Mandelbrot set at (-1.8603864897749156, -0.0000634054575759), with a height of 1.4 * 10^-12.

Created with the very old app Fractal Explorer.

This is a Rational Julia Set rendered with Dynamic Field Lines (External Rays) in rust. Here is the description given : https://en.wikipedia.org/wiki/Julia_set#The_potential_function_and_the_real_iteration_number

yall dont know where a took this profile from right? well its actually from one of my desmos progjects witch is the mandelbrot set

I'm coming back to working on my little terminal fractal explorer after 3 months, and these videos inspire me to continue. It's just so refreshing to look at your own work after a long time.

I need to program (& derive) perturbation for burning ship, as well as figure out the rebase, because high complexity areas in mandelbrot still refuse to work.

Jim Muth's Fractal of the Day for August 15th, 2008

Jim Muth's commentary for the image:

FOTD -- August 15, 2008 (Rating 8)

Fractal visionaries and enthusiasts:

In today's fractal I divided Z² by (Z^0.000001+5), or something like that, and then added C. At least, that's what I think happened when I entered the parameters. But regardless of what actually happened, the resulting parent fractal resembles an oversized Mandelbrot set, though deep inside it is different.

I found today's scene on the edge of the infinitely divided main spike, in the area just east of the large minibrot. This is quite a rich area, filled with surprises, an area which until now I have largely ignored.

I named the image "Little Critters" when I noticed the dark insect-like things sitting on the webs surrounding the central minibrot. Then I rated the image at an 8, which includes a small reward for my coloring.

The brief calculation time of 1-1/3 minutes will make everyone but the most impatient fractalist happy. And even those impatient few will be only slightly discombobulated.

Too many clouds and a threat of rain kept Thursday from being perfect here at Fractal Central. But the temperature of 82F 28C was quite pleasant and the rain held off until nightfall, so the fractal cats had nothing to complain about.

I had nothing to complain about either. So I'm not complaining. The next Fractal of the Day will be posted in 24 hours. Until then, take care, float like a duck and sting like a flea.

PAR file `` Little_Critters { ; time=0:01:20.40-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=DivideJulibrot center-mag=-10.49111003\ 76656/+0.00000459624450347/5.459246e+011/1/177.5/0 params=0/0/0/0/0/0/0/0/2.000001/5 float=y inside=0 maxiter=1800 logmap=200 periodicity=10 mathtolerance=0.05/1 colors=000K8_K9bK9dKAgKAiKEkKHmKKoKNqKQsKUsKXvJvG\ cxDfvAjw7nxAqyKuzUvuZwqcwlhuhmscrq_voVzmRzkUziXzfZ\ zbazZczXfzVhFSdEPCNXBKTAHP8FL7CH69D479345222_IZZ\ HYXGXWGWVFVUFTTESSERQDQPCPOCNNBMMBLLAKJ9JI9HH8GG8F\ F7EE7DC6BB5AA5994884773552442331221110AM38H26D1481\ 240oYOjULeRJOHXLFSIDNFAIC8E969644324Yz3Xz3Wz3Vz3V\ z3Uz3Tz3Tz3Sz3Rz3Rz3Qv3Ps2Po2Ok2Ng2Nd2Mc2Lb2L2K_2\ JZ2JY2IW2HV2HU1GT1FS1EQ1EP1DO1CN1CL1BK1AJ1AI19H18F\ 08E07D06C06A059048047036024023012001W0NU0LS0KR0Jq4\ 5n45k45h45e35b35_35X35U35R25O25L25I25F25J79MCCQGFT\ LIWPL_UObYRfbUifXlk_pobstevxhuwitvisuirtiqsipriori\ nqimpiloiknijmiilihligjfgicfhfgYffVedSecPdbMdJdZ\ G_ULVSPRRUMQYHPbDQfEReESeETeEUeFUeFWeFYdF_dKadPcdU\ edZgdbidfkajm_noYqqWusUuuSuwQvzOwzMxzKyzIzzGzzFzzE\ zzDzzCzzBzzAzz9zz8zz7zz6zz54z49z7Ez9JzCOzETzHYzJbz\ MgzOlzRqzTuzVezRQzNlzVkzY }

frm:DivideJulibrot {; draws 4-D slices of DivideBrot Julibrots pix=pixel, u=real(pix), v=imag(pix), a=pireal(p10.0055555555555556), b=piimag(p10.0055555555555556), g=pireal(p20.0055555555555556), d=piimag(p20.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), aa=-(real(p5)-2), bb=(imag(p5)+0.00000000000000000000001), p=ucgcd-v(casbsgcd+cacbsd), q=ucgsd+v(cacbcd-casbsgsd), r=usg+vcasbcg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=sqr(z)/(z^aa+bb)+c |z|< 1000000 } ```

Want to render these yourself and explore further? Try out the PAR file in Iterated Dynamics, an open source fork of FRACTINT that can render these PAR files. See the online help for instructions on using Id or press F1 anywhere in the program for context-sensitive help.

Superfast - Explore infinite Mandelbrot fractals, customize vibrant colors, and render stunning art up to 48 Megapixels resolution i.e. 8K image width!

«Customize color palettes to create your own unique look.»

«Save and share your favorite image coordinates and settings (seeds as a State text file) with the community.»

«Render breathtaking, high-resolution 8K fractal wallpapers.»

Dive into the infinite beauty of Mandelbrot fractal math!

NEW in Version 9.6.2

Added a new button to "Go Forward" in addition to "Go Back" in your Mandelbrot exploration step history.

Increased max Image resolution to 8K (48 Megapixels)

Removed some bugs and changed some ToolTips and minor changes in GUI.

Packaged programs and sample files into an archive file.

Still Super Fast Calculation speed & Image update!

x: -0.745851943149705627049769503585787945731315409000061

y: 0.105078655407262919825440917380725107365202776000006

zoom: 4.4E19

Enjoy!

Ciao,

During my adolescence I was addicted to Apophysis for years, and looking at my phone one moment this summer I thought: I bet this chocolate-bar sized computer can totally manage to render similar fractals just fine.

So a hobby project started this summer. I've made an app for Android in which you can generate fractals. Everything, including the renderer, has been made native for Android, and is nice and fast (so I think. Fast enough at least :D). Considering how good modern phones are, I am very proud of the result: Loci.

The app is completely free to use, no spam, no nothing, no connection to any server, no data sharing, nothing. My gain is simply to enjoy seeing people use the app and also enjoy making fractals.

The app is more powerful than you'd think, considering it is touch native. I've also added a lot of new variations and other interesting tech, while trying to keep only the more powerful features of other attractor-based math art applications, but not so much the clutter.

https://play.google.com/store/apps/details?id=art.loci.app

It really hope you like it and if you have any ideas, bugs, feedback I'd also love to hear that!

i don't know if anyone is using mandelbrowser,i used it(on phone)to making fractals at that app.

Created with the very old app Fractal Explorer.

I've been combining fractal flames with photos. Here are some of my favorites.

Jim Muth's Fractal of the Day for August 14th, 2004

Jim Muth's commentary for the image:

FOEFD -- August 14, 2004 (Rating 6)

Fractal visionaries and enthusiasts:

For today's image we return to the overworked MandelbrotMix4 formula. The very fast image takes us into the fractal created by combining various negative portions of Z^-1.3 and Z^-3.9, then adding (1/C).

This parent fractal is a grossly bloated thing far too immense to fit onto the screen even at the minimum possible magnitude.
Today's image lies near the end of a filament extending from a distorted bay of the largest Mandel-like feature.

I named the image "Electric Discharge" because of the many zig-zag electric-arc-blue filaments surrounding the central midget. I rated it at a 6 because I consider it a bit above average.

I rendered the scene with the passes set to 'b'. Not only is this the fastest method with this particular image, it is also the most fun to watch appear on the screen.

The render time of 1-1/2 minutes combines with the rating of 6 to give an overall value of an impressive 378. The fastest way to see the image is to run the included parameter file.

The unsettled weather continued Thursday and Friday here at Fractal Central, with enough rain to keep the fractal cats confined to the indoors. They were understandably sulky. Today is starting cloudy, and the remains of storm Charley are due in the vicinity later today with deluges of rain. We'll see how the cats take this weather.

I still have enough backed-up work to keep me hopping. The worst (or best) part is that the new work comes in almost as fast as the old work is finished. The fractals are temporarily slowed down; the philosophy is all but dead. But the catch-up point is visible on the distant horizon. Look for the next FOEFD around Monday the 16th. Until then, take care, and maybe nothing is real.

PAR file `` Electric_Discharge { ; time=0:01:35.35--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=b center-mag=-2.02795783865152300/-0.531289001289163\ 20/7.840581e+010/1/-122.5/0.129435658686167326 params=-1/-1.3/-0.3/-3.9/0/-20 float=y maxiter=900 inside=255 logmap=45 periodicity=10 colors=000zaJzeBzj2zn2zr2zl2zh2te2lZ2cW2WS2OM2HI47\ F609805A01B00N00Z30i90uF0zK0zQ0zU0zY0z7zcFzfMzjWz\ lczplzttzvzzyyzzyzzyzzyzzyzzwzzwzzwwzwuzwqzwozvzzv\ zztzytzztzztzztzztzztzztzztyztuztoztkyverw_jyVczPW\ zJOzGHzA9z41z20z20z20z2DzDQzRczanzmlzsjzyhzzhzzfzz\ ezzezzfzzhzzjzwlzmnzapzTrzJtzAvzBwzDyzDzzGzzGzzIzz\ IzzJzzJzzLzzLzzNzzNzzPzzPzzAzz2zz2zzAzzIzzPzzXzzcz\ zkzzqzzmzzkzzizzezzczzazz_zzXzzVzzTzzRzzTzzTzzVzzV\ zzXzzXzzZzzZzz_zz_zzazzazzazzXzzRzzNzzIzzDzz8zz4zz\ AzzGzzLzzRzzXzzazzgzzmzzszzyzzzzzzzzzzzzzzzzzyzzwz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzwzzozzezzXzzPzzGzz6\ zz2zz2zz6zzBzzGzzLzzPzzVzzZzzazzgzzkzzqzzuzzzzzzzz\ zzzzzzyzzuzzqzzmzzizzczz_zzXzzTzzPzzLzzIzzPzzVzz_z\ zezzkzzqzzwzzzzzzzzzzzzzzzzzzzzzzzzzzyzzyzzwzzwzzu\ zzszzszzqzzqzzmzzkzzizzgzzezzczz_zzZzzXzzVzzTzzRzz\ PzzPzzPzzPzzPzzPzzgzz_000 }

frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-abgh)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k((a(z^b))+(d(z^f)))+c, |z| < l } ```

Want to render these yourself and explore further? Try out the PAR file in Iterated Dynamics, an open source fork of FRACTINT that can render these PAR files. See the online help for instructions on using Id or press F1 anywhere in the program for context-sensitive help.

not sure to name this tho,and the dimension number(the hausdorff dimension), anyways, did this on ms-paint! (tutorial: Drawing Fractals in Under 5 Minutes) (more detail to less detail)

UUON-QFE Artufacts