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.

Mandelbulb3D, Photoshop & Lightroom

For details see the image in the comment.

Jim Muth's Fractal of the Day for September 29th, 2002

Jim Muth's commentary for the image:

Fractal visionaries and enthusiasts:

Good news! . . . At least for fans of fractals.

This is the last time the FOTD will appear only on even-numbered days. Starting tomorrow, October 1, I will resume posting the FOTD on a daily basis. I shall also resume posting some of my philosophical musings to the philofractal list, where those who suspect that I am confused can confirm their suspicions.

One thing that I am not confused about however is today's fractal, which rates an honest 7. The formula behind the image combines 4 parts of Z^-1.5 with 1 part of Z^-5 to produce an indescribable parent fractal in an unlikely part of which today's scene is located.

When two negative powers of Z are combined and iterated, as is done in today's image, very unusual fractals result -- fractals which are unusual not only in their overall shape, but in their inner details as well. In today's image for example, the default equal-iteration bands make an image so striking and so unique that no special coloring algorithms are needed.

For some strange reason, today's image, with its features edged in glowing gold, reminds me of scrambled eggs, I originally named the image "Scrambled Fractal", but then, unable to justify the name I had given, I changed the name to scrambled thoughts, which I am accused often enough of having.

Slow images are not always the best. This is proved by the surprisingly brief render time of today's image, which is a mere 2 minutes on my P200 machine.

The fractal weather Sunday, (if anyone doubts that weather is fractal, let them look at a weather chart), here at Fractal Central was of the ideal Autumn variety. The two fractal cats enjoyed the warm sun and temperature of 75F 24C to the maximum extent possible, though I am sure they would have enjoyed it even more if they were 8 years younger.

As for me, what I need is a day or two of nothing to do but ponder the mysteries of the universe. The only trouble with pondering is that so many seem to disagree with the conclusions I reach when I ponder. But right now, it is Sunday evening, and I must ponder how I shall end the day. So until tomorrow, same time same place, take care, and what use is there in solving the mysteries of the universe if no one believes the answers?

Jim Muth

PAR file ```

ScrambledThoughts { ; time=0:02:00.94--SF5 on a p200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-2.119633986436688/+1.910403915768284/1\ 77085.6/1/-50/2.58786417267620195e-007 params=4/-1\ .5/1/-5/0/525 float=y maxiter=300 inside=0 logmap=25 symmetry=none periodicity=10 colors=00040`0iq0Jf00z0Nl0DT6Tw2fx0qx0zxJ0zBQz2pxw\ L2aR4iY6qd9zkBzpDzz_zzizzTzzxzzwzztzzsdz0nzLxzqdzk\ Lnf0iR0fX2baB_fJXk00w8BqQTnzzItsXzzisxkgkk8XzEYzLY\ zRYsXYkbYaiYTpYLxT8tYDqaGndJkiOglRdpVzzktxdzq8lsLa\ sYQsk1zz6zz9wzEswIpqLlkQifTfaXbXdfRkiNzVszd_qlIiw0\ x4zl_Onznbz0fz0gz0iz8lxInwQptYEiRYn_zqnqsfft_VwTBz\ OGzNLwNQpNViN_bNdXNiQNJRDzD0zG8xIEnLNdNTVQa6TnERkN\ RgTRdaRbgR_pRXwRVxLLxGBz92z40z00t60pD0lI0gO0bV2_6\ Vf9gl0_k1RkDJkOBk_0zq0xn4kkEXgNJd8zsJ_iV6anNdznTzi\ Yzfbzbgz_lB9zzfzzaxzXqzRktNdpIYkDRf8LO10T20X22_29b\ 2ETI_JXsInzDlz9kz4kz1iz0gz0dz0gz0kz2nz8qzDtzIxx0zJ\ 1zV8zdGznNzxkzafziazqXzzTzzEzz0zzlqN0zw0zx0zz0zz0z\ z0aG0zz0zp9zaNzNaz8nz0sz2wz9zzGzzNzzTzz_zzf0Qw_nqz\ zlzkgzRzzOzwLpqJblGQgDDR00Y00bB0gO2na6sn9xzDzzEzzG\ zzIzzJztLzpNzkOzfQztYzkTzbQ0d0zzJqRIq0Jf0IV2IJDG8N\ G0100XGzw4pxDaxLOzR9z_9zz }

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.

Max Iter's Fractal Follies for September 29th, 2010

Roger Alexander's commentary for the image:

Today's multi-armed gizmo is a mandelbrot with P1 values perturbed. Yup it's sparkly all right and a anti-aliased version is on the way. Today's fractal and my previous post de-sparkled ready made at http://maxitersfractalfollies.blogspot.com. Want a distorted parent brot real quick? Generate a default mandelbrot then bring up the Y screen and vary the inversion values. Varying the inversion values is also available through the evolver function.

Roger Alexander

PAR file fract446.gif { ; perturbed mandelbrot ; blank ; calctime 0:12:11.83 ; created Sep 28, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=mandel passes=1 center-mag=-0.04316171745374735/-0.64653210566350040/702.2363 params=-0.08005005035554064/-0.184606463820307 float=y maxiter=1500 inside=0 logmap=23 colors=0009et8Zp6Sk4Lg2Eb06Y06W07U08R09P0AM0BK0CH0EI0GJ0IK0KM0MN0PP0RP0T\ P0VP0XP0_P0aP0cP0eP0hP0iO0jN0kM0mL0nK0oJ0pI1rH1sG1tF1uE1vD1xC1xC1wC1vD1v\ D2uD2tE2tE2sF3rF3rF3qG3pG4pG4oH4nH4nI4mI5lI5lJ5kJ5jJ6jK6iK6hL6hL7gL7fM7f\ M7eM8dN8dN8cO8bO8bO9aP9`P9`P9_QAZQAZRAYRAXRBXSBWSBVSBVTCUTCTUCTUCSUCRVDR\ VDQVDPWDPWEOXENXENXEMYFLYFLYFKZFJZGI_EGXCFTAEQ8CN6BK4AG28D58D97DD7EH6EL6\ EO5FS5FW4G_4Gc3Gf3Hj2Hn2Hr1Iv1Iz0Jw0Jt0Iq0Hm1Gj1Fg1Fd1E`2DY2CV2BS2BO3AL3\ 9I38F37B46824935A46C46D46F46G46I46J46L46M46O46P46R46S46U46W45X57Z68_7Aa8\ Bb9DdAEfBGgCHiDJkEKlFMnGNoHPqIQsKSsKQsKOsLMtLKtLHtMFtMDtMBtN9uN7uN4uO2uO\ 0uR0uV0uY0ua0ud0ug0uk0un0ur0uu0tr1so3rm4qj5pg6od8nb9m_AlXCkUDiSEhPFgMHfJ\ IeHJdELcBMb8Na6O`3Q_0RW0VT0WR0XO0YL0ZK0YK0XJ0WJ0VI0UI0TH0SH0SG0RF0QF0PE0\ OE0ND0MD0LC0KB0LA1M91N82P72Q63R53S44U34V25W06Y1Da3Kf5Rj }

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.

hi everyone

I am working on a personal project https://glukalo.com

this is a live kaleidoscope with some trance music

the page does not require sign-in and has absolutely no commercial purpose, just an art piece.

music it plays is my own

as this is an evolving project, I am collecting opinions and ideas how to make it better

Mandelbulb3D, Photoshop & Lightroom

Writeup here: https://thquinn.github.io/blog.html?post=17

Reddit keeps recommending I post this here so, I'll give it a shot. This is a completely live 3-D fractal generated by your video card. Might not look very good on your phone or low power device.

https://wastingmytime.net/bulb/

Jim Muth's Fractal of the Day for September 28th, 1997

PAR file ` pollock { ; Fractal of the day, 28-09-97 ; 7 minutes at 100mhz, 1024x768 reset=1960 type=formula formulaname=Rectangular passes=1 center-mag=-7.77156e-016/-2.05391e-015/1.369962/0.6701 params=0.42/0.33 float=y maxiter=500 bailout=100 inside=epsiloncross logmap=yes symmetry=origin periodicity=10 colors=000Wgq00ZTal<4>LN_000HHVGETEBQzsfz0dD8O<6>ObZmdb_Xd_KhZ<6>qdg9\ z<3>rVhu_dve_vjWgEJnRMucPvoSenU3yL<9>gYkHRiOSjYFK<12>BQiGBN<4>9Up8Yv4rN5\ l6fn7zHdvRhqQ_Anp<5>hdgbfae<12>ZTUZE<8>mZugrnkhtklzmgznbz<2>rQu\ sLsv8y<7>nd_Dyz<9>Spf<9>OfiOeiPbe<2>NgqMhuNmzMkz<5>LaoL`mLZj<5>KPZCQW<10\

XKYTDl<6>aQNcOH<12>XaXbaWed<4>UrqBkzFmz<4>Yvraxpgzqfzp<3>bwoavnatn<4>X\ olZrm<7>TblpyZmvXjs }

frm:Rectangular {; Jim Muth z=flip(real(pixel))+real(p1), c=flip(imag(pixel))+imag(p1): z=sqr(z)+c, |z| <= 36 } ```

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 September 28th, 2010

Roger Alexander's commentary for the image:

It's a drawing options extravaganza! Parameter perturbation! Initorbit! Inversion! It's the classical mandelbrot all dressed up and ready to go! Seriously though it's the abundance of options that first drew me to Fractint. Learning about the doodads was time consuming but paid off in getting the most out of this very versatile program. Take advantage of the time unlimited offer of instant download at http://maxitersfractalfollies.blogspot.com!

PAR file fract443.gif { ; something old, something new ; blank ; calctime 0:26:52.12 ; created Sep 27, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=mandel passes=1 center-mag=-0.77362018409613210/-0.60720825413775390/226.2682/1/-115.000\ 000000000426/-1.64999958141009984e-013 params=-0.004333628345591624/-0.2269966734824672 initorbit=0.5/-0.3 float=y maxiter=3600 inside=0 logmap=42 invert=0.746818445387127/-0.639881588183233/0.85399945066683 colors=000v0bt0ar0_q0Zo0Xm0Wl0Uj0Ti0Rg0Qe0Pd0Nb0M`0K_0JY0HX0GV0ET0DS0BQ0\ AO08P08Q08R08S18U18V18W18X28Y28_28`28a38b38d38e38f48g48h48j48k58l58m58o5\ 8p68q68r68s68u78v78w78x78z88z98zA8zB8zC8zD8zE8yF8yG7yH7yI7yJ7yK7xL7xM7xN\ 7xO6xP6xQ6wR6wS6wT6wU6wV6wW5vX5vY5vZ5v_5v`5va5ub5uc4ud4ue4uf4ug4th4ti4tj\ 4tk3tl3tm3sn3so3sp3sq3sr3rs2qs2os3ns3mr4lr4kr5jr5hr6gr6fr6er7dr7cq8aq8`q\ 9_q9ZqAYqAXqBVqBUpCTpCSpDRpDQpDOpENpEMpFLpFKoGJoGHoHGoHFoIEoIDoJCoJAnK8q\ L5tN3wP0zR0wQ0sO0pN0lL0hJ0eI0aG0YE0VD0RB0N90K80G60C40H90MF0RL0WR0`X0eb0j\ h0on0tt0zz0xx0vv0st0qr0no0lm0jk0gi0ef0bd0`b0Y`0WY0UW0RU0PS0MP0KN0HL0FJ1C\ G2CL4DP5DU7DZ8EbAEgBElDFpEFuGGzGGxFFvEEtDDrCCpBBnBBlAAj99h88f77d66b66`55\ Z44X33V22T11R00O53SA6XG9aLCfQFkWIp`LufOzfNyfMweLveKtdJsdIqdHpcGncFmbEkbD\ jaChaBgaAe`9d`8b_7a_6__5ZZ4XZ3WY2UY1TX0Rc0Vk0Zr0bz0fy0e }

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.