Re: Orbit Traps 3D

Hi,

I am currently working on a formula for Ultrafractal that does this - not
just for "solid on orbit trap" but also implimenting solid based on other
conditions.

You can see one of the "solid on orbit trap" results here:

http://www.deviantart.com/view/29854835/

Note that it's best to download the file and view it full-screen in Animshop
or whatever.

bye
Dave

<caos.snow@xxxxxxxxx> wrote in message
news:1153736048.399698.282650@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
Hi. As you know "orbit traps" is the key algorithm to all those
beautiful UltraFractal pictures. The idea is simple, define an object
in the complex plane (a point, a circle, another fractal) and see how
the orbit of the actual starting point relates to the shape. For
example, define a point and choose the closest distance of the orbit to
that point to index into the color table (something rudementarily
similar was implemented in Fractint, called epsilon-cross)

I quickly tried the same idea in 3D. I made few very-low-quallty
pictures of the experiments:

http://rgba.scenesp.org/iq/trastero/ot3d.jpg

(note that the image is bigger than your screen, so make sure your
browser doesn't scale it down). Instead of taking a color for each
voxel (3d pixel), what I did in this pictures is to make the space
solid in the positions where the orbit goes inside one of the traps.

From top to bottom, first 4 pictures are a point and cylinder orbit
traps in a Julia set. The last two images have a sinus orbit trap.

This is OpenGL (you can explore the Julias in realtime). With a
raytracer all this could become more interesting, by assigning
different volumetric materials according to the relation between the
orbit and trap, and making a nice traslucent Julia set (with subsurface
scattering). Anyway, just an attempt to do something different to all
those boring 3D Julia sets we have seen before.

Iñigo Quilez


.

Relevant Pages

  • Orbit Traps 3D
    ... beautiful UltraFractal pictures. ... the orbit of the actual starting point relates to the shape. ... solid in the positions where the orbit goes inside one of the traps. ... and making a nice traslucent Julia set (with subsurface ...
    (sci.fractals)
  • Re: Lying ignorant guskz refuses to look at the pictures
    ... Look at the pictures. ... are donuts and Keplerian elliptical orbits. ... "a donut with two blobs" bears much resemblance to ... a Keplerian orbit. ...
    (sci.physics.relativity)
  • Re: Exploration
    ... enough fuel to break back down to go into orbit of one of the 3 suns ... could go into orbit around it and send pictures back to us. ... also send mini-probes down to the planet for pictures and analysis. ...
    (sci.space.policy)
  • Re: Lying ignorant guskz refuses to look at the pictures
    ... Look at the pictures. ... are donuts and Keplerian elliptical orbits. ... Certainly looks like a tasy orange donut with a blob above and below it. ... a Keplerian orbit. ...
    (sci.physics.relativity)
  • Re: Is Google on glue again
    ... to take pictures from orbit. ... Percival Lowell name was in alt text for the picture, so the referrence was obvious. ... I wonder if the date of getting into the orbit was not selected to be March 13th just in tribute to Lowell. ...
    (alt.internet.search-engines)