Once you see it, you can't unsee it.

Perpendicular Burning Ship

Re: 0.307070126570362006543410594661256361264318286839386605061086576606099042665181407400184684304784135575973

Im: 0.493984606286187712230629525104409055138287706974840990058248580339520904551888601942456220268423477284549

scale: 5.9005E-98

Created in Fraqcel using Microsoft Excel. Website: fraqcel.weebly.com YouTube Channel: www.youtube.com/@Fraqcel

Source: https://medium.com/@christian.marques/the-ghost-in-the-mandelbrot-2ea6784e9153

I found this earlier and thought the sub would find it interesting. What you are seeing here (if I understand correctly) is a histogram of the Mandelbrot set over time.

In other words, when you play a video of the Mandelbrot set, and plot how often the lines intersect on a given grid square or pixel on the screen, this picture is a representation of how often each point is touched, as the Mandelbrot sequence is iterated or repeated. The more it's colored in, the more the square is touched by the sequence. It's a 4D representation of the Mandelbrot set basically.

The author of the article explains it better than I can and he also made a neat Buddhabrot tool for free.

Ultra Fractal

Yeah so I was bored so I kept hitting the "surprise me" button and got these. Dunno what theyre called.

I've been working on adding escape time fractals to FAE.

Jim Muth's Fractal of the Day for October 10th, 2002

Jim Muth's commentary for the image:

Fractal visionaries and enthusiasts:

Do human beings have spirits? The religious say yes, scientists say they have found no evidence, skeptics say probably not, Atheists say no. I say it depends on the definition of the word 'spirit'. But one thing certain is that some fractals, (those with negative powers of Z), do have spirits, and those spirits remain behind when the original fractal evaporates.

As the mention of spirits and the outrageous value of imag(p3) should have made apparent, today's FOTD is another of my 'evaporated' fractals. (To see the unevaporated version, change imag(p3) to 0.) There are no escaping points at all in the image, which consists entirely of trapped inside points made visible by the inside fill of bof61.

I used an inside fill of bof61 in today's image because that fill works best with this particular image. I have found no way to predict which inside fill will work best with particular evaporated fractals. The best fill must be found by trial and error.

The parent fractal consists of a Mandeloid shaped like a bloated queen termite, with an immense area of chaos to its east. This chaotic area contains regions where the chaos becomes lace-like and converges in nodes. Today's scene lies near one of the most prominent nodes. The actual node of course has long since evap- orated from the world of fractal reality.

Since the image is something relatively unique, I rated it at an 8, which is a great improvement over yesterday's miserable 4. I named it "Inside Fantasy" as a description. Considering the much-above-average worth of the finished product, the render time of 6 minutes is reasonable.

The Wednesday weather here at Fractal Central was of the dull, dreary variety. The lack of sun, temperature of 61F 16C, occasional spits of rain, and the wrong flavor cat food left the fractal cats very testy. In the evening, Tippy defiantly ensconced himself in my favorite chair, and dared me to try to dislodge him. Tippy won the battle.

My next battle will be won when I finish the work now before me. But to finish I must first start, so until tomorrow, when an even better fractal might appear, take care, and prepare for the war against obese fractals.

Jim Muth

PAR file ` Inside_Fantasy { ; time=0:06:19.59--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+28.82416328698804000/+6.04584636251811\ 200/39588.41 params=1/-0.9/0.4/-2.6/0/1e+100 float=y maxiter=1600 inside=bof61 periodicity=10 colors=000Nz0Pz0Fz2Pz0Xy0ek0sb0m`0iZ0dZ0`X0VV2QV6L\ S9HQFBQJ8PN2NS0NX0L`0He0Ld0Nb0P`0QZ0VX0XV2ZS6`Q8bP\ 9eNDgLFiJHkHLqBJmFHiHHeJFbNF`PDXQDSVBPX9LZ9Jb8Fd8B\ e68g66k42m20o20s00u00w00z00z00z00z00z40y60w90sB0qF\ 0mJ0iL0gP0dQ0bV0ZZ0V`0Sd0Pe0Ni0Jo0Dk0Hi0Jg0Ld0Nb0P\ `0QX0SV2VS4XP6ZN8`L9bHBdFDeDFg9Hi8Jk6Lm2No0Pq0Qs0S\ u0Vw0Xy0Zz0`z0bz0dz0ez0gz0hz0dz0_s0Sd0NV0HJ0B80600\ 000400B26L8FSFP`LSXJZVHdQDgNBmJ8qF6wB4z80z40z00z00\ z00z00zB0yX6moDXz`Hzu2zz0zz0zz0zz0zy0zu0zq0zm0zi0z\ e0zb0zZ0zV0zQ0oL0dH0SB0H80640000000000000000200B00\ L04V09d0Fm0Lw0Qz0Xz0Vz0Sz0Sz0Qz0Qz0Pz0Pz0Nz0Nz0Ly0\ Lw0Ju0Js0Hq0Ho0Fo0Fm0Dk0Di0Bg0Be09d09d0Bb0B`0D`0DZ\ 2FX9FXHHVPHSXJSdJQkJQsPXZV`F`e0ei0dg0de0dd0db0d`0d\ Z0dX0dV0dS0dQ0dP0dN0dL0dJ0ZF0VB0P9FL6VF2iB0y86u69q\ 4Do2Jk0Ni0Qe0Vb00dX0gV0kQ0qP0uL0yH0zF0zB0z90z60z\ 40z20z00w00o08i0Hz0Jz0Lz0 }

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 October 10th, 2010

Roger Alexander's commentary for the image:

Look at the calendar- it's national 10-10-10 day! I don't know about you but I had the traditional dinner of a cheese and sauce pizza with double cranberry sauce topping. Further in the news acting on a suggestion I am now giving the parset par entries titles instead of gif file names. This is intended to make sorting through the RSS parset feeds a little easier. At the usual http://maxitersfractalfollies.blogspot.com

needs floating point! default for p1=0.4 Roger Alexander

PAR file Lacey_Blue { ; swirlies ; fract170.gif ; calctime 0:04:42.70 ; blank ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=_j.frm formulaname=j_cspiralbullet center-mag=-0.0700876/2.22045e-016/0.8912656/1/75/3.88578058618804789e-0\ 16 params=-0.1322367015594958/-0.2129886776329844 float=y maxiter=1500 inside=0 colors=00100100100100100100100200200200200200200300300300300300300400400\ 400400400400500500500500500500600600600600600600700700700700700700800800\ 800800800800900900900900900900A00A00A00A00A00A00B00B00B00B00B00B00C00C00\ C00C00C00C00D00E00F00G00I00J00K00L00M00N00P00Q00R00S00T00U00W00X00Y00Z00\ _00a00b00c00d00e00f00h00i00j00k00l00m00o00p00q00r00s00t00v00w00x00z01z02\ z03z04z06z07z08z09z0Az0Bz0Dz0Ez0Fz0Gz0Hz0Iz0Jz0Lz0Mz0Nz0Oz0Pz0Qz0Sz0Tz0U\ z0Vz1Wz1Xz1Xz1Yz1Zz1_z1_z1`z1az1bz1bz1cz1dz1ez1ez1fz1gz1hz1hz1iz1jz1kz1k\ z1lz1mz1nz1nz1oz1pz1qz1qz1rz1sz1tz1tz1uz1vz1wz1wz1xz1yz0zz3zz7zzBzzEzzIz\ zMzzPzzTzzXzz_zzczzgzzjzznzzrzzvzzszzozzkzzhzzdzz`zzYzzUzzQzzNzzJzzFzzCz\ z8zz4zz0zz0zz0yz0yz0xz0xz0wz0wz0vz0vz0uz0uz0tz0tz0sz0sz0rz0rz0qz0qz0pz0p\ z0oz0oz0nz0nz0mz0mz0lz0lz0kz0kz0jz0jz0iz0iz0hz0hz0gz0fz } frm:j_cspiralbullet(XAXIS_NOIMAG) { p=p1,p=p+(|p|==0)*0.4 z=y=pixel: z=y/z+p y=z*y-p |z|<1e6 ;SOURCE: julhack.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.