FOTD -- May 23, 2007 (Rating 8) Fractal visionaries and enthusiasts: The four-dimensional HyperMandelbrot set is virtually ignored. And why not? Very little totally new stuff is to be found in it. But is it actually as devoid of new stuff as would first appear? Today's image answers that question with a resounding NO! Today's under-used formula draws the 4-D HyperMandelbrot set, and does some strange things with it. I do not fully understand all the things this formula does, but one thing is certain. It plays some very interesting tricks with the familiar elements of the classic Mandelbrot set. The familiar M-set has been quite well explored, at least down to the level where the slow arbitrary-precision math kicks in, and most of the features to be found in its upper depths have been well investigated. It would be curious indeed if something truly new were to be uncovered in this range. Well, today's image uncovers something totally new. As far as I know, nothing like it has ever been found in the familiar two- dimensional M-set. Today we are investigating the four-dimen- sional Hyper-M-set however, so it is no wonder new things are popping up. I named today's image "Something New" because that's what it is. I rated it at an exceptional 8 because it truly is something new. The calculation time of 55 seconds is on the P4-2000. On the P200 it would take about 3 minutes to finish. But why not forget inconveniences like calculating parameter files? View the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> With full sun and a temperature of 75F 24C, Tuesday was not quite perfect here at Fractal Central; the sky was slightly hazy. But despite the lack of a pure blue sky, the day came so close to having perfect weather that only a professional weather observer would notice the deficiency. The fractal cats most certainly never noticed the gray haze. They were far too busy watching four squirrels that were running around in the yard all afternoon. My day was average. Only the above-average fractal saved it from being a dull day. The next FOTD will appear in 24 hours. Until then, take care, and reasoning about fractals could be unreasonable. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Something_New { ; time=0:00:55.15-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=HyperMandelbrot passes=1 center-mag=-0.11351018609400590/+0.857731703162649\ 10/13846.92/1/-12.5/1.19338289250592311e-011 params=0.33/0.33/1/0/0/5e-015 float=y maxiter=980 inside=0 logmap=40 periodicity=0 colors=000GFp7Jp9LqANrBOrCQsDRsETtFUtGWuHYvIZvJ`wK\ awLcxMdxNfyPhzOjzOkzNlzNmzNnzMmzMkzMizLgyLexLcwK`v\ KYuKVsJSsJQrJOrIMqIKqGGrIJqKLqLNpNPpORpQUoRWoTYoV_\ nWanYdmZfm`hmajlclleqodnlcljbjgahe`eb`c`_aYZ_WYXUX\ VRXTPWRMVOKUMHTKFRGBTIDUJEVKFWLGYMHZNJ_OK`PLbQMcRN\ dSOeTQgURhVSiWTjXUkYVjZWiZXi_Yh_Zg`_g``faaeabebcdb\ dcceccfbdgadh`fgadhabia`jY_iUZiRZhNYhKYgGXgCWf9Wf5\ Ve2Ve2Xc2Yb2Za2_`2a_2bZ2cY2dX2fW2gV2hU2iT2kS2lR2mQ\ 2nP7mRClTHkVMjXQiYVh__gadfcgcchedhgdiheijeilejmfjo\ fjqfkrgktgkugksekrckqako_knYkmWklUkjTkiRkhPkgNkeLk\ dJkcHkbFk`Ek_CkZAkY8kW6kV4kU2nS0kT1hU1eU1bV1_W1XW2\ UX2RY2PY2MZ2J_2G_3D`3Aa37a34b32b3IT9XKEZMG_NH`OJbP\ KcQLdRNfSOgUQhVRjWSkXUlYVnZWo_YpaZrb`scatebwgdyiez\ kgzjfzifzhezgeyfexedwcdvbcuact`cr_brZbrYbrWarVarU`\ rT`rS`rQ_rP_rO_qP`pP`oP`nP`mQakQaiQagQaeRbcRbaRb_R\ bQTcZRbgPapOajX`dd_ZmZTuY } frm:HyperMandelbrot {; periodicity must be turned off a=(p1),b=(0,0): q=sqr(a)-sqr(b)+pixel, b=(p2+2)*a*b+p3, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================
Try colour cycling - seriously weird! Jim Muth wrote:
FOTD -- May 23, 2007 (Rating 8)
Fractal visionaries and enthusiasts:
The four-dimensional HyperMandelbrot set is virtually ignored. And why not? Very little totally new stuff is to be found in it. But is it actually as devoid of new stuff as would first appear? Today's image answers that question with a resounding NO!
[stuff deleted] -------------------- Barry W Smith P O Box 442, Jamison Centre ACT 2614, Australia Tel. (Home & answering machine) (02) 6251 2119 International +61 2 6251 2119 e-mail: barrys@grapevine.net.au
Jim,
FOTD -- May 23, 2007 (Rating 8)
I named today's image "Something New" because that's what it is. I rated it at an exceptional 8 because it truly is something new.
I does indeed merit it's 8. Wonderful image. I'm not as much of a fractal explorer as you are, so can you point out some of the specific things that are new? Lots of images you don't say are new have stuff that is new to me, so I thought I'd ask. Mike [Note to others fractal visionaries and enthusiasts: don't waste time trying this one out small or downloading the completed image. Generate it at the largest size your screen will handle. It improves with size. Not all fractals do, but this one does!]
Michael Traynor wrote:
Jim Muth wrote:
I named today's image "Something New" because that's what it is. I rated it at an exceptional 8 because it truly is something new.
[Note to others fractal visionaries and enthusiasts: don't waste time trying this one out small or downloading the completed image. Generate it at the largest size your screen will handle. It improves with size.
I usually do not generate the FOTD images larger than what is needed for the web pages, but after reading Mike's comment, I decided to also make this one available in a 1024x768 size. Just click the TITLE under the image to view the larger image online. Sincerely, P.N.L. ------------------------------------------------- http://home.att.net/~Paul.N.Lee/PNL_Fractals.html http://www.Nahee.com/Fractals/
It almost looks like a Manowar fractal type. Lee
Something new? Don't you recognize an Octopussy's Garden when you see it? Great! Should be a 9 or 9 1/2.. John W . ----- Original Message ----- From: "Jim Muth" <jamth@mindspring.com> To: <fractint@mailman.xmission.com> Cc: <philofractal@lists.fractalus.com> Sent: Tuesday, May 22, 2007 6:25 PM Subject: [Fractint] FOTD 23-05-07 (Something New [8])
participants (6)
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Barry Smith -
Jim Muth -
John W. -
Lee H. Skinner -
Michael Traynor -
Paul N. Lee