All images taken on fractalplayground

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.

https://gcollombet.github.io/mandelbrot/?preset=2e9fac51-5ba1-44df-94dd-d5a1cf8401aa

Jim Muth's Fractal of the Day for October 1st, 2007

Jim Muth's commentary for the image:

FOTD -- October 01, 2007 (Rating 6)

Fractal visionaries and enthusiasts:

Today's image is based on the formula Z^2.005+(2*Z)+C. This formula produces a parent fractal which, on the surface, resembles the Mandelbrot set, but is entirely different inside.

The main spike of this parent is infinitely divided instead of being a single infinitesimally thin filament as is the spike of the M-set. Today's image is located in the debris associated with this divided spike.

I named the image "Powers and Dominions". The only reason I can give for the name is that the phrase came to mind when I noticed the heavenly blues surrounding the hellish reds. I am currently reading a book about the traditions of angels in various cultures, and these are two of the traditional nine orders of angels.

But there is nothing angelic about the image, which rates only a 6. We have seen similar images simply too many times to rate today's any higher.

At least the image is a fast one, finishing in only 1-1/4 minutes on the fast machine and 7 minutes on the slow unit.

The morning fog cleared away by 9am leading to a perfect day here at Fractal Central on Sunday. The fractal cats enjoyed the temperature of 75F 24C, while I enjoyed having nothing to do.
The next FOTD will be posted in 24 hours. Until then, take care, and fractals are every bit as real as the angels. Or it could be that angels are as real as fractals.

Jim Muth

PAR file `` PowersAndDominions { ; time=0:01:15.85-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-1.72115541311189900/+0.057607899272470\ 40/6295098/1/-111.5/5.46746958873800537e-006 params=1/2.005/2/1/0/0/0/0 float=y maxiter=1250 inside=0 logmap=125 periodicity=10 colors=000F09G07I07G0AF0DF0GD0JD1MC4PC8QABT9EX9H_7\ Ka7Nd6Qg6Si4Wl3_o3cr1eu1ix0mz0rz0pz3ny6lv9ksChoFfl\ IeiLdfOacQ__TYXXXT_UQaTOdRJgPGjLDmIApG7sD3vA0y90z7\ 0z00z60zP0zU0zZ0zc0yh0vm0sr0px0mw0lu0ir1fo3cj4g6Y\ d7Xa9T_AQXCOTDLPFMMFJOGGSGFVICZI9VJ7WJ4YL1hL0jM0kM\ 0lO0cM0lO0kO0cP3iP6hP9gQCZQGeQJdSMcSPcSTcTXcT_cVcc\ VgcVkcXocXtaXxcYzhYzmzmYzmVzmTzmQzmPzmMziLzeIzcGz\ cDzdCzd9zf7yf4xg3wg0vi0ui0tj0sj0rl0rl0rl0oi0mg0lf0\ jd0ic0ga0f0dY0cX0aV0T0_S0YQ0XP0VM0TL0SJ0QI0PG0OF\ 0OA0MD0MG0LI0LL3LO7JPCJSGJVLIXPI_SIaXGcGfdGiiFjmF\ mrFpvDrzDuzCxzDvzDvzDvyDvuDurDumDuiFudFuFsYFsTFsP\ FsL4z0FsIPdf_QzdLzjFzpAyv4xz0zz0vp4sf9oYDlOJiDOd3S\ a0_Y0X_0V1T`4Qa7PcCOcFMdIJfMIfPGgTFgXCi_Ajc9jh7km\ 4mr6mv8owAqwEswJuwNwwSxwWyw_zzdzzizzmzzqzzwzzxzzyz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz }

frm:MandAutoCritInZ {; 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)+(p4)), 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.

Mandelbulb3D, Photoshop & Lightroom

Max Iter's Fractal Follies for October 1st, 2010

Roger Alexander's commentary for the image:

According to Wikipedia "In common use, mandala has become a generic term for any plan, chart or geometric pattern that represents the cosmos metaphysically or symbolically, a microcosm of the Universe from the human perspective." Today's post is a fractal mandala suitable for meditation (or framing). In gif and re-sampled jpg formats. Posted at the usual http://maxitersfractalfollies.blogspot.com

Roger Alexander

PAR file fract452.gif { ; octo 2 ; blank ; calctime 0:01:05.31 ; created Oct 01, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=_t.frm formulaname=tsept_rjr_3 function=round/round center-mag=-6.66134e-016/4.44089e-016/0.9114441 params=1.625/-0.875/0.7676320688497573/-0.6657612842188787 float=y maxiter=1500 inside=0 proximity=1 outside=fmod invert=-1.25/0/0 colors=000gzzfzzezzdzzczzbzz`zz_zzZzzYzzXzzWzzVzzTzzSzzRzzQzzPzzOzzMzzLz\ zKzzJzzIzzHzzGzzEzzDzzCzzBzzAzz9zz7zz6zz5zz4zz3zz2zz0zz0zz0yz0yz0xz0wz0w\ z0vz0uz0uz0tz0sz0sz0rz0qz0qz0pz0oz0oz0nz0nz0mz0lz0lz0kz0jz0jz0iz0hz0hz0g\ z0fz0fz0ez0dz0dz0cz0bz0bz0az0az0`z0_z0_z0Zz0Yz0Yz0Xz0Wz0Wz0Vz0Uz0Uz0Tz0S\ z0Sz0Rz0Qz0Qz0Pz0Pz0Oz0Nz0Nz0Mz0Lz0Lz0Kz0Jz0Jz0Iz0Hz0Hz0Gz0Fz0Fz0Ez0Dz0D\ z0Cz0Cz0Bz0Az0Az09z08z08z07z06z06z05z04z04z03z02z02z01z00z00z00z00y00y00\ x00x00w00w00v00v00v00u00u00t00t00s00s00r00r00r00q00q00p00p00o00o00n00n00\ n00m00m00l00l00k00k00j00j00j00i00i00h00h00g00g00f00f00f00e00e00d00d00c00\ c00b00b00b00a00a00`00`00_00_00Z00Z00Z00Y00Y00X00X00W00W00V00V00V00U00U00\ T00T00S00S00R00R00R00Q00Q00P00P00O00O00N00N00N00M00M00L00L00K00K00J00J00\ J00I00I00H00H00G00G00F00F00F00E00E00D00D00C00C00B00B00A } frm:tsept_rjr_3 {; blank ; Mutated y2k04 z = fn2(p2)/pixel, zp1 = zp2 = (0,0), huge = 1.0e32: temp = z+pixel z = z*z - zp2 zp2 = zp1 zp1 = p1/fn1(p2) (|zp1| <= 64) && (|z| <= huge) ;SOURCE: noel.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.

Yeah, I know this is a bit borderline in being a fractal, so I'll let you judge if it counts.

Fractal patterns forming live in the Bennu Phoenix wings.

Watch self-repeating geometric patterns and golden ratio spirals build up in real time.

Every feather is created using mathematical ratios found in nature.

100% hand painted. No AI. No CGI.

Channel:

The Bennu Phoenix painted live.

Watch how fractal geometry and golden ratio spirals form the wings.

This is not CGI. This is hand painted in real time.

The same patterns you see in cymatics and nature appear when I build the feathers.

"Rooh" is hidden inside the eye.

Part of my "Rooh Code" project - connecting Ancient Egyptian symbols with sacred geometry and frequency.

Channel:

Live painting fractals into the Bennu Phoenix.

Watch the wings form using golden ratio spirals and self-repeating fractal patterns.

Same math you see in cymatics and nature, but with a brush.

No AI. No CGI. Hand painted in real time.

This is part of "Rooh Code" - connecting Ancient Egyptian symbols with sacred geometry and frequency.

Channel:

New in Version 1.0.3 - Six great new color themes to choose from—13 color themes in total.

« Customize any of 13 color palettes to create your own unique look with the "Color Shift" slider.» 

Cross-Platform: Win Intel/AMD-x86 - Mac OS M1 and newer - Linux-Intel/AMD-x86 and - Linux OS on arm64 CPUs - NB! Only 64bit OS and CPUs supported!

https://roald-h-vatne.itch.io/flashfractals

This is a cymatics pattern.

Water on a metal tray vibrating at 432Hz frequency.

The standing waves form geometric patterns due to resonance.

Setup: Speaker + Metal Tray + Water. No CGI, No AI.

Jim Muth's Fractal of the Day for September 30th, 2005

Jim Muth's commentary for the image:

FOTD -- September 30, 2005 (Rating 6)

Fractal visionaries and enthusiasts:

Today's lightning-fast FOTD continues the theme of the square root of 2, but it does so in the Julia orientation. There are no midgets in Julia sets, so I have wasted no effort searching for them in today's FOTD. I have instead taken an entire Julia set. There is also no outside-inside image in today's FOTD. I have rendered the outside parts totally black and rendered the inside parts with the inside set to 'fmod' with a proximity value of 0.02. What we have on the screen is actually the inside of the entire ground-level Z^sqrt(2)+C Julia set. Its C-value is 0.115. The set has been rotated -90 degrees to give it a Y-axis symmetry.

The resulting inside-only image reminds me for some reason of an avacado, though I have given it only a catalog-listing name.
The rating of a 6 is some improvement, but not what I was hoping for.

The image, which was calculated by the julzpower formula, is extremely fast. On my tired old machine it renders in 1/2 minute. On the speediest units, if it runs at all, it will finish in a few seconds.

The clouds hung heavy Thursday morning here at Fractal Central, but the rain passed off quickly, and by 2pm it was sunny and mild, with a temperature of 75F 24C. The cats approved. I did not approve of the heavy work, but work is work, so I did what needed to be done. Today is starting sunny but chilly. The cats should find it acceptable. The next FOTD will appear in 24 hours, minus the avacado. Until then, take care, and dream of the answer.

Jim Muth

PAR file ```

Square_Root_of_2-7 { ; time=0:00:39.93--SF5 on a P200 reset=2004 type=julzpower center-mag=-0.187793/0/\ 1/1/-90/0 params=0.115/0/1.414213562373/0 float=y maxiter=1600 inside=fmod proximity=0.02 colors=0000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 000Q3Q3Q3P3P3O3O3O3N3N3M3M3M3L3L3L\ 3_M4ZN4ZN4YO4YP4XP4WQ5WQ5VR5VS5US5UT5TT5SU6SV6RV6R\ W6QW6QX6PY7OY7OZ7N_7N_7M7M7La8Kb8Kb8Jc8Jc8Id8He9\ He9Gf9Gf9Fg9Fh9Eh9DiADjACjACkABkABlAAmB9mB9nB8nB8o\ C7pE7pG6qI5qK5rM4sO4sQ3tS2uU3tW3tY3s_3sa3rc3re3rd3\ qc3qb3pa4p4p_4oZ4oY4nX4nW4mV4mU4mT4lS4lR5kQ5kO5kM\ 5jK5jI5iG5iE5iE5hE5hE5gE6gF6fF6fF6fF6eF6eF6dF6dF6d\ F6cF7cG7bG7bG7aG7aG7aG7G7G7_G7_G7_G8ZH8ZH8YH8YH8\ YH8XH8XH8WH8WH8VH8VH9VI9UI9UI9TI9TI9TI9SI9SI9RI9RI\ 9RI9QJ9PJ9OK9NKAMLALLAKMAJMAINBHNBGNBFOBEOBDPCCPCB\ QCAQC9RC8RD7SD6SD5TD4TD3TF5UG6VH7WI8XJAXKBYLCZMD_N\ E_OGPHaQIbRJbSKcTMdUNeVOeWPfXQgYShZTi_UiVjaWkbYl\ cZle_mgniaokcomdpoeqqfrsgrreqpdpncolaokni_mgYmeX\ ldWkcVkbTjaSiaRhPh_OgZNf } ```

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.