FOTD -- May 30, 2016 (Rating A-8,M-8) Fractal visionaries and enthusiasts: After an adequate 'holiday' week-end here at FC, the fractals are once again coming to life. Today's emerald gem lies on the negative X-axis of its parent fractal, which resembles an M-set with a severe infection of a cubic virus. The parent's main bay is relatively intact, but the larger buds, especially the main period-2 bud, are becoming distorted. In fact, this bud already has a kind of island appearing inside it. Today's scene is located at the east end of an almost totally cubic minibrot lying on the main stem just beyond the large minibrot. The minibrot at the center of today's image is perfectly cubic, but the number sequence of elements surrounding it is messed up, with alternating doubling and tripling rather than all tripling. This irregularly increasing number of elements inspired the name "Cubic Conundrum". I rated the art and math both at an 8, which makes the image well worth the couple minutes required to run the parameter file. As for the art aspect, the pattern around the cubic minibrot is one of the most striking I have yet seen. The math is nothing really new, though even after working with today's formula for several years, I am still not sure why the iterated expression, (sqr(z)*recip(z^(a)+b)), does exactly what it does. But regardless, along with the MandAutoCritInZ formula, it supplies about half my fractal surprises. The 'holiday' weekend went well enough here at Fractal Central. Memorial Day itself turned out partly cloudy with a temperature of 86F 30C and a passing, garden watering type thunder shower in the afternoon. I passed a good part of the day reading and pondering, though I found nothing new to ponder too deeply. The next FOTX will be posted possibly as soon as tomorrow, the first day of June. Until whenever, take care, and prepare for better fractal things to come. Jim Muth jimmuth@earthlink.net START PARAMETER FILE======================================= Cubic_Conundrum { ; time=0:07:53.89 SF5 at 200MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=-1.924224968577973/0/1.62e+011 params=3\ /-6/0/0 float=y maxiter=2000 inside=0 logmap=248 symmetry=xaxis periodicity=6 mathtolerance=0.05/1 colors=00000JizzjzzzzzmzRzmzozzzmzrzzzlznzzzkqjzsh\ ktNjWLhbJgjHeqFdxLfmRhbXjSblHhn7imDjlIkkNljTmiYnhb\ oggqYWsOKtF8zCEz9JzUOzUTzcYzcIzm3zzZzzfvzdrzbmz`hz\ ZczX`zVYzTWxRUwMStHPqCMm8IhBFcECVH9MJ8IH8GF8MD8RB7\ Y97b77i5Ti4ZRKZ8_cLScXKchCcotwHIwFJwEKwCLRiEXmBap8\ fs5kv3ffMbRdZCwXMpVVjTcdSlZTg`UbaVYbWTcFGIGHMHIPHJ\ SIKVJLYJM`KNcKOfJQiJSkJUmJVoIXrIZtI`vIaxjs3en9`jFW\ fKSbQNZVIV`EReDXbDa_CfXCkUCpRFlTHiUKfVMcWO`X0fRKaU\ cYWwUY`cxTTmLIbE8SKCUPFWUIYZL_cOahRcmUerXfcdiQllCt\ nV`hlIcpOWsTPwYHzbAwJ_t0ycbIRdZEfoN_mVUkbOijIgrCeV\ PO7m77m77m67m67m67e57m57f48m48g38h38i28i28j18k18k1\ 9i2KiD9k2Am3mo3Aq4ms4Bu5mw5mz6mz6cz7cz7mz8Uz8Uz9Uz\ 9UzAUzAczBczBczCczEczDczDczDczDhzDhzDhzChzCmzCmzCm\ zCmzCmzvmzqmzmmzimzdmz`mzXmzTzzOzzKzzGzzGzzFzzFzzF\ zzEzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } 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=========================================