FOTD -- August 22, 2014 (Rating A-8,M-7) Fractal visionaries and enthusiasts: In the Z^(2.003) Mandeloid there are curious rectangles near the X-axis just east of the large minibrot, which are especially prominent in the Julia sets of the area. Today I wondered what exists in this same area of the Z^(2.002) Mandeloid. What I found is a kind of proto-rectangle, filled with a slew of intricate and quite decorative detail. As is the case with the Z^(2.003) rectangle, a tiny change in the 'C' value makes a great change in the image. Today's image shows one of the more impressive aspects of this protorectangle. The reason for the name "Rectalgle's Cousin" is obvious. The calculation time of a zippy 35 seconds will pass in a flash and a half. And as always, calculation may be totally avoided by checking the web sites. The finished image is posted at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> After a torrential thunder-storm yesterday, which flooded the basement of the local city hall, today was much calmer here at Fractal Central, with partly cloudy skies and a temperature of 81F 27C. The three fractal cats, (Nicholas and Jasmine have been joined by a four-month-old kitten probably named Lida.), spent most of the afternoon resting after spending the morning becoming more familiar with one another. The next FOTD will be posted in due time. Until the time is due, take care, and why can't I shake the nagging impression that the U.S. government itself is responsible for much of the continuing unrest in the world, especially the Middle East? Jim Muth jimmuth@earthlink.net START PARAMETER FILE======================================= Rectangle's_Cousin { ; time=0:00:35.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=slices.frm formulaname=JuliaN passes=1 center-mag=+0.00010247/+0.064913191/1380 params=2.002/0/0/0/-1.746294/0 float=y maxiter=320 inside=0 logmap=64 periodicity=0 colors=000JSPIRPHQPGPPGOPGNRGMSFLSEKSDJOCIJAHG9GE8\ FC6EA5D84C62B41A2091080070060050040030020010000000\ 000000000000000000x7AqA9m68h38c47Z46U56P55K54F54A4\ 3622502301100JhzF_mBRc7IU39KjjJffHccG``FYYDVVCSSBP\ PALL8II7FF6CC5993662331NXSJSOGNKDIG9EC698344wU`sSY\ oQWkOUhMRdKP`INXGKUFIQDGMBDI9BF79B56734312dA2a91_8\ 1Y81W71U71S61P61N51L51J40H40F30C30A20820610410200K\ cVI_SGXPFUNDQKBNIAKF8GC6DA5A7365132RJbKETD9J649KEd\ _g1Xd0Va0SZ0QW0OT0LQ0JN0GK0EH0CE09B0780450220AlD9i\ C9gB8dB8bA7_97Y96V86T75Q75O64M54J53H43E32C32921711\ 41020Ep9Dm8Ck8Ci7Bg7Bd7Ab69`69Z68X58U57S47Q46O45M3\ 5J34H34F23D2gtjdpiami_jiXfhUchS`hPXgMUgKRgPX`UaVZg\ OclIhrBmw5`n3Oe1CY0BW0AU0AS09R09P08N07M07K06I06H05\ F04D04B00133A03802601501300107tV5jP4aK3SF2JA1952wJ\ 1qH1kF00D01B029037045053061ymCpeAgZ8ZS6QL5HE3871ey\ __qVViRQaMLVIFNDAF9574Rue } frm:JuliaN {; Jim Muth b=p1, z=p2+pixel, c=p3: z=z^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================