How about a Gallery
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Schmiegel



Joined: 28 Nov 2009
Posts: 26

PostPosted: Wed May 05, 2010 10:29 pm    Post subject: Reply with quote

I agree, Taha,

I want one to climb inside! Confused

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

PostPosted: Fri May 07, 2010 10:00 pm    Post subject: Reply with quote

.. 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! Smile


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

PostPosted: Wed Jul 21, 2010 8:33 pm    Post subject: Inversion Reply with quote

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

PostPosted: Thu Jul 22, 2010 5:38 pm    Post subject: Reply with quote

hello all Smile

hi schmiegel, like it very much Very Happy

ciao
torolf
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Schmiegel



Joined: 28 Nov 2009
Posts: 26

PostPosted: Thu Jul 22, 2010 10:09 pm    Post subject: Reply with quote

Thank you Torolf!

Very much appreciated!

Cheers,
Florian
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inode



Joined: 27 Jan 2007
Posts: 127
Location: Austria

PostPosted: Tue Aug 03, 2010 4:10 pm    Post subject: Reply with quote

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
;

Wink 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

PostPosted: Wed Aug 04, 2010 9:56 am    Post subject: Reply with quote

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

PostPosted: Tue Nov 16, 2010 10:31 pm    Post subject: Not new - but needed to be done! Reply with quote

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

PostPosted: Thu Nov 25, 2010 11:41 pm    Post subject: 3D Printing still too expensive Reply with quote

Failed effort to make a real thing Smile

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

PostPosted: Sun Dec 12, 2010 10:53 pm    Post subject: Reply with quote

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

PostPosted: Wed Jan 19, 2011 11:35 am    Post subject: Reply with quote

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

PostPosted: Mon Feb 28, 2011 8:40 pm    Post subject: Gyroid Animation Reply with quote

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 Wink

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 Very Happy

Hope you enjoy as much as I did!
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nextstep
Site Admin


Joined: 06 Jan 2007
Posts: 538

PostPosted: Tue Mar 01, 2011 2:28 pm    Post subject: Reply with quote

Hi,
That's an awesome animated object Schmiegel and the textures are great too Razz
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 Very Happy
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Cheers,
Abderrahman
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Schmiegel



Joined: 28 Nov 2009
Posts: 26

PostPosted: Tue Mar 01, 2011 10:31 pm    Post subject: Reply with quote

Thank you Taha!,

I added it as my new signature!
I'm addicted to gyroids ...
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/* "the Gyroid man" h.c. Smile */
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Furan



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

PostPosted: Thu Mar 10, 2011 9:35 pm    Post subject: Reply with quote

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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