FOTD 09-09-10 (Negative Minibrot [7])
FOTD -- September 09, 2010 (Rating 7) Fractal visionaries and enthusiasts: Today's image shows a normal minibrot in the upper left and an anti-minibrot in the lower right. It's rather rare to find such an evenly matched pair this close together, so I had no choice but to color the scene and declare it FOTD for September 9. The name "Negative Minibrot" describes the image pretty accu- rately. The rating of a 7 is based mostly on the mathematical interest. I put little effort into the coloring. The calculation time of 1-3/4 minutes is well within reason. As always, the finished image may be viewed at leisure on the FOTD web site at: <http://www.Nahee.com/FOTD/> The wind was a bit blustery here at Fractal Central on Wednes- day, but everything else was near perfection, with brilliant sun, only a few small cottonpuff cumulus clouds, low humidity and a temperature of 81F 27C. The fractal duo of cats enjoyed things to the fullest. My day was satisfactory. FL's day was pretty good also, though she really could use some rain on her gardens. The next FOTD will be posted in 24 hours. Until then, take care, and not only will technology be unable to save us, it might actually be our downfall. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Negative_Minibrot { ; time=0:01:45.45-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=-0.6979490206349266/+0.3485895250927979\ /4.57942925e+008/1/90/0 params=5/500000/0/0 float=y maxiter=2400 inside=0 logmap=70 periodicity=6 colors=000zczybzxazv`zt_zrZzpYznXzlWzjVziUzhTzgSzf\ RzeQzdPzcOzbNzaMz`LzbKzaJz`Iz_HzZGzYFzXEzXDzWCzVBz\ UAzT9yS8xR7wR6uQ5sP5qO5oN5mM5kL5iL5gK5eJ5cI5aH5_G5\ YF5WF5UE4SD4RC4QB4PA4O95N95M85L75K65J55I45H36G16F2\ 7E37F48G58H69I79J7AK7AL7BM7BN7CO7CP8DQ8DR8ES8ET8EU\ 9FV9FW9FV9GV9GUAHUAHTAHTAISAISBJRBJRBJQBKQBKPBKPCL\ ODMOEMOFNOFNOGOOHOOIPOJPOJQOKQOLROMSNNSNNTNOTNPUNQ\ UNRVNRVNSWNTWNUXNUXNWYMXYMYZMZZM_ZLa_Lb_Lc_Ld`Ke`K\ f`KhaKiaJjaJkbJlbJncImbJlaJkaJk`Jj`Ji_Ji_JhZJgYKfY\ KfXKeXKdWKdWKcVKbUKaUKaTL`TL_SL_SLZRLYQLXQLXPLWPLV\ OMVOMUNMTMMSMMSLMRLMQKMQKMUILXHL_GLbFKeEKhCKkBKnAJ\ q9Jt8Jx4Iw7JwAKwDLwFMvINvLOvNPvQQvTRuWSuYTu`UucVvf\ UueVudVucWubWubWtaXt`Xt_Yt_YtZYsYZsXZsXZsW_sV_rU`r\ T`rT`rSarRaqQbqQbqPbqOcqNcuMeqNcmOajP_fQYcRW_SUWTS\ TUQPVOKXKMWMNWNOWOPWPQWQRWSSWTTVUDAXDAYCAZBAZA9_99\ `89a79b69c58d69c69b6Ab6Aa } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } END PARAMETER FILE=========================================
Great coloring and interesting math. Thanks for posting it Jim. It inspired me to make an image where you can see the minibrot and anti-minibrot in 3D. http://www.fracton.org/fmlposts/minibrot_and_not.html -- Mike Frazier www.fracton.org
participants (2)
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Jim Muth -
Mike Frazier