; Date: Mon, 26 Jan 2004 10:56:47 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 26-01-04 (Spiral Mesa [8]) ; Id: <1.5.4.16.20040126105907.38ffad8c@pop.mindspring.com> ; --------- ; ; FOTD -- January 26, 2004 (Rating 8) ; ; Fractal visionaries and enthusiasts: ; ; In the discussion of the "Whirling Devilish" fractal of two days ; ago I remarked about the straight edge cutting through the upper ; right portion of the image. I commented that some very unusual ; chaos lies in this area but that the exploration there is too ; slow to be practical. Well, for today's image I have turned ; impractical and wandered into the chaos along the straight-edge. ; Today's FOTD is what I found there. ; ; I have rarely seen an image with such contrasting parts, the ; dull reddish rocky lower part contrasting as starkly as it does ; with the ethereal blue celestial spiral filling the upper part. ; The lower part of the picture reminds me of one of those mesas ; found in the southwest desert area of the U.S. The upper part ; reminds me of nothing other than a fractal spiral. Combining ; the two impressions, I named the image "Spiral Mesa". I feel ; that the rating of an 8 is justified, though the extreme slow- ; ness holds the overall value to a lowly 4. ; ; Perhaps the most incredible thing about the image is that it is ; produced by Z^1.003. The graph of this expression is basically ; a straight line, and linear expressions do not make fractals. ; It is only at very large values of Z that the slight curve in ; the graph becomes noticeable, which is why a maxiter of 20000 is ; necessary to reveal the chaos. ; ; An unfortunate effect of the high maxiter is the 3-hour render ; time. The wait can be eliminated however by downloading the ; completed GIF image from Paul's web site at: ; ; ; ; I sent the image file to Paul several hours ago, so the image ; should be posted shortly after he receives this discussion. As ; a matter of interest, I made a 0.65-degree change in the ; rotation of the image since I sent it. This was done so that ; the border between sky and mesa would be level. To see a ; perfectly straight horizon, run the parameter file; to see the ; image without a wait of several hours, download it. The only ; difference is in the orientation, which is barely noticeable. ; ; Thickening clouds and cold temperatures prevailed all day here ; at Fractal Central on Sunday. The high temperature of 18F -8C ; and lack of sun kept all thoughts of outdoors from the minds of ; the fractal cats. They were quite content to lie by the heat ; source and occasionally ask for food. This morning we have 6in ; 15cm of fresh snow on the ground and a temperature of 17F -8C, ; which makes the outdoor conditions worse. The forecast is for ; freezing rain, sleet and more snow. I feel sorry for the duo. ; ; There is no reason to feel sorry for myself however. The work ; is caught up, leaving me little to do but sweep the powdery snow ; and explore the world of fractals. Until next time, take care, ; and don't forget to remember. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE================================ Spiral_Mesa { ; time=3:08:09.19--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotBC1 function=floor passes=1 center-mag=+0.84105158773950410/-0.082216007167982\ 33/10307.65/1/-176.85/6.14521628028441569e-012 params=1.003/0/1040/1500 float=y maxiter=20000 inside=255 logmap=4824 periodicity=10 colors=000_00ODNQCMPBLT9JU8IV7HX5GY4FX2FZ3EZ4D_4D_\ 5C`6BW6BY7AZ8A_89a98bA8dA7eB7bC6hC5eD5kE4hF3lE4gR5\ lE6gT7kE8aD9kDAfDBkDCjQDjDEeOFjCG_CHiCIiRJiCKdULhU\ McBNhBOcBPhBQbCPgDPgPPgPOgQOgUObUOgUNbUNgUNgYNgUMg\ NMgNMYOMgPLgQLgRLYSLgTKgTKgUKgVKgWJhXJiYJg0EkYJa1N\ qYSdJWvY`wUexYddIcxdbyAayk`yo_yrZrnUkkQdhMYeIRbEK_\ ALZCMYEMYFNXHNWIOWKOVLPVNPUPQTQQTSRSTRSVSRWTQYTQ_U\ P`UPbVOcVNeWNfWMhXMjXLkYKmYKnZJpZJq`KpaLpbMpdNoeOo\ fPohQoiRnjRnlSnmTmnUmpVmqWmrXltYluZlvZltYmrYmqXmoX\ mmXmlWmjWmhWmgVmeVmdUmbUm`Um_TmYTmWTnVSnTSnRSnQRnO\ RnNQnLQnJQnIPnGPnEPnDOnBOnAOnEQpIRqJQtLSuMTvNVwOWx\ PXyRZzS_zTazUbzVczXezYgzZiz_kz`mzbozcpzdqzerzfszht\ ziuzjvzkwzlwzkwzjvziuzhtzgszfrzeqzdpzcozbnzamz`lz`\ kz_jzZizYgzXezWczVazU_zTYzSWzRUzQUzPUzQUzRUzSUzTUz\ UUzVUzWUzTUzQUzNVzLWzI_zFdzDhzAlz7pz5tzCuzIvzOwzVw\ z`xzfyznzzlyzjxzhwzfvzemz } frm:MandelbrotBC1 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(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|