; Date: Sat, 23 Oct 2004 11:53:39 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 23-10-04 (Julia Tree-Rings [6]) ; Id: <1.5.4.16.20041023115449.2a67e862@pop.mindspring.com> ; --------- ; ; FOTD -- October 23, 2004 (Rating 6) ; ; Fractal visionaries and enthusiasts: ; ; Today's image takes us to the julfn+zsqrd formula of Fractint, a ; formula that gave me a fight when I tried to wring a respectful ; fractal from it. I finally won the battle by investigating the ; Mandelbrot variations of the formula and finding the parameters ; likely to produce interesting Julia sets by noting the coordi- ; nates of the interesting places in the M-sets. ; ; Several functions produced interesting Mandelbrot sets. I ; decided to check the Julia sets associated with the shoreline of ; the M-set that results when the 'cabs' formula is applied. The ; first Julia set I checked was a winner. This winning set is an ; extension in the remaining two dimensions of a point on the the ; eastern shoreline of its M-set. The set is illustrated in ; today's image, which shows the entire Julia set, and looks sur- ; prisingly like yesterday's image. I named today's image "Julia ; Tree-Rings". I thought of tree rings the moment I saw the image. ; ; Such an easily created image can hardly be rated very far above ; average, but I put a bit of extra coloring effort into the image, ; and that coloring effort raises it to a slightly-above-average ; rating of 6. ; ; The rings that fill the inside of the Julia set appear very inte- ; resting as they are. It might appear that they would grow even ; more interesting as one zooms deeper, but a single inzoom will ; reveal that they are fractal in nature, and continue dividing ; into ever smaller similar rings. The rings are ultimately dis- ; appointing, but they do however produce some interesting patterns ; in the areas where they converge, and create images much like ; yesterday's 'moirefan' image. ; ; The render time of 6-3/4 seconds is unusually fast, and when com- ; bined with the rating of 6 results in an overall worth of a ; grossly inflated 5333. Those who are concerned about inflation ; can download the image from the FOTD web site at: ; ; ; ; The weather remained cloudy here at Fractal Central on Friday, ; but the temperature warmed to 57F 14C and the wind was light, ; which made things pleasant enough for the fractal cats to enjoy ; several hours in the yard. Today is starting sunny, and we are ; promised more sun and warmer temperatures throughout the after- ; noon. I hope the good weather actually holds up. The cats do ; not like broken promises. ; ; I promised myself an actual day off this weekend, and with only ; one minor job on the shelf beside the desk, it looks like I'll ; keep that promise. Luckily, I do not consider playing with ; fractals to be work. The next playful image will appear right ; here in 24 hours. Until then, take care, and do palm trees have ; rings inside their trunks that tell the tree's age? ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Julia_Tree-Rings { ; time=0:00:06.75--SF5 on a P200 reset=2003 type=julfn+zsqrd function=cabs center-mag=-1.249e-016/6.66134e-016/0.8090289/1/57\ .5/1.310757058448075e-014 params=-0.07/0.23 float=y maxiter=1200 bailout=9 inside=0 logmap=yes symmetry=none periodicity=10 colors=0000AN0FT0KZ0PeAUkKZqUckchdmmYvrSzzQmmPccNU\ UMPPKKKJELKIOLNRMRUNOXOM_PKbPHdQFgQDjRBlRIhVOdYV``\ `YcfUgmQjsMmyJpoQnfWlYakPhiGng7tf9ngAhhCbiDXjFRkGL\ kUM`gNQuOFsNGqNGoMGmMGkLGiLGhLGDzXChcBSjABq`Tvzizs\ juljqejmZjiTjeQgiNdmKapHZtFWwGVxHUxITyISyJRzKQzKPz\ QQuWRqaSmgTimUesVayVYJAiG9kD8mB8o87q67sUKTpX2kYAfZ\ IadHXiGSnFOdKKWOGMSCDW84_6AcFHbNNaVU`b__bY_bW_bV_b\ T_bR_bP_bN_bM_`EfZ7lXCkVGjTLiRPhPTgOYgMafKeeIjdGnc\ FrcGs_GsXGtUGtRHuNHuKHuHHvEIvAIw7Iw4Iw1Jv6JvBKvGKv\ LLvQLvVMu_MudNuiNunOusOuwnIKlLLjOMiQNgTNfWOdYPc`Qa\ bQ_eRZhSXjTWmTUpUTrVRuWQwWUqbXli`gpcbvbcubdubetbft\ bgtbhsbhsaisajrakralramqanqanqcondolfojgoghpejpckp\ alpZnpXoqVpqSrqQsqOtqMonOjkQehS`eUXcWS`YNY_IVaETbF\ WcGYcG_cHacHccIfcJhcJjdKldKndLqdMsdMudNwdNydQtbTp`\ WlZZhYadWd`UgXSiTRoCkkGjgKjcOj_SjWWjS_jOciKgiGkiCo\ i8si5wi7vk9ulAHb9MZ8RV7WR } ; END PARAMETER FILE========================================= ; ;