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Tom Melly wrote:
> > nxutnfugnuft nfqujnwur zkmusjrnug fnqsunj unfwq
> zl oenva vf oyrrqvat bhg bs zl rnef - vf guvf abezny?
Yes.
--
Ken Tyler
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Wasn't it Simon Lemieux who wrote:
>> Don't confuse the 4-dimensional julia fractals (which the julia_fractal
>> object is) with regular 2-dimensional julia fractals.
>> If you want regular 2-dimensional julia fractals, there's a pattern for
>> that in MegaPov.
>
>I don't exactly know the difference, but I guess a 4D fractal is a repetition of
>a fractal design in space, thus making a 3D object... am I right?
No. 2D Julia fractals are created by performing certain mathematical
operations using complex numbers, and 4D Julia fractals are created by
performing the same sort of mathematical operations on quaternions.
Complex numbers have two dimensions - one real and one imaginary - so
any fractals generated with them are 2D.
Quaternions have four dimensions - one real and three imaginary - so any
fractals generated with them are 4D.
When you render a 4D fractal, what you see on the screen is a 3D "slice"
through the 4D object.
--
Mike Williams
Gentleman of Leisure
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Simon Lemieux <lem### [at] yahoo com> wrote:
: Because, I could play with colors, and paterns and shape, make it move, etc...
: I would do this using OpenGL, so it would be fairly fast, fullscreen and quite
: amazing!
Look at the documentation of the fractal patterns in megapov docs and see
what they have to offer to you.
--
main(i,_){for(_?--i,main(i+2,"FhhQHFIJD|FQTITFN]zRFHhhTBFHhhTBFysdB"[i]
):_;i&&_>1;printf("%s",_-70?_&1?"[]":" ":(_=0,"\n")),_/=2);} /*- Warp -*/
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Mike Williams <mik### [at] nospamplease> wrote:
: 4D Julia fractals are created by
: performing the same sort of mathematical operations on quaternions.
Or hypercomplex numbers.
--
main(i,_){for(_?--i,main(i+2,"FhhQHFIJD|FQTITFN]zRFHhhTBFHhhTBFysdB"[i]
):_;i&&_>1;printf("%s",_-70?_&1?"[]":" ":(_=0,"\n")),_/=2);} /*- Warp -*/
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