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Schmiegel

Joined: 28 Nov 2009
Posts: 26

 Posted: Wed May 05, 2010 10:29 pm    Post subject: 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!
Schmiegel

Joined: 28 Nov 2009
Posts: 26

 Posted: Fri May 07, 2010 10:00 pm    Post subject: .. 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
Schmiegel

Joined: 28 Nov 2009
Posts: 26

Posted: Wed Jul 21, 2010 8:33 pm    Post subject: Inversion

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
jotero

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

 Posted: Thu Jul 22, 2010 5:38 pm    Post subject: hello all hi schmiegel, like it very much ciao torolf_________________Kontakte
Schmiegel

Joined: 28 Nov 2009
Posts: 26

 Posted: Thu Jul 22, 2010 10:09 pm    Post subject: Thank you Torolf! Very much appreciated! Cheers, Florian
inode

Joined: 27 Jan 2007
Posts: 127
Location: Austria

Posted: Tue Aug 03, 2010 4:10 pm    Post subject:

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 ;

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!
Schmiegel

Joined: 28 Nov 2009
Posts: 26

 Posted: Wed Aug 04, 2010 9:56 am    Post subject: 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
Schmiegel

Joined: 28 Nov 2009
Posts: 26

 Posted: Tue Nov 16, 2010 10:31 pm    Post subject: Not new - but needed to be done! 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
Schmiegel

Joined: 28 Nov 2009
Posts: 26

 Posted: Thu Nov 25, 2010 11:41 pm    Post subject: 3D Printing still too expensive 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!
Phil999

Joined: 08 Feb 2007
Posts: 24

 Posted: Sun Dec 12, 2010 10:53 pm    Post subject: it broke from the varnish, not from the carving? That is really bad luck. But it still looks great.
Schmiegel

Joined: 28 Nov 2009
Posts: 26

 Posted: Wed Jan 19, 2011 11:35 am    Post subject: Thanks Phil, yes, too bad. The stone was very brittle and the fluid additionally weakened the object by soaking into the cracks.
Schmiegel

Joined: 28 Nov 2009
Posts: 26

 Posted: Mon Feb 28, 2011 8:40 pm    Post subject: Gyroid Animation 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!
nextstep

Joined: 06 Jan 2007
Posts: 538

Posted: Tue Mar 01, 2011 2:28 pm    Post subject:

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
Schmiegel

Joined: 28 Nov 2009
Posts: 26

 Posted: Tue Mar 01, 2011 10:31 pm    Post subject: Thank you Taha!, I added it as my new signature! I'm addicted to gyroids ..._________________/* "the Gyroid man" h.c. */
Furan

Joined: 05 Oct 2010
Posts: 64
Location: Prague, Czech Republic

Posted: Thu Mar 10, 2011 9:35 pm    Post subject:

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]

Yet another look: A hollow plasma Gyroid:
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