############################################### Charles Crocker wrote: ----------------------

When zooming out there may be big stretches where I can see absolutely no reason to zoom in where he did.

Please note the explanation of this being caused by the setting of the Logmap parameter given by Lee Skinner in his March 27th [Fractint] post: Lee Skinner wrote: ------------------

The easiest way to look at the parent image is to do <Z>, <F6> and set the Magnification and X-Magnification Factor both to 1, and the Rotation Angle and Skew Angle both to 0. If Logmap has been used (as in this case), also go to <X> and set the Log Palette to 2. Anytime you create a new image with Logmap, you need to reset it. That's why you got 2 completely blue screens while zooming out. Change your parent image's Logmap from 45 to 3 [2? - hal lane], and you'll get a much richer picture.

I have not yet actually done the exercise of zooming out of the same starting image twice -- once leaving Logmap set to a large value and again with Logmap reset back to two. If I understand this phenomenon correctly, the visually pleasing Logmap setting used in a final highly zoomed FOTD image can be inappropriate for images created by zooming back OUT from this FOTD image. If the Logmap value is NOT reset these zoomed out images may apparently have many of their pixels rendered in the 'lake' color -- sometimes creating an entirely black (or blue) screen. I believe that when the Logmap value is set to greater than a value of two, that the mapping of: the 512 colors in the color map to: the final iteration values of pixels is non-linear (actually logarithmic.) This change in assignment of colors by the Logmap parameter can apparently make detail in an image 'disappear' just as using an inappropriate color map for an image can. (An extreme example of an inappropriate color map would be having 75% of the entries in a color map be black. This will almost always hide structure that exists in a fractal colored with this particular color map -- and could easily make the structure of an entire fractal become a black screen.) Thanks for collecting, creating and posting the parm and formula files! Now that I have gotten down off my soap box I look forward to creating their fractals. - Hal Lane ######################### # hallane@earthlink.net # ######################### ----------------------------------------------------------

Date: Thu, 29 Mar 2007 22:53:12 -0500 From: Charles Crocker <chasc@pop.gis.net> Subject: Re: [Fractint] here is another one from yesterdays FOTD To: Fractint and General Fractals Discussion

I probably qualify as a deep zoom addict but I haven't gone past a magnification of 1 to the 128th yet. However there can be some very nice pictures that appear along the way. BPZo is an example I really like. BPZo meaning BlackPearl Zoom out. In the past I have been puzzled by some of Jim MUth's examples. When zooming out there may be big stretches where I can see absolutely no reason to zoom in where he did.

Thanks to Ton Koppens and Lee Skinner I now have formulas to match all the parameter files that I now have. During my organizing I ran across Julia1 that I thought was an interesting plain Julia with fancy coloring. In the process I ran the evolver on it to see what happened and got a completely unexpected result. Juliaev1 after applying it once and Juliaev2 after the second application. They meet the self similar test completely. Magnifying an area on the edge of Juliaev1 it appears identical as far as I went. I quit after four maximum zooms into the arbitrary precision range. The calculating slows down radically and what reason is there to go any further if there is nothing new?

There is a Julia set in the neighborhood of this one that is an almost exact replica of the Playboy rabbit. And this one really multiplies like rabbits are supposed to. I'll post it when I find it.

One more note. It seems that there is always something new to learn about Fractint. The description of F6 on the Z screen says it switches to corner parameters. That's the last thing I want to do so I never even considered looking at it.

Charles

julia1 { ; Fractint Version 2004 Patchlevel 4 reset=2004 type=julia center-mag=-1.5e-007/-2.5e-008/0.6666667 params=0.26/0.55 inside=bof61

colors=00000e0e00eee00e0eeL0eeeLLLLLzLzLLzzzLLzLzzzLzzz000555<3>HHHKKKOO\ O<3>ccchhhmmmssszzz00z<3>z0z<3>z00<3>zz0<3>0z0<3>0zz<2>0GzVVz<3>zVz<3>zV\ V<3>zzV<3>VzV<3>Vzz<2>Vbzhhz<3>zhz<3>zhh<3>zzh<3>hzh<3>hzz<2>hlz00S<3>S0\ S<3>S00<3>SS0<3>0S0<3>0SS<2>07SEES<3>SES<3>SEE<3>SSE<3>ESE<3>ESS<2>EHSKK\ S<2>QKSSKSSKQSKOSKMSKK<2>SQKSSKQSKOSKMSKKSK<2>KSQKSSKQSKOSKMS00G<3>G0G<3\

...

G00<3>GG0<3>0G0<3>0GG<2>04G88G<2>E8GG8GG8EG8CG8AG88<2>GE8GG8EG8CG8AG88G\ 8<2>8GE8GG8EG8CG8AGBBG<2>FBGGBGGBFGBDGBCGBB<2>GFBGGBFGBDGBCGBBGB<2>BGFBG\ GBFGBDGBCG000<6>000 }

juliaev2 { ; Fractint Version 2004 Patchlevel 4 reset=2004 type=julia passes=1 center-mag=-1.5e-007/-2.5e-008/0.9861933 params=-0.8591238135929441/-0.05492782372508923 float=y maxiter=2047 inside=fmod outside=0

colors=000000<24>mGOoGPqHQ<3>zKU<25>C46A45834<2>211000000<9>000000000<2>\ 000010030<23>0n00p00r0<3>0z0<25>0C00A0080<2>020000000<9>000000000<2>0001\ 10330<23>nn0pp0rr0<3>zz0<25>CC0AA0880<2>220000000<29>000 }

juliaev1 { ; Fractint Version 2004 Patchlevel 4 reset=2004 type=julia center-mag=-1.5e-007/-2.5e-008/0.9861933 params=-0.1164558854945524/0.01938474684896393 float=y maxiter=511 inside=fmod outside=0

colors=000000<24>mGOoGPqHQ<3>zKU<25>C46A45834<2>211000000<9>000000000<2>\ 000010030<23>0n00p00r0<3>0z0<25>0C00A0080<2>020000000<9>000000000<2>0001\ 10330<23>nn0pp0rr0<3>zz0<25>CC0AA0880<2>220000000<29>000 }

BPZo { ; Fractint Version 2004 Patchlevel 4 reset=2004 type=formula formulaname=mandelbrotmix4 function=ident passes=1

center-mag=+0.30598232092337500/-2.47436852042129000/135634.9/0.9299/-16\ 2.852356708459325/0.732210256330880105 params=1/-2/6/-1/0/0 float=y maxiter=16000 inside=maxiter outside=summ periodicity=10

colors=000VSC<3>OGHMDIKAJMAKOAM000UGLXIL_LK<3>kWInZIqaH<2>ziF<4>jWEgUEdR\ D<3>TGDQEDNBCK8C413000<3>EFAIIDLLG<4>ccWgfZkja<3>zyn<9>e`UcZSaWQ<3>UMH00\ 000000053M<4>5Dc5Ff5Hj<3>5Px<3>5hc5mZ5rU5wP<4>5Zm5Ur5Px<3>5Ed5B`58W56R53\ M000000000b`c<4>lornru<9>YWPWUMVRI<3>OI5<3>YRD`TFbWH<3>kcPneRpgT<3>zpa<4\

...

jdWgaVcZT<3>ROPOLOKJN<2>AAK000000A3M<5>O9dQAgSBj<3>`Fw<3>J_cEdZAjU5oP5j\ N0004aK<3>2JE2EC1AB159007000000000A00<4>O00Q00T00<3>c00<10>L00J00H00<3>A\ 00000000UDG<4>h_9kc7nh6<3>zz0<7>``9YYAWVB }

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