; Date: Sun, 01 Oct 2006 22:55:43 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 02-10-06 (New Low Record [5]) ; Id: <1.5.4.16.20061001225657.29a7b96e@pop.mindspring.com> ; --------- ; ; FOTD -- October 02, 2006 (Rating 5) ; ; Fractal visionaries and enthusiasts: ; ; Today's image is more a curiosity than a work of art. The name ; "New Low Record" has nothing to do with the weather. It refers ; to the exponent of Z in today's fractal, 1.05, which is the new ; low record. I have never before found a midget in a Mandeloid ; of such a low order. ; ; And what do midgets in this range look like? As today's image ; shows, they look like little more than lopsided ovals centered ; in a splash of total but semi-orderly chaos. I chose a color ; palette with very narrow and sometimes clashing color bands to ; emphasize the confusion. ; ; The question might arise as to how I manage to find the midgets ; in such unpromising fractals as today's parent fractal. To see ; the difficulty, zoom out of today's image to a magnitude of 0.5 ; while keeping the same center coordinates, and see if any ; visible sign exists that a midget might lie at the center of the ; frame. Nothing is there but waves of chaos. ; ; But Fractint is very versatile, and has built into it a secret ; method of finding hard-to-find midgets. Take the hopeless ; outzoom with its waves of chaos, change the 'outside' option ; from 'iter' to 'fmod', with a proximity factor of 0.1, make sure ; the 'logmap' is off, and re-calculate the hopeless image. ; ; Surprise! The location of the hidden midget is now indicated by ; a bulls-eye. Simply continue zooming into the center of the ; bulls-eye until the midget is reached. The location of other ; hidden midgets lying nearby is also apparent. ; ; These 'fmod' bulls-eyes do not always lead to midgets, sometimes ; they lead to bottomless spirals, but they lead to midgets often ; enough to make the 'fmod' outside option one of the most useful. ; I must congratulate the one who thought of putting it into the ; program. ; ; The question arises of why I would want to find such chaotic ; midgets in such low-order Mandeloids. The reason is just for ; the fun of seeing how low I can go. My goal is to find a midget ; in a Mandeloid with an exponent of Z less than 1.01, but that ; might be impossible. ; ; I could rate today's image no higher than an average 5. It has ; no center of attraction and only a vague overall theme. The ; elements near the shoreline of the midget sub-divide so rapidly ; that they soon disintegrate into fractal sand. ; ; The render time of 13 minutes is a bit slow. But the image may ; be viewed in its completed form on the FOTD web site in almost ; no time. The FOTD web site may be found at: ; ; ; ; A partly cloudy and warmer day, with a temperature of 66F 19C, ; here at New Fractal Central on Sunday went un-noticed by the ; fractal cats, who spent most of the day staring and sniffing at ; the hole in the floor by the radiator pipe, waiting for the ; mouse to pop out again. Unfortunately for them, the mouse is ; now cat-wise, and is unlikely to show itself in such dangerous ; territory. When the evening treat time came, I wondered if the ; cat duo might have preferred mouseburgers. ; ; My day was as pleasant as things can be expected to be in this ; far from perfect world. The work is caught up, albeit temporar- ; ily, and the fractals are in no danger of running out. The next ; fractal will appear in 24 hours. Until then, take care, and the ; human eyes never see all that lies before us. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= New_Low_Record { ; time=0:13:06.91--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 center-mag=-0.2055129638\ 737225/-5.1312228660223/6.741629e+007/1/-117.5/0 params=1.05/0/-37/10000 float=y maxiter=10000 inside=0 periodicity=10 colors=000Pr1Pp1Oo1Nm1Mk1Mj1Lh1Kg1Je1Jc1Ib1H`1GZ1G\ Y1FW1EV1DT0CR0CQ0BO0AM09L09J08H07G06E06D05B0490380\ 360240130010bwb_r_XmXUiURdRO_OLWLIRIFNFCIC9D969634\ 3bZnaYl`Xk_WjZViYUgXUfWTeVSdURcTQaSP`RP_QOZQNYPMWO\ LVNKUMKTLJRKIQJHPIGOHFNGFLFEKEDJDCIDBHCAFBAEA9D98C\ 87A769658557446334223112001zYNoSJeMFVHBLB7A53nSclR\ bkQajQ`iP_hOZgOYfNXeNXdMWbLVaLU`KT_KSZJRYIQXIQWHPV\ HOTGNSFMRFLQEKPEKODJNCIMCHLBGJAFIAEH9DG9DF8CE7BD7A\ C69B68957846746635534423312211100sdSqbRoaQm_PkZOiY\ NgWMeVLdUKbSJ`RIZPHXOGVNFTLESKEQJDOHCMGBKFAID9GC8E\ A7D96B85964753542321110B_Q9VM8RJ6MG5ID4D9296143uRR\ TDDoDgmCekCciBbgB`eAZcAYa9W_9UY8TW8RU7QS7OQ6MP6LN5\ JL5HJ4GH4EF3DD3BB29928716514303101g7I`6FV5CP4AI37C\ 25612i8Fg7Ef7Ed7Dc7Db6C`6C_6BZ6BX5BW5AKYeJYfIWdHUb\ GT`FRZEQXDOVCNTCLRBKPAIN9HL8FJ7DH6CF6AD59B47936724\ 5133100011IR4Ty2Sw1Ru1Qt1 } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100, p=real(p2)+PI q=2*PI*floor(p/(2*PI)), r=real(p2)-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|