This is page is pretty much done but it was killing me GPU so I added a quality drop down. Thing is funky looking. WMT.N/Quat

Hi everyone,

I have developed a browser based Fractal explorer that covers a few different fractals:

https://openworldlab.org/fun/fractals

I'm hoping people in this subreddit will find it useful.

This is the initial release and might contain some bugs. Do provide feedback and feature suggestions.

Jim Muth's Fractal of the Day for October 19th, 2011

Jim Muth's commentary for the image:

FOTD -- October 19, 2011 (Rating 8)

Fractal visionaries and enthusiasts:

For today's image I turned to a built-in Fractint formula, the type=manzzpwr, a formula I rarely if ever bring up, which on every iteration raises Z to the power of previous Z then adds Zⁿ. In today's image 'n' equals -12. After a few minutes of tweaking and experimenting with the formula, I turned up today's image, which for obvious reasons I named "Mandala-Head". The image resembles one of those surreal paintings by Rene Magritte in which people have things such as apples where their heads and faces would be expected. Today's image has a mandala instead of a head.

(A mandala is a devotional symbol representing the eternal cycles that fill the universe, especially the cycle of birth and death believed in by most eastern religions but considered heathen doctrine by the western religions, where the doctrine of only one chance to achieve salvation is accepted as truth.)

Most of the image's effect was achieved by rendering the scene with both the inside and outside parts set to 'atan'. The peach-turquoise color scheme adds to the effect, since the peach areas somewhat resemble the color of skin.

The rating of an 8 might be a little liberal, but why not, since today I'm in one of my more liberal moods. And there will be no trouble at all with the calculation, since the time is a fireball-fast 25 seconds.

The day began with clouds and mist here at Fractal Central. The foul weather continued for the rest of the day, never quite dry and never quite wet. The fractal cats approved of the temperature of 66F 19C, but Cassie approved a bit too much when she took her claws to the upholstery of the new chair and got herself scolded.

The humans had another near normal day, with nothing out of the ordinary to report. The next FOTD will appear in 24 hours.
I'll leave it to the individual fractalist to figure where it will appear from. Until then, take care, and if reincarnation is true, then about half the people on earth hold false beliefs; if it is false, then the other half hold false beliefs. In either case, the religious beliefs of at least half the people on earth are false.

Jim Muth

PAR file Mandala-Head { ; time=0:00:25.26-SF5 on P4-2000 reset=2004 type=manzzpwr passes=1 params=0/0/-12 center-mag=0.430612/0/0.5657059/1/-90/0 float=y maxiter=1500 bailout=10000 inside=atan outside=atan logmap=yes periodicity=10 colors=000gaVgbWgbXhcXhcYhdZidZie_ie`ie`jfajfbjgck\ gckhdkhelielifljgljhmkhmkimljnljnmknmlonlonmoonooo\ ppoppppqqqqqqrrqrssqrrrsqrsqrsprsprsorsorsnrsnrsmr\ smrslrskrskssjssjssististhsthstgstgstfstestestdstd\ stcttcttbttbttattatu`tu_tu_tuZtuZtuYtuYtuXuuXuuWuu\ WuuVuuVuuUuuTuuTuvSuvSuvRuvRuvQuvQvvPvvPvvOvvNvvNv\ vMvvMvvLvvLvvKvwKvwJvwJwwIwwHwwHwwGwwGwwFwwFwwEwwE\ wwDwwDwwCwwDxxCwwCvvCvvCuuCtuCttCssCrsBrrBqrBqqBpp\ BopBooBnoBmnAmmAlmAllAklAjkAjjAijAhiAhi9gh9fh9fg9e\ f9ef9de9ce9cd8bc8ac8ab8`b8`a8_`8Z`8Z_8YZ7XZ7XY7WY7\ VX7UX7TW7TW7SV6RV6RV6QU6QU6PW6PW6PV6PU6PU5PU5PU5PU\ 5PU5PU5PU5PU5PT4PT4PS4PR4PQ4PP4PO4PQ5OU6NU7NUAOUDQ\ VGU_JYdMaiPenSisVnxUmxTlxSlxRkxQkxPjxOjxNixMixLhxL\ hxKgwKgwKfvJfvJfuJeuIetIetIdsIdsHcrHcrHcqGbqGbpGbp\ FaoFaoF`nF`nE`mE_mE_lD_lDZkDZkCYjCYjCYiCXiBXhBXhBW\ gAWgeZQeZRe_Sf_Sf`Tf`UgaU }

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 19th, 2010

Roger Alexander's commentary for the image:

Posted at http://maxitersfractalfollies.blogspot.com a minibrot ,gif and anti-aliased jpg versions, of the classic Mandelbrot generated with the just released patch level 10 for Fractint 20.04. No problems so far running the new executable under DOSBox in Vista.

Roger Alexander

PAR file Fractint_20.04_Patch_10 { ; Fractint 20 04 Patch 10 just released ; fract480.gif ; calctime 0:03:04.88 ; created Oct 19, 2010 ; Fractint Version 2004 Patchlevel 10 reset=2004 type=mandel center-mag=+0.41523553474131090/-0.33178413843968140/1.117565e+008/1/90/\ 3.88578058618804789e-016 params=0/0 float=y maxiter=12000 inside=0 logmap=500 colors=000202303505606808A0AB0BD0DE0EG0GI0IJ0JL0LM0MO0OQ0QR0RT0TU0UW0WY0\ YZ0Z`0``0`a0ab0bc0cd0dd0de0ef0fg0gh0hh0hi0ij0jk0kl0lm0mm0mn0no0op0pq0qq0\ qr0rs0st0tu0uu0uv0vw0wx0xy0yz0zy0yw0wv0vt0ts0sq0qp0pn0nm0mk0ki0ih0hf0fe0\ ec0cb0b`0`_0_Y0YW0WV0VT0TS0SQ0QP0PN0NM0MK0KJ0JH0HF0FE0EC0CB0B90980860650\ 530310100100200300500600700800A00B00C00D00F00G00H00I00K00L00M00O00P00Q00\ R00T00U00V00W00Y00Z00_00`00b00c00a12b25c48d5Ae6Df8Gg9JhBLiCOjDRkFUlGWnIZ\ oJapKdqMfrNisPltQouRqvTtwUwxWzzVwyTswRovPktNgsLdqJ`pHXnFTmDPkBMj9Ih7Eg5A\ e36d00b00a00_00Z00X00W00U00S00R00P00O00M00L00J00H00G00E00D00B00900800600\ 5003001100300600900B00E00H00J00M00M00O00Q00S00U00X00Z00a00d00g10k10n10r1\ 0v10z21z21z43z65z87zA9zDBzFDzHFzJHzLJzOLzQNzSPzURzWTzZVzXUzVSzTQzROzPMzM\ KzKIzIGzGEzECzBAz98z76z54z32z00v00o00g00Z00O00D00100100 }

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.

If you ever wanted a Windows version of Fractint that has feature parity with the DOS version and XFractint, here's FractalForge. https://github.com/platypuscreations/FractalForge/releases

Also has Linux and Mac versions, with both an msi installer and portable versions for Windows.

Not mine, just sharing the work of the person who did this, without using any Fractint source code.

This is a Julia set, but instead of using just z = z^2 + c, it uses z = z^p + c, where the power, p, cycles through {2, 2i, -2, -2i}, so the same power is used every fourth iteration.

Orbit trap coloring is always fun to experiment with. Here are some variations. These are all Mandelbrot set images.

Max Iter's Fractal Follies for October 18th, 2010

Roger Alexander's commentary for the image:

A dark moody palette with a flickering of light. This fractal was generated with a real p1 (bailout) of 20 instead of the suggested 10^12. At the usual http://maxitersfractalfollies.blogspot.com.

Roger Alexander

PAR file Moody_Blue { ;fract477.gif ; blank ; calctime 0:01:15.85 ; created Oct 17, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=frac_ml.frm formulaname=gaussinttot_man center-mag=-0.864/0.761751/17.83333 params=20/30 float=y maxiter=1500 inside=0 decomp=256 periodicity=0 colors=00101211312412413523624724825935936A36B37C47D48E48F49F59G5AH5AI5B\ J6BK6CK6CL6DM7DN7EO7EP7FP8FQ8GR8GS9HT9HU9IUAIVAJWAJXBKXBKYBLYCLZCMZCM_DN\ `DN`DOaDOaEPbEPbEQcFQcFRdFReGReGSfGSfHTgHTgHUhIUiIViIVjIWjJWkJXkJXlKYlKY\ mLZnLZnM_oM_oM`oN`pNapOaqObqPbrPcrPcrQdrQdsResRetRftSftSgtTguThuUhuUivVi\ vVjvVjvWkwXkwYlwYlwZmxZmx_nx_nx`ox`oxapyapybqybqycrydryesyeszftzgtzhuzhu\ zivzjvzkwzmwznxzpxzqyzryzuzzuzzuzzryzqyzoxznxzmwzkwzjvzivziuzhuzgtzftzfs\ zesydrycrybqybqyapyapy`ox_ox_nxZnxZmxYmwYlwXlwXkwWkwVjvVjvVivVivUhvUhuTg\ uTguSfuSftRetQesQdsQdrPcrPcrObqObqOapNapN`oN`oM_nM_nMZmLZmLYlLYlKYlKXkJX\ kJWjJWjIViIViIUhHUhHTgHTgGSfGSfFRfFReFQdFQcEPcEPbEObDOaDNaDN`CM_CM_BLZBL\ ZBKYAKYAJXAJWAIV9IU9HU9HT8GS8GR8FR8FQ7EP7EO7DN7DM6CL6CL6BK6BJ5AI5AH59G59\ G48F48E47D37C36B36A35A259248247236135124124113012001000 } frm:gaussinttot_man { ; Kerry Mitchell ; ; Gaussian integer coloring of Mandelbrot set ; color by average distance to nearest integer ; inside and outside handled the same way ; ; use decomp=256 ; real(p1) = bailout (try 1e12) ; imag(p1) = scaling factor (try 30) ; variable zc used for calculation; coloring done with z ; zc=0, c=pixel, rmax=real(p1), scale=imag(p1) iter=1, rmin=1, z=zc, tot=0: ; ; iteration ; zr = gaussian integer ; r = distance to zr ; zmin = integer with minimum distance ; tot = running sum of r's ; iter=iter+1, zc=sqr(zc)+c, rzc=|zc| zr=round(zc), r=|zc-zr|, tot=tot+r ; ; bailout ; scale average distance to decomp angle ; set "iteration done" flag (iter=-1) ; if ((rzc>rmax)||(iter==maxit)) angle=scale*tot/(iter-1) z=cos(angle)+flip(sin(angle)) iter=-1 endif iter>0 }

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.

Infinite zoom. WMT.N

Jim Muth's Fractal of the Day for October 18th, 2000

PAR file ` A_FractalGoneBatty { ; Fractal of the day, 18-10-00 Rating (6) ; time=0:14:32.72 -- SF5 on a P200 reset=2001 type=formula formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+3.71720703183797900/+2.40733321225409000\ /204985.2/1/125 params=-1.11/-11.1/-11.1/-1.11/0/300 float=y maxiter=2400 inside=0 logmap=240 periodicity=9 colors=000KP7IP5<2>FN3DN2CM0<3>7K05K04J0<3>1H00H00G0\ <3>1D01G00K0<3>2_52d62g62k82oA2tB2xC3zE3zF3zG2zH1zK1\ xL1tN1qP0lR0iU0eV0bX0ZZ0Wa0Tb0Pe0Mh0Jk0Hl<2>08u06w02\ z01z<2>10z45z68x8DuAHrDLoGQlJViMYgOadRgbUkaYqu<3>\ ahgaehcekcbnc_qcWtdUwdRzeTxeSwgSugSugStgSriUrhTqiToi\ TokTnjTl<2>lUjlUinUinUhoVgoVgnZfnencfngflhflje<2>nr\ dnnbnloiaog_qc_qaZr_ZrWXtUXtPVuMVuKTwGTwERsAQo7Qk5P\ g1Ud0Yb0ab0gc0kb0ib0hc0gb0eb0eb0db0b_1ag1an2p3q3Zq\ 3Zm2Wi2Ue1Te0Ye0de0id0kc2lc3ld4nd5nh7oj8ql9qnAroCrrE\ tuGuwHuzKwzNwzQy<2>z_zzezzizzhzzbzzXwzUrzQpzPlzKizJg\ zHc<2>z9Uz6Qz5Nz6Lz7IzAGzBCzCAzD7<3>oH9lIAiJAgKBeLBb\ MB<2>WPDUQDQQEPSENUEMVGJWGJYHHZHF_ICaHBbH<3>2hJ0iK0k\ L0lL1nP3oU5qY8raBteFuiHwmKxrNzvQzzTzzWzxXzs_znzjbzg\ bzfbzdbzcaz`az_bzZbzWazUazRazQQzA }

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.

WMT.N

I still find it fascinating how the boundary of the Mandelbrot set beginns to mimick the bulbs deeper in the seahorse / spiral vally. In the cepter vally this also holds, but with the additional "cepters".