4 ms·

My favorite alternative to Mandelbrot is the Monkelbrot, I made this 13 years ago (probably I discovered this formula on the old fractalforums.com) https://www

My favorite alternative to Mandelbrot is the Monkelbrot, I made this 13 years ago (probably I discovered this formula on the old fractalforums.com) https://www.deviantart.com/titoinou/art/The-42-MonkelBrot-292062483 https://www.deviantart.com/titoinou/art/The-42-MonkelBrot-29... f(z) = ( (z*c-1)^2 - 1 )^2 - 1 It features Classic Quadratic Mandelbrots z^2 and also Quartic Brots z^4 in one set, that is apparently connected (I didn't prove this yet...). Also, it doesn't go crazy like others alternative, it stays nicely behaved like the original Mandelbrot set. You can copy paste "( (z*c-1)^2 - 1 )^2 - 1" without the quotes on this site to explore the fractal It's really fascinating when navigating the fractal to try to understand where would a z^2 minibrot appear vs. where would a z^4 minibrot appear

OgsyedIE 1y ago
It is tragically the case that most of the archives of fractalforums are irretrievable and lost media. The archive.org copies are very incomplete and the database dumps, as far as my research last year could figure out, are locked behind a group of moderators of an inadequately programmed successor site who don't want to share them, considering the dumps to be a status moat for themselves.
- ttoinou 1y ago
  Yeah I was sad about that
- pabs3 1y ago
  fractalforums.com seems to be online still, so I just queued a recursive ArchiveBot job to save fractalforums.com to archive.org.
akunzler 1y ago
The Monkelbrot! https://www.juliascope.com/share/6876dcfda602d0a43f41b2e9 https://www.juliascope.com/share/6876dcfda602d0a43f41b2e9 Sounds like I missed out on fractalforums.com :/ oh the webpages lost to the ether
- ttoinou 1y ago
  Hehe, I missed the sharing feature thanks. IIRC it was a user named monk who found a method to generate any Monkelbrot set containing our customized choice of any z^n brots I found the (2,4) pair the most beautiful
- pabs3 1y ago
  https://www.fractalforums.com/ https://www.fractalforums.com/ is still online but read-only, but there is also a new forum at https://fractalforums.org/ https://fractalforums.org/ I just queued an ArchiveBot job to save fractalforums.com to archive.org too.

OgsyedIE 1y ago

It is tragically the case that most of the archives of fractalforums are irretrievable and lost media. The archive.org copies are very incomplete and the database dumps, as far as my research last year could figure out, are locked behind a group of moderators of an inadequately programmed successor site who don't want to share them, considering the dumps to be a status moat for themselves.

ttoinou 1y ago
Yeah I was sad about that
pabs3 1y ago
fractalforums.com seems to be online still, so I just queued a recursive ArchiveBot job to save fractalforums.com to archive.org.

akunzler 1y ago

The Monkelbrot! https://www.juliascope.com/share/6876dcfda602d0a43f41b2e9 https://www.juliascope.com/share/6876dcfda602d0a43f41b2e9 Sounds like I missed out on fractalforums.com :/ oh the webpages lost to the ether

ttoinou 1y ago
Hehe, I missed the sharing feature thanks. IIRC it was a user named monk who found a method to generate any Monkelbrot set containing our customized choice of any z^n brots I found the (2,4) pair the most beautiful
pabs3 1y ago
https://www.fractalforums.com/ https://www.fractalforums.com/ is still online but read-only, but there is also a new forum at https://fractalforums.org/ https://fractalforums.org/ I just queued an ArchiveBot job to save fractalforums.com to archive.org too.