; Date: Wed, 05 Feb 2003 10:26:33 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 05-02-03 (Classical Minibrot [5]) ; Id: <1.5.4.16.20030205102938.29c7a3de@pop.mindspring.com> ; --------- ; FOTD -- February 05, 2003 (Rating 5) ; ; Fractal visionaries and enthusiasts: ; ; It's a bit hard to find an outstanding characteristic in today's ; FOTD image that might serve as the basis for a name. It's a ; simple scene of a classic quadratic midget located in a very ; un-classic fractal. When nothing better came to mind, I named ; the image "Classical Minibrot". ; ; The parent fractal, which was created by combining portions of ; Z^3.5 and Z^5.5, is anything but classic however. It consists ; of a long, narrow, large but shapeless body of open 'water' with ; a well-defined but rather distorted M-set lying some distance ; to the south. ; ; At first glance, the shapeless body appears totally non- ; critical, and therefore would not be expected to hold intact ; midgets. But in the world of fractals, things are not always as ; they seem. At least two rudimentary valleys appear on the ; western shore of the shapeless body. At first glance, these ; valleys also appear as though they would hold no midgets. The ; appearance is deceiving. ; ; Curious as to what other than midgets might lie in these ; valleys, I zoomed into the southern one and focused on an ; interesting feature. In this feature I noticed a pair of ; seahorse-like spirals with the symmetry that usually indicates ; the presence of a midget. I zoomed into the center of symmetry ; and found today's image. ; ; It's not a great fractal, in fact it's merely average, but it is ; still a significant improvement over yesterday's abysmal image, ; and if the present trend continues, we'll be back in positive ; territory within a day. ; ; One way to see the classical midget is to run the parameter file ; and wait 6 minutes or so. A faster way is to let Paul and Scott ; render the image and download it from one of their FOTD web ; sites at: ; ; ; ; and at: ; ; ; ; Tuesday morning at Fractal Central began rainy. It cleared ; shortly after noon, and the temperature reached a relatively ; mild 50F 10C, but high winds kept the fractal cats skittish, and ; they came inside after only a few minutes in the yard. They ; slept by the heat for the rest of the day. This morning is ; starting notably colder, though the high winds have died down. ; It's too early to say what the dynamic duo will do. ; ; What I'm going to do is first finish a bit of work and then try ; to find a better fractal. I've got a few ideas of where to ; look, but no success is guaranteed. Whatever I find will be ; tomorrow's FOTD. Until then, take care, and the quest for the ; perfect fractal might never end. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE================================ Classical_Minibrot { ; time=0:06:11.96--SF5 on a p200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-0.21829760034047560/-0.145214873755854\ 30/1.211417e+007/1/-152.5/1.45066905959945203e-007 params=3.67/3.5/3.7/5.5/0/0 float=y maxiter=1200 inside=0 logmap=86 periodicity=10 colors=000MEALB6L93ND7PGBQKESNIUQMVUPXXTZ`X_c_afcc\ jgdmjfqnhtriuuatjVp`OkRHfHAb7D_8GX9IWALVBOUCQTCTSD\ VREYQF`PGbOGeNHhMIjLJmKKoJKnMImPHlSFkUEjXCi_BhaAgd\ 8fg7ej5dl4co2br1at0Zs5WrATqEQpJNoOKnSHmXElaBke8jj6\ jn8ekA`hBWeDRbFN_GIXIDUK8RL4PTBV_H`gOfnUkiTfdSb_RZ\ VRVQQRLPNHPJE_KCiKBhIBhHBhFBgEBgCBgBBgAAf8Af7Af5Ae\ 4Ae2Ae1Ae0G`3MW5RR8XMAbHDgCFm7Ir3Kp6Jo9JmBJlEIjGIi\ JIgMIfOHdRHcTHaWH`ZGZ`GYcGXeGzAYwCXtEXqGXnIXlKWiMW\ fNWcPWaRVZTVWVVTXVRYVSWUSVTTUSTTRUSQUQPVPOVONWNMWM\ M_LRVNMROHNPDJQ8FR4MVISZWZbidevchvbkvamvapv`rv_uv_\ wvSkvL`vEQvGUsHXqJ`nKclLfiNjgOmdPpbQn`QmZQkXQjVQhT\ QgRQePQdNQcLTdKVeKXfKZfK`gKbhJdhJfiJhjJjjJfcJbYJZR\ JWLJUPHSSGRVFPZDOaCMdBLgAJiAIkAHmAGoAFqAEsAIuEMwIP\ xMTyPXzT_zXcz`fzcezeezfezgezheziezjfzegzagzYhzUizP\ izLjzHjzDhzGfzIdzLbzN`zP_zSYzUWzWUzZSz`RzbPzZNzWLz\ SJzPIzLGzIEzECzBAz79z4BzH } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } ; END PARAMETER FILE================================== ; ;