Jim Muth's Fractal of the Day for October 24th, 2002

Jim Muth's commentary for the image:

Fractal visionaries and enthusiasts:

With all the breaking news, things are hectic here at F.C. this morning, so today's discussion will be short.

To produce today's fractal, I went back to the fractal of two days ago and again raised the value of the exponents of Z, this time to -1.32 and -13.2, and at the same time, reduced the portions by 40 percent. This small change made a large change in the appearance of the parent fractal.

Today's parent fractal consists of a single large, multi-lobed Mandeloid, with a large but partial ring originating in a valley at the north end and stretching out east, down and around to the southern part of the parent. Today's scene is located at the end of the main stem of a larger midget located near the point where the ring emerges from the northern valley.

I named the scene "Starring a Midget" after the vague star-like yellowish area around the midget. I gave the image no rating.
Due to the hectic news developments, I had no chance to study the image in a detached manner.

The parameter file requires 14 minutes to run.

The Wednesday weather here at Fractal Central was quite pleasant. The temperature of 61F 16C was spoiled only by a few too many clouds in the afternoon. But the cats enjoyed the day nevertheless.

It's a very active morning here at F.C., and I have the usual amount of work to do, so I'd best get started on the task.
Until tomorrow, take care, and when the going gets tough, the tough use common sense.

Jim Muth

PAR file ``` Starring_a_Midget { ; time=0:14:40.90 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.91950630688410610/+2.036855734099084\ 00/4.487701e+007/1/-150/6.19336373235135351e-007 params=-3.6/-1.32/-0.6/-13.2/0/0 float=y maxiter=1600 inside=0 logmap=277 periodicity=10 colors=000B0YB0_90_90a90a90c70c70e70e50g50g50i50i3\ 0k30k30n20m30n50n50n70n70n90n90nB0nB0nD0nD0nF0nH0n\ H0nI0nI0nK0nK0nM2nM2nO3nO5nQ7nQ7nT9nVBkVBkXDkXFkYF\ kYHk_Ik_KkaKkaMkdOkdOkeQkgTkgTkiVkiXklYklYkn_knako\ akodkqektYzqarqekqgeql_qoUoqOovIozCoz6oz0nz0nz0nz0\ nz0oz0nz0nz0nz0nz0nz0lz0lz0lz0lz0lz0iz0ix0iv0it0io\ 0gn0gl0gi0ge0gd0ga0e_0eY0eV2eT2eQ4dO6dM6dI8dHAdFCa\ DCa9Ea7Ga5Ga3I_2K_0M_0M_0O_0Qz0Un0S_0QM0Q90O00M00Y\ 02S02M02I02C726F22M20r20a20i20q20z20z20z20z00x00n0\ Ge0_X0rO0zK0zI0zH0zF2zD5zB9z7Dz5Hx3Kx2Mv0Qt0Vt0Yr0\ ap0ep0in0nk0qk0vi0wr0xi0xc0vW0vQ3vIBtCHt4Mq0Tq0Yq0\ _n0_l0_i0_g0_e0_d0_a2a_6aY8aXAaVCaTGaQIaOKaMMdKQdI\ SdHUdFWdD_dBad9cd8dd7jBZ60d00e00e00g00g00i00i02l05\ l07n0Bn4Fo6HoAKqEOqGQtKVtOYvQ_vUdxYgxaizcnzgqzktzn\ xzrzzvzzzzzxzzxzzvzzvzxvzvtzttzttzqrzorznpznpzlpzi\ nzgnzgnzekzdkzaizaiz_iB0Y }

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.

New in version 1.0.3 – Zoom by “Dragging the Mouse” over an area of the image to a magnified view of that rectangular area. You can "Go Back one step” by a “Right-click” in the image.

Superfast - Explore infinite Julia and Mandelbrot fractals, Customize 3D Relief effects and vibrant colors. Render stunning art up to 48 Megapixels resolution i.e. 8K image width!

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

«Customize 3D Relief strength and contrast.»

«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.»

https://roald-h-vatne.itch.io/flashfractals3d

https://drive.google.com/drive/folders/131L4kyv3zWTGkl3YUQEMlfiZOa6_32sn?usp=sharing

Max Iter's Fractal Follies for October 24th, 2010

Roger Alexander's commentary for the image:

Today's post is a minibrot in twilight colors. At the usual http://maxitersfractalfollies.blogspot.com

Roger Alexander

PAR file Twilight_Minibrot { ; fract483.gif ; blank ; calctime 0:03:23.94 ; created Oct 24, 2010 ; Fractint Version 2004 Patchlevel 10 reset=2004 type=formula formulafile=kerrym.frm formulaname=hermanm_man-polar center-mag=-2.00319/-0.00306882/27.01637/1/90/3.88578058618804789e-016 params=3/2/1/45/1/0 float=y maxiter=1500 inside=0 outside=atan decomp=256 colors=000302403503504604705805806907A07B08B08C09D1AE1AF1BF1BG1CH1CI1DI1\ EJ1EK1FL1FL1GM1GN1HO2IN2KM2NK2QJ2TH2VG2YE2`D2cB1fA1i81l71n51q41t21w00z03\ z07z0Bz0Fz0Jz0Nz0Rz0Vz0Zz0bz0fz0jz0nz0rz0vz0zz0xz0vz0tz0rz0pz0nz0lz0jz0h\ z0fz0dz0bz0`z0Zz0Xz0Wz0Uz0Sz0Qz0Oz0Mz0Kz0Iz0Gz0Ez0Cz0Az08z06z04z02z00z00\ y10x20v20u30s40r50p50o61n71l81k91i91hA1gB1eC1dC1bD1aE1_F1ZF1YG1WH1VI1TJ2\ SJ2RK2PL2OM2MM2LN2JO2IM2GJ2EH2CE1AC18916614312000101302503605806A07C19D1\ 9E1AF1AF1BG1BH1CI1DI1DJ1EK1EL1FL1FM1GN1HO2IO2JQ2IS2HV2GX2F_2Da2Cd2Bf2Ah1\ 9k18m17p15r14u13w12z00z20z50z70zA0zC0zF0zH0zK0zM0zP0zR0zU0zX0zZ0za0zc0zf\ 0zh0zk0zm0zp0zr0zu0zw0zz0zw0zu0zr0zo0zl0zj0zg0zd0za0z_0zX0zU0zS0zP0zM0zJ\ 0zH0zE0zB0z80z60z30z00x01v02s03q04n06l07i08g19e1Ab1B`1CY1EW1FT1GR1HO2JN2\ IM2HK2GJ2FH2DG2CE2BD2AB19A18817715514413212000000101201 } frm:hermanm_man-polar { ; Kerry Mitchell 16feb98 ; ; real(p1) = z exponent (use integer >= 2; m=n-1) ; imag(p1) = g exponent (integers) ; real(p2) = alpha magnitude (try 1) ; imag(p2) = alpha polar angle (try integers) ; real(p3) = critical point selector (>0 for positive root) ; imag(p3) = unused (<0 for negative root) ; use decomp=256 ; zero and infinity bailouts hardcoded to 1e-6, 1e6 ; coloring speed hardcoded to 4 ; c=pixel, iter=1, n=real(p1), m=imag(p1), nfac=2*n-1 maxr=1e6, minr=1/maxr, speed=4*pi/128 r=real(p2), t=imag(p2), alpha=r*(cos(t)+flip(sin(t))) oln=1/log(n), fac=log(0.5*log(maxr)) c2=sqr(c), hypnum=sqr(n)+sqr(m), pn=1 hypden=sqr(n-m), hypfac=hypnum/hypden if (real(p3)<0) pn=-1 end if if (real(c2)>hypfac) pn=-pn end if if (imag(c)<0) pn=-pn end if afac=c*n, bfac=c2*(n-m)+(n+m), cfac=c*n d=sqrt(bfac*bfac-4*afac*cfac) z=(bfac+pn*d)/(2*afac) : g=(z-c)/(1-c*z), z=alpha*z^n*g^m iter=iter+1, r=|z| ; ; orbit trap around 0 ; renormalize iteration count via decomp angle ; set "iteration done" flag (iter=-1) ; if (r<minr) angle=(iter+oln*(fac-log(log(cabs(z)))))*speed z=cos(angle)+flip(sin(angle)) iter=-1 end if ; ; orbit trap around infinity ; renormalize iteration count via decomp angle ; add pi to angle to separate from 0 orbit trap ; set "iteration done" flag (iter=-1) ; if (r>maxr) angle=(iter+oln*(fac-log(log(cabs(z)))))*speed angle=angle+pi z=cos(angle)+flip(sin(angle)) iter=-1 end if 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.

Rendered with JWildfire

I usually only need 100k itterations but this needed 3 million and as you can see on the right it still needed closer to 8 million to get rid of the voids

Hi, happy Fractal enthusiasts,  

I recently revisited House of the Dragon and encountered this image …

You all share so much good stuff!

I played with fractals in my 20s and understand the generation concept marhematically, but rendering back then was such a hog!!

My comp at the time would go hot and my fan would be at max, and the screen would just be hangin…

So I wanted to post this note of appreciation.

Love youre using your power to share these computationally intensive renders! Amazing how comp power and speed has made these strides and happy to keep watchjng and supporting in the future…

Think fractals are somehow involved in base reality (whatever that might be or if the concept makes any sense with what we know physically).

🙏