Have you ever noticed that when Jim Muth makes a foray into
the fourth dimension that he usually seems to do it in a big
way?
He usually leaps 90 degrees or more into, what he calls the
'rectangular' or 'elliptical' dimension and then looks around.
This is really great, but I often wonder how things would
slowly change as you just barely peek into the next spatial
dimension...
JoTz,
Have you ever considered a zoom that gradually slips into the
fourth dimension from Fractint's usual real / imaginary plane
(rather than exploring at a 'distance' from it as Jim does?)
(I guess it wouldn't be a zoom, but rather a pan, moving slice
or slow roll.)
I know there is a whole different world out there in the
fourth spatial dimension. I took a look into it a while ago
and saw some very strange beasts.
I used the older fractal program Quat that generates 3d
fractal objects from 4d fractal objects in the quaternions.
Its downloadable at:
http://www.physcip.uni-stuttgart.de/phy11733/quat_e.html
or
http://tinyurl.com/5zy9a3
and the home page for Quat is here:
http://www.physcip.uni-stuttgart.de/phy11733/index_e.html
or
http://tinyurl.com/lkroyt
I made a movie using Quat where each frame is a slightly
different 3d slice into a fractal that lives in four spatial
dimensions:
http://home.earthlink.net/~hallane/hals_fractals_n_photos/id2.html
or
http://tinyurl.com/mmjzoh
I'd be interested to see zooms in Fractint that incrementally step
through the fourth dimension, perhaps using some of Jim Muth's
Formulas like SliceJulibrotMin4 or Multirot-XZ-YW-new.
Anyone have any interest in fractals that exist in four spatial
dimensions?
Our computers are getting fast enough to investigate these animals.
The Quat animation at my home.earthlink.net link (above) was done
several years ago on a Pentium III at 400 MHz...
- Hal Lane
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