Buddhi


« Reply #270 on: October 03, 2009, 03:55:46 PM » 

Wow! Wonderful rendering! Lycium, did you render this using raytracing with radiosity? Final effect is amusing. It is worth waiting for it whole day.



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lycium


« Reply #271 on: October 03, 2009, 04:02:13 PM » 

thanks yes, it has global illumination with unlimited number of light bounces. the fractal iteration is done in double precision to 8 iterations, so it takes a very long time to compute!



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David Makin


« Reply #272 on: October 04, 2009, 02:01:57 AM » 

finally, after a day of rendering:
I couldn't resist doing something similar, so here's a slightly different view of a very simple crater lake but just plain Phong using 2 remote light sources  one to get the shadows and the other a source from the camera direction to get pseudoglobal illumination. Resized to 1280*960 from the original rendered on my 3GHz P4HT in doublethreaded mode @3840*2880 in 3hrs 7mins. If no image above or to see the full 1280*960 version then go here: http://makinmagic.deviantart.com/art/CraterLake139108178


« Last Edit: October 04, 2009, 02:23:23 AM by David Makin »

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twinbee


« Reply #273 on: October 04, 2009, 02:56:33 PM » 

Good stuff above  like the perspectives. Karl, you posted the below earlier on in the thread  do you know the equivalent for the power 3 formula? if( abs(y) < really_small_value ) newx = x*xz*z newy = 0 newz = 2*z*sqrt(x*x) else other code


« Last Edit: October 04, 2009, 05:05:16 PM by twinbee »

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Karl131058
Forums Freshman
Posts: 18


« Reply #275 on: October 05, 2009, 08:49:02 AM » 

@twinbee:
Hi Dan,
Thats easy to do: To get rid of that notreallyexisting pole on the zaxis you simply set y=0 in the formulae, that gives: if( abs(y) < really_small_value ) newx = ( x^3  0 ) * ( 3*z^2  x^2  0 ) / ( x^2 + 0 ) = x*( 3*z^2  x^2 ) newy = 0 newz = z * ( z^2  3*x^2 ) else (other formulae) endif
That's all...
Hope that helps, have fun
Karl



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bib


« Reply #276 on: October 05, 2009, 08:32:01 PM » 

is it a bird is it a plane? Nice work



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Between order and disorder reigns a delicious moment. (Paul Valéry)



David Makin


« Reply #277 on: October 05, 2009, 11:10:25 PM » 

Hi all, finally got around to being patient enough to get a pretty decent animation of the degree 4:



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David Makin


« Reply #278 on: October 05, 2009, 11:19:27 PM » 

Hi Paul  is that animated by just varying the 4th dimension coordinate ? If so you may get a more interesting animation by rotating the 3rd spatial axis as a line from the 3rd fractal axis to the 4th fractal axis (i.e. as a line in the j,k plane through 90 degrees from the j axis to the k axis).



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bugman


« Reply #279 on: October 05, 2009, 11:54:42 PM » 

Hi Paul  is that animated by just varying the 4th dimension coordinate ? If so you may get a more interesting animation by rotating the 3rd spatial axis as a line from the 3rd fractal axis to the 4th fractal axis (i.e. as a line in the j,k plane through 90 degrees from the j axis to the k axis). It is a 3D "slice" of the 4D object starting from w=0, and then rotating to z=0, then rotating to y=0, then rotating to x=0, and finally rotating back to w=0 again.



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David Makin


« Reply #280 on: October 06, 2009, 12:00:55 AM » 

Hi Paul  is that animated by just varying the 4th dimension coordinate ? If so you may get a more interesting animation by rotating the 3rd spatial axis as a line from the 3rd fractal axis to the 4th fractal axis (i.e. as a line in the j,k plane through 90 degrees from the j axis to the k axis). It is a 3D "slice" of the 4D object starting from w=0, and then rotating to z=0, then rotating to y=0, then rotating to x=0, and finally rotating back to w=0 again. Oh ! OK  I guess I should have investigated first



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bugman


« Reply #282 on: October 07, 2009, 05:49:48 PM » 

Here are some higher power variations of Twinbee's Mandelbrot set using the following formula: {x,y,z}^n = r^n{cos(n*theta)cos(n*phi),sin(n*theta)cos(n*phi),sin(n*phi)} r=sqrt(x²+y²+z²), theta=atan(y/x), phi=atan(z/sqrt(x²+y²))
These higher order 3D Mandelbrot sets were created using the same formula as above, except the sign of the zcomponent is switched (the rotation about the yaxis is reversed): {x,y,z}^n = r^n{cos(n*theta)cos(n*phi),sin(n*theta)cos(n*phi),sin(n*phi)} r=sqrt(x²+y²+z²), theta=atan(y/x), phi=atan(z/sqrt(x²+y²))



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twinbee


« Reply #284 on: October 07, 2009, 07:21:48 PM » 

Like the anim! (still want a zoom in tho). Interesting image too  didn't realise there were big gaping holes in the object as shown. Curious... Lycium, is that a special kind of lighting used to create the more 'polarized' look (black/white), rather than for more grey shades? It'll be interesting to see some (apx.) pow 20 renders of this thing



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