad.
The stone was very brittle and the fluid additionally weakened the object by soaking into the cracks. |
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Schmiegel
Joined: 28 Nov 2009 Posts: 26
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Posted: Mon Feb 28, 2011 8:40 pm Post subject: Gyroid Animation |
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K3DSurf allows to animate isosurfaces using a parameter. That's damn cool! I just was missing some texturing and lighting options and with complexity increasing the frame rate drops a bit
So I've tried to animate the beloved gyroid - a plain one and an inverted one.
Animation along <1,1,1> (the trigonal symmetry axis).
See me
... alife here http://vimeo.com/20417412
Find the plain gyroid next to it - it's a digital lava lamp
Hope you enjoy as much as I did! |
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nextstep Site Admin
Joined: 06 Jan 2007 Posts: 539
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Posted: Tue Mar 01, 2011 2:28 pm Post subject: |
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Hi,
That's an awesome animated object Schmiegel and the textures are great too
Quote: | So I've tried to animate the beloved gyroid |
I think that from your work and addiction to this great mathematical object, you deserve to be called : the Gyroid man _________________ Cheers,
Abderrahman |
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Schmiegel
Joined: 28 Nov 2009 Posts: 26
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Posted: Tue Mar 01, 2011 10:31 pm Post subject: |
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Thank you Taha!,
I added it as my new signature!
I'm addicted to gyroids ... _________________ /* "the Gyroid man" h.c. */ |
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Furan
Joined: 05 Oct 2010 Posts: 64 Location: Prague, Czech Republic
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Posted: Thu Mar 10, 2011 9:35 pm Post subject: |
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It's indeed a beautiful object. I slightly corrected the middle part, so it's got now a limited complexity:
Code: |
rho(x,y,z)=3+50/(1+(sqrt(x*x+y*y+z*z)+1)^2)
F(x,y,z)=
cos(x*rho(x,y,z))*sin(y*rho(x,y,z))
+cos(y*rho(x,y,z))*sin(z*rho(x,y,z))
+cos(z*rho(x,y,z))*sin(x*rho(x,y,z))
+2-16/(16+x^4+y^4+z^4)=0
x: [-2.0 , 2.0]
y: [-2.0 , 2.0]
z: [-2.0 , 2.0]
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Yet another look: A hollow plasma Gyroid:
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