; Date: Fri, 31 Dec 2010 19:34:57 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 01-01-11 (Etched in Numbers [7]) ; Id: <1.5.4.16.20101231193456.12b79a06@pop.mindspring.com> ; --------- ; ; FOTD -- January 01, 2011 (Rating 7) ; ; Fractal visionaries and enthusiasts: ; ; To kick off a new year of FOTD images, we return to the parent ; fractal of the fuzzy image of two days ago, which was created by ; the expression Z^(1.75)+C. This parent has a disconnected mini- ; brot lying some distance southwest of the main body. The image ; of two days ago is located near this minibrot. The parent also ; has a smaller minibrot located much closer to the northeast side ; of its main body. Today's image is located in a kind of valley ; in this smaller, closer minibrot. The name "Etched in Numbers" ; is true of all fractals, and has no particular significance to ; today's fractal. ; ; I have been searching the Mandeloids with exponents between 1 ; and 2 for quite a few years, in the hope that some unexpected ; treasure might lie hidden in one of them. So far the treasure ; has eluded me, but I continue searching. Who knows, one day I ; might find it. ; ; Today's image is hardly a treasure, but it's worth a rating of a ; 7, which makes the calculation time of 3 minutes almost worth ; the effort. The calculation may be totally done away with ; however by viewing the finished image on the currently active ; FOTD web site at: ; ; ; ; And don't forget to keep checking the original FOTD web site at: ; ; ; ; Friday brought thick clouds but warmer temperatures to Fractal ; Central. The temperature of 46F +8C was not quite warm enough ; for the fractal cats however, and they spent half the afternoon ; on the shelf over the heat. My day was pretty settled, as was ; FL's day also. ; ; In the afternoon I spent an hour or so on the internet, checking ; 'Boltzmann brains', which is just about the most ridiculous idea ; our over-educated scientists have come up with -- so far, that ; is. I'll have much to say about these hypothetical creatures ; lurking in outer space in future FOTD discussions. The next ; FOTD will be posted in 24 hours. Until then, take care, and is ; that a disembodied brain coming up behind you? (We cannot prove ; that they are not there.) ; ; ; Jim Muth ; jamth@mindspring.com ; ; ; START PARAMETER FILE======================================= Etched_in_Numbers { ; time=0:02:59.98-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=+0.6043991509829967/+0.5801826859547423\ /1.876538e+007/1/-17.5/0 params=1.75/0/11/0 float=y maxiter=1800 inside=0 logmap=247 colors=000ACIADIAELAGNAIPAKRAMTAOVAQXAS_AUaAWcASeA\ ZgAYiAM_AUfASbAQZAOUAKQAHMADHAADA69A35B69C9CCCGDEJ\ DHMEKQENTFPXFS_GVbGYfH_iHbmIepIgsJitKjtLktMmtNntOo\ tUqtcrumsvttwzuxzvyzwzzxzzyzzzzVJqUHqUGqTErTDrSBrS\ AsR8sR7sS9qTApUCoVDmWElXGkYHiZIh_Kg`LeaNdbOccPadR`\ eS_eTZbUX_UVYUUVVSTVQQVPeNGdMJcLNaKQ`JU_HXYG`XFcWE\ gVDjRCgOBeLAbH9`E9YB8W77T46R66PI7SL8UP8WT9Y_A_hAaq\ BcpBejAbdA_YAYS9VR9SQ9QO9NN8KL8IL8FJ8CI7AH77G74G72\ IB7LEBNHGQKKTNPVQTXTYYWa_YZa_XbaVdbSfdQgfOihMkiJlk\ HnmFonDlkFihHfeIccKa`LZYNWWOTTQQQSONTLLVIIWFFYDDZG\ MUJVQMbMOcNQdNReNTfNUgOWhOXiOZiO`jPakPclPdmzznQgoz\ zpQjpzznPilzzjNiizmgMieLidKibKh`JhcIhYHhcHhVGhcFhR\ EhcEgNDfKDeHCdECcBBc8BzS9zQAzcAzcAzcBzcBzhBzKDzmEz\ SFzWGzZHzbJzfKzjLznMzqNzpOzoPzzPzzQzzQzzmzzmzzmzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|