; Date: Mon, 17 Oct 2005 11:45:31 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 17-10-05 (Mandel Variation-6 [6]) ; Id: <1.5.4.16.20051017114653.38ef79a2@pop.mindspring.com> ; --------- ; ; FOTD -- October 17, 2005 (Rating 6) ; ; Fractal visionaries and enthusiasts: ; ; Today's old forgotten formula is an early attempt to examine the ; odd planes of the Julibrot. In a way it succeeds, but its extra ; baggage makes its use more difficult than need be. For today's ; fractal, the formula has created a very unusual variation of the ; Julia set of East Valley of the Mandelbrot set. The artistic ; worth of the image is un-notable, but the mathematical interest ; raises the total worth to a rating of 6. ; ; The p1 parameter places the scene in East Valley of the Mandel- ; brot set, while the p2 parameter slices the 4-D Julibrot in a ; direction very close to the Julia orientation. The p3 parameter ; adds the extra decoration that makes the image mathematically ; notable. The overall effect is one of an endless spiral, only ; one level of which appears on the screen. ; ; I named the image "Mandel Variation-6". A name like 'Julia ; Variation' might have been more appropriate, but names are ; names, and the name I have given the image will be its name ; for all eternity. ; ; Except for those with internet-proficient-but-Fractint-chal- ; lenged computers, rendering today's image will be no problem, ; for it finishes in only 26 seconds, and that is on my tired old ; P200 workhorse machine. Those with amnesiac machines that have ; forgotten how to run DOS programs can see the image by down- ; loading it from the FOTD web site at: ; ; ; ; Sunday turned out milder than expected here at Fractal Central, ; with a lot of sun, a fresh breeze, a few scudding clouds, and a ; high temperature of 66F 19C. The cats were satisfied, though ; not overjoyed. Today is starting sunny but chilly. The cats ; are still sleeping and have yet to comment. The next FOTD will ; appear in 24 hours. Until then, take care, and see the new ; world revealed by fractals. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Mandel_Variation-6 { ; time=0:00:26.26--SF5 on a P200 reset=2004 type=formula formulafile=jim.frm formulaname=ManJul2CPwr inside=255 center-mag=-0.000916065/0.00366617/0.507824/1.0765 params=0.255/-0.0006/1e-010/0.001/-50/10 float=y maxiter=10000 outside=real periodicity=10 colors=000SXkZYheZek_bcT`WMZOFYG8W82VB4UE5TH6SK7RM\ 8RP7MS7HV6CY67`62b58c5De4If4Nh3Ti3Yk2bl2gg4ec6dZ8c\ VAaQC`ME_W8`d3a_RNVn9YiB`eDcaFfYHhUIjYKk`MldNmgPoj\ RpnSqqUrtVilWaeXUYYMRZEKZIbZMtZMuZNuYNuYNuYOvYOvYO\ vYOvYPuZPuZPtZPtZPsZQsZQrZQrZQqZQqZQqZRpZRpZYYZRoZ\ RoZRnZSnZSmZSmZSlZSlZSlZTkZTkZTjZTjZTiZUiZUhZUhZUg\ ZUgZUgZVfZVfZVeZVeZVdZWdZWcZWcZWbZWbZWbZXaZXaZX`ZX\ `ZX_ZY_ZYZZYZZYYZYYZIP1JQ2JQ3JQ3JQ4KQ4KQ5KQ5KR6LR6\ LR7LR7LR8MR8MR9MS9MSANSANSBNSBNSCOSCOSDOTDOTEOTEPT\ FPTFPTGPTGQUHQUHQUIQUIRUJRUJRUKRUKSVLSVLSVMSVMTVNT\ VNTVOTWOTWPUWPUWQUWQUWRVWRVWSVXSVXTWXTWXUWXUWXVXXV\ XYWXYWXYXYYXYYYYYYYYZlXgkYfkYfkYfkYfjYfjYfjYfjYejY\ eiYeiYeiYeiYehYehYehYdhYdhYdgYdgYdgYdgYdgYdfYcfYcf\ YcfYceYceYceYceYbeYbdYbdYbdYbdYbcYbcYbcYacYacYabYa\ bYabYabYabYaaY`aY`aY`aY``Y``Y``Y``Y_`Y__Y__Y__Y__Y\ _ZY_ZY_ZYZZYZZYZYYZYYZ000 } frm:ManJul2CPwr {; Jim Muth ; Creates and rotates ^2 Hyperbrot Figure ; P1 sets point of rotation, P2 sets angle of rotation ; P3 sets power of C z=c=pixel: z=sqr(z)+p1+(p2*(c^p3)), |z| <= 100 } ; END PARAMETER FILE========================================= ; ;