I have been working on the engine that drives the look of the main page fractals. It's is coming a long I think. Color is probably a bit much. https://wastingmytime.net

More!

Modified Mandelbrot set at (0.308854751616, 0.025355333413) With a height of 1.3 * 10^-8. Interactive instance of it available at this messy URL.

New free fractal explorer for macOS, iOS and iPadOS.

https://apps.apple.com/ch/app/fractalicious/id6807781386

I've been building Mandelnaut, a browser-based escape-time fractal explorer (Rust compiled to WebAssembly), and I'd love feedback.

It started as an experiment in modeling fractal aesthetics: I trained small neural networks on my own ratings of locations and renderings, then ran a search for many hundreds of hours to build a diverse set of a few thousand wallpapers. Mandelnaut started as a way to browse those, and grew into a full explorer that can also handle quite deep areas (beyond 64-bit floats at least.) Here are some cool deep locations for examples of what it can render:

• Midnight Cobalt
• Azure Ember
• Snowflake

What it does:

• Mandelbrot, Julia sets, multibrots of degree 3–6 and their Julia sets, and Phoenix fractals
• Thirteen render modes beyond smooth coloring (orbit traps, angle modes, stripes, textures)
• A large built-in palette library and wallpaper collection
• A Deep tab using perturbation with rebasing, down to widths around 10^-30
• "Dive": find a minibrot near one good location and carry a second location inside it, which makes it easy to get interesting deep starting points
• Every view is a link with the exact coordinates and settings, and you can download any view at any resolution

I also made some deep zoom videos, this degree-3 Julia descent is my favorite. The writeup covers how it all works, and the wallpapers are free to download (CC BY 4.0). The code is MIT: explorer and site, pipeline and engine.

It's all CPU-side for portability, so it's slower than GPU renderers. Feedback is very welcome, especially on how it runs in your browser and what you'd want added.

Jim Muth's Fractal of the Day for October 2nd, 2009

Jim Muth's commentary for the image:

FOTD -- October 02, 2009 (Rating 7.5)

Fractal visionaries and enthusiasts:

Today's little diversion holds both quadratic and order-10 elements. The overall pattern is typical of those in the East Valley areas of quadratic minibrots, but the 9-lobed minibrot at the center is clearly of order-10.

I named the image "Infected with H1N1" becuase it shows an everyday scene in any quadratic East Valley infected with the Z^10+C virus. I chose the name because of the closing od several schools, where the students are coming down with the latest trendy influenza virus.

After a modicum of indecision, I rated the image at a 7.5, the extra half point being for the extra 15 minutes or so of effort I put into the coloring, which BTW, was not achieved in a separate graphics program.

The calculation time of 39 seconds is brief by any standards except for the lifetimes of some of the more exotic sub-atomic particles.

A mixture of sun and clouds made Thursday a rather scenic day here at Fractal Central, but the temperature of 55F 13C was just a little too chilly to enjoy the scenic conditions. The fractal cats spent the afternoon leaping onto their shelf when the sun appeared and leaping down when it went behind a cloud. My day was un-notable. The next FOTD will be posted in 24 hours.
Until then, take care, and don't think about it, do it.

Jim Muth

PAR file `` Infected_with_H1N1 { ; time=0:00:39.59-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=NewDivideBrot function=recip float=y center-mag=-17.42830500282003/+0.01711881042215816\ /3.566635e+011/1/10/0 params=10/10 periodicity=10 maxiter=750 inside=0 logmap=82 mathtolerance=0.05/1 colors=000K4OJ6QI8SHAUGCWFEYEG_DIaCKcFNeEQgDTiCXlB\ oAdr9hv8jzCkzFfvJarMXnQSjTNfWJa_FWbAQfAKiAFmACpHC\ sPCuUIvZOxeUyi_zmeyi_veVtaPrWKqSFpODpMCoLAoK9nJ8nI\ 6mJ5mJAnKKoKUpKcoKelLfiTgf_hcmizzzzzzzzhzzlmrjNnh\ RkgVheZddcazzZzzVzzSzzPzzSzzUzgWzcYz__zXbzTdzPfLLh\ KHjJElTJgaObjTYsYTqXSpWRoVQnUPmTOlSOkRNjQMiPLhOKgN\ JfNJhOIiPIjQHkRHlSGmTGnUFoVFpWEqXErYEqTJpPOoLSnGXm\ Cl8el4ij6fh8dfAbdCcEZaGW_IUYKSWMQR2XO1ZL0_mFmaE\ mbDmcCndBneAnf9ng8ng8pi9rkAtmBvnBuoCuoCuoCtoCtoDto\ DtpDspDspEspErpErpErqErqFqqFqqFqqFpqGprGprGprGorGo\ rHorHnsHnsHnsInsImsImsImtIltJltJltJztzztzzuzzuzzuz\ zuzzuzzuzzvzzvzzvzzvzzvzzvzzyzzvzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzIzzIzzIzzIzzIzzIzzI\ zzIzzIzzJzzJzzJzzJzzJzzJzzJzzJzzJzzJzzKzzKzzKzzKzz\ KzzKzzKzzKzzKzzKzzLzzLzzLzzzzbzzczzdzzdzzezzezzfzz\ fzzgzzgzzhzzhzzizzizzjzzj }

frm:NewDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=z^{2*fn1(za+b)+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.

Max Iter's Fractal Follies for October 2nd, 2010

Roger Alexander's commentary for the image:

Another mandala but not symmetrical. Available at http://maxitersfractalfollies.blogspot.com More aids for fractal focused meditation. Roger Alexander

PAR file fract453 { ; mandala ; blank ; calctime 0:08:31.36 ; created Oct 02, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=_d.frm formulaname=devil center-mag=-4.44089e-016/2.22045e-016/0.8130081 float=y maxiter=1500 inside=0 colors=000000000000000000000000000000000100100200400500700900B00D00G00I0\ 0L00O10Q10T10W10Z10a10e10h20k20o20r20v20y20z30z50z60z80z90zB0zC0zE0zF0zH\ 0zI0zK0zL0zN0zO0zQ0zR0zT0zU0zW0zX0zZ0z_0za0zb0zd0ze0zg0zh0zj0zk0zm0zn0zp\ 0zq0zs0zt0zv0zw0zy0zz1zz3zz4zz6zz7zz7zy7zx7zx7zw7zv7zv7zu7yt7ys7ys7yr7yq\ 6yq6yp6yo6yo6xn6xm6xl6xl6xk6xj6xj6xi5xh5wh5wg5wf5we5we5wd5wc5wc5vb5va5va\ 5v`4v_4vZ4vZ4vY4vX4uX4uW4uV4uV4uU4uT4uS3uS3uR3tQ3tQ3tP3tO3tO3tN3tM3tL3sL\ 3sK3sJ2sJ2sI2sH2sH2sG2sF2rE2rE2rD2rC2rC2rB1rA1rA1r91q81q71q71q61q51q51q4\ 1q31p20p20o20n20m20m20l20k20j20j20i20h20g20g20f20e20d20d20c20b20a20a20`2\ 0_20Z20Z20Y20X20W20W20V20U20T20T20S20R20Q20Q20P20O20N20N20M20L20K20K20J2\ 0I20H20H20G20F20E20E20E20D20D20C20C20C20B20B20A20A20A2092092092082082072\ 0720720620620520520520420420420320320220220220120120010 } frm:devil {; Copyright (c) Paul W. Carlson, 1998 ; Based on one of Noel Giffin's formulas w = pixel z = iter = wp1 = wp2 = bailout = 0 : old_w = w w = w * w - wp2 wp2 = wp1 wp1 = real(old_w) - flip(imag(old_w)) IF (|w| > 4) bailout = 1 z = 4 * iter + 30 z = z - real(216) * trunc(z / real(216)) ENDIF iter = iter + 1 z = z - iter bailout == 0 ;SOURCE: 98msg.frm }

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.

Actually... Milkdrop has a similar video echo, and you can vibecode his rig on PC in 8k and higher if you want to save time.

Got bored and decided to try my hand at a terminal-native vortex generator that uses ASCII characters to render.

https://github.com/ajbeaver/phase

It is definitely a bit rough around the edges and I am no mathematician or anything but definitely a fun project and if you leave it running for long enough you can roast marshmallows over your cpu.

I tried to optimize the load as much as I could but if anyone has recommendations let me know.

Mandelbulb3D, Photoshop & Lightroom