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Fractal Art => Images Showcase (Rate My Fractal) => Topic started by: David Makin on March 29, 2010, 11:08:29 PM




Title: Silver Eggs for Easter
Post by: David Makin on March 29, 2010, 11:08:29 PM
Happy Easter to all (whether you celebrate or not).

"Silver Eggs"

(http://fc01.deviantart.net/fs70/f/2010/087/5/9/Silver_Eggs_by_MakinMagic.jpg) (http://makinmagic.deviantart.com/art/Silver-Eggs-158715776)

If no image above just click the link.


Title: Re: Silver Eggs for Easter
Post by: Pauldelbrot on March 29, 2010, 11:39:47 PM
What is it, the z33 Mandelbulb? A box/bulb hybrid? Something like that?


Title: Re: Silver Eggs for Easter
Post by: David Makin on March 30, 2010, 02:53:34 AM
What is it, the z33 Mandelbulb? A box/bulb hybrid? Something like that?

It's actually more of an IFS/Juliabulb hybrid, rendered on each iteration as follows:

1. Choose which of a set of affine transforms to perform based on translation and scale (in this case one of 7).
2. Apply chosen transform.
3. Apply (any) escape-time formula - in this case plain Julia for z^8(+zero) using the "-sine" triplex.
4. Transform back using the inverse of the transform applied in step 2.

That's it, the only extra things are to adjust your running derivative for DE by the scale of the transform used in step 2 and by the inverse scale in step 4, though in fact that's only actually strictly necessary in my code for if the "normal" formula used is a Mandelbulb rather than a Juliabulb since for plain z^p+c Juliabulbs all that happens is the two scales from the transforms cancel out.

This is the same object:

"Mandelbulb Virus"

(http://fc01.deviantart.net/fs71/f/2010/083/4/b/Mandelbulb_Virus_by_MakinMagic.jpg) (http://makinmagic.deviantart.com/art/Mandelbulb-Virus-158279841)


Title: Re: Silver Eggs for Easter
Post by: David Makin on March 30, 2010, 02:57:40 AM
I should add that "Silver Eggs" was solid based on smooth iteration (potential) isosurface but "Mandelbulb Virus" was solid based on DE isosurface (just in case anyone's wondering why the shapes are slightly different).


Title: Re: Silver Eggs for Easter
Post by: kram1032 on March 30, 2010, 01:14:20 PM
nice stuff :D


Title: Re: Silver Eggs for Easter
Post by: Nahee_Enterprises on March 30, 2010, 02:54:13 PM
Happy Easter to all (whether you celebrate or not).
    "Silver Eggs" 

This is a very nice image!!!    :)

But the "eggs" appear to be wrapped up within some elaborately decorated mesh netting.  Like little egg stockings or sacks.  Interesting effect.
 


Title: Re: Silver Eggs for Easter
Post by: David Makin on March 30, 2010, 08:27:59 PM
Happy Easter to all (whether you celebrate or not).
    "Silver Eggs" 

This is a very nice image!!!    :)

But the "eggs" appear to be wrapped up within some elaborately decorated mesh netting.  Like little egg stockings or sacks.  Interesting effect.
 


More like detailed studding than a mesh, here's some  detail from the full-size render:

(http://www.fractalforums.com/gallery/1/141_30_03_10_8_26_37.jpeg)


Title: Re: Silver Eggs for Easter
Post by: KRAFTWERK on March 31, 2010, 09:45:08 AM
As I already said on DA, beautiful David!

Even more beautiful when zoomed to the details
Zoom in some more... please...   O0


Title: Re: Silver Eggs for Easter
Post by: Nahee_Enterprises on April 01, 2010, 07:06:57 PM

But the "eggs" appear to be wrapped up within some elaborately decorated mesh netting.  
Like little egg stockings or sacks.  Interesting effect.

More like detailed studding than a mesh, here's some detail from the full-size render

Don't get me wrong, I really do like the image and the way it came out.  But actually, I should have said within a crocheted covering instead of netting, something like the following:

  (http://www.Nahee.com/Stuff/CrochetedItems.png)
   http://www.Nahee.com/Stuff/CrochetedItems.png (http://www.Nahee.com/Stuff/CrochetedItems.png)