; Date: Thu, 19 May 2016 20:04:52 -0400 (GMT-04:00) ; From: Jim Muth ; Subject: [Fractint] FOTX -- May 19, 2016 ; Id: <29505625.1463702692611.JavaMail.wam@elwamui-muscovy.atl.sa.eart ; hlink.net> ; --------- ; ; FOTD -- May 19, 2016 (Rating A-7,M-8) ; ; Fractal visionaries and enthusiasts: ; ; Today's image shows a little of what can be done with minibrots ; of the seventh order when they are calculated in a new way. The ; formula will reveal the new way, which I discovered several ; years ago while making up new random formulas, most of which ; drew beautiful blank screens. ; ; When fractals go above the quintic level, they quickly begin to ; all look the same, and by the time we reach the tenth order, the ; difference between orders is hard to notice. But look at what ; lurks in fractals of the seventh order, (and higher orders as ; well), when we do something new with them. Not only do we have ; a near perfect minibrot, but there is a very interesting ; extended pattern surrounding it, partly derived from the parent ; quadratic Mandelbrot set. ; ; This opens an entire new world of fractal exploration, at least ; for those who seek minibrots. It is also possible to have ; fractals of fractional orders without those annoying ; discontinuities, as well as fractals of negative orders. I have ; just recently begun exploring this stuff, and I'm sure I'll find ; more new discoveries, not only with today's formula, but with ; several new formulas I am working on, but have not yet worked ; the bugs out of. ; ; It's such a pleasant day here at FC that I will skip my regular ; comments about controversial things and enjoy the final rays of ; sunshine along with FL and the fractal cats. ; ; Today turned out quite pleasant here at Fractal Central, with ; partly cloudy skies, a temperature of 72F 22C, and sunshine that ; was brilliant between the clouds. The fractal cats took full ; advantage of the weather by sleeping through the afternoon, ; while FL puttered in her garden and I searched the internet for ; things of interest, which there is no shortage of. The next ; FOTD will be posted in the not too distant future. Until then, ; take care, and eventually righteousness will prevail, but how ; will we recognize it when it does? ; ; ; Jim Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= WhoSaid_it_wasDull { ; time=0:04:20.78 SF5 at 200MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=-1.763934523347755/+0.02813687742880176\ /7.566265e+009/1/-27.5000157382336603/1.05747547\ 304718692e-005 params=7/200000000000000.0/0/0 float=y maxiter=3600 inside=0 logmap=99 periodicity=6 colors=000KFhPGlUGoZHscIwgIzcFr`CjX9bU7VZ9SbBPfDNk\ FKoHIsJFwLDkR9_W6Oa3Cf0TjHimYypmprnhsn_uoSvoJxpByp\ BtoBonBjnBemB`lBWlBRkBMk9Id7EZ5AT36N13H87GEAGKEFQH\ FJDDDAB669038UBVNPYHb_BpaPqdbrgorjmlflgckb_iYXhTTg\ OQfJNVaRKsVQmYWh`accfZflUirPlwKnhXkUhhGteMLLLMIKNG\ JODJPBIQ8HR6GS3GS1PTHYTXfTldVkbWj`XiZYhlTNyP1hVJT`\ `DfqFhmGjjHkgKjdNjaPiZSiWViTXhQ_hNahLc`WdTeeLofEyi\ CukBrmAoo8lq7is6fk7dd7bX8`Q8ZXQOcgEjy47sg6pb6nY6lT\ 6mS6mS6mS7af8RtIVuSYva`wkcxufynbwhZvbVtWRsQNqKJpEG\ oKEqPDrVBs_Atd9vj7wo6xt5yBVfSLZgBRw1Jq6LkBNfFP`KRW\ OSVPTUPUUPVTQWSQWSQXRQYQRZQR_PR_OR`OSaNSbMScMScU_`\ `fZhnXouVnoSniQndOmZMmUKmOImJGjIHgHIdGJbFK_ELXDMUC\ NSCORDMRDLRDKRDIQDHQDGQDEQDDPDCPDAPD9PD8yWytYxoZwk\ _vf`ubbuYctUdsPerLgrGhqCip7jo3ko5ll6mj7mh8ne9ocAoa\ BpZCqXDqVTeegVphToiSojQokPolNomMonLooJnpInqGnrFnsD\ ntCntBnsCo_D_RD`ID`AD`FEd } 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========================================= ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint ;