unknown
2008-11-01 01:25:11 UTC
Hi All!
I've been tinkering with a 3D family of fractal solids that display
Mandelbrot-like and Mandelbar-like cross-sections, and vary according
to the power of "z" being used.
The first one has "standard" intersecting Mandelbrot and
Mandelbar/Tricorn cross-sections, the second shows the "z^3"
counterpart of the Mandelbrot and its "z^3" complex conjugate sibling,
the third does the same for "z^4", and so on.
I already have a page describing the "z^2" version:
http://www.relativitybook.com/CoolStuff/erkfractals_3d.html
, and if you scroll right down you'll see a few recent sample images
and videos of a few of the higher-power versions. I'll be splitting
off a separate page and gallery for images I've been accumulating of
the "higher-power" versions.
There are also currently some videos on YouTube, at the channel:
http://www.youtube.com/user/ErkDemon
Anyhow, before I finalise the next page, I was wondering:
(1) Does this family of fractal solids have a name?
(2) If it //doesn't// have a name, is there someone whose
name is already associated with these solids, that I ought
to be citing when I mention them? And,
(3) If neither of the above apply ... can I nab them for
myself? :)
Any pointers to ealier work gratefully received.
Cheers,
Eric Baird, UK (aka "Erk", "ErkDemon")
: " Big fleas have little fleas upon their backs that bite 'em.
: These fleas have other fleas and so ad infini-i-tum "
: -- (de Morgan, revised from an earlier poem by Jonathan Swift)
I've been tinkering with a 3D family of fractal solids that display
Mandelbrot-like and Mandelbar-like cross-sections, and vary according
to the power of "z" being used.
The first one has "standard" intersecting Mandelbrot and
Mandelbar/Tricorn cross-sections, the second shows the "z^3"
counterpart of the Mandelbrot and its "z^3" complex conjugate sibling,
the third does the same for "z^4", and so on.
I already have a page describing the "z^2" version:
http://www.relativitybook.com/CoolStuff/erkfractals_3d.html
, and if you scroll right down you'll see a few recent sample images
and videos of a few of the higher-power versions. I'll be splitting
off a separate page and gallery for images I've been accumulating of
the "higher-power" versions.
There are also currently some videos on YouTube, at the channel:
http://www.youtube.com/user/ErkDemon
Anyhow, before I finalise the next page, I was wondering:
(1) Does this family of fractal solids have a name?
(2) If it //doesn't// have a name, is there someone whose
name is already associated with these solids, that I ought
to be citing when I mention them? And,
(3) If neither of the above apply ... can I nab them for
myself? :)
Any pointers to ealier work gratefully received.
Cheers,
Eric Baird, UK (aka "Erk", "ErkDemon")
: " Big fleas have little fleas upon their backs that bite 'em.
: These fleas have other fleas and so ad infini-i-tum "
: -- (de Morgan, revised from an earlier poem by Jonathan Swift)