FOTD -- November 15, 2004 (Rating 6) Fractal visionaries and enthusiasts: With today's image we tackle the manfn+zsqrd formula, a formula that multiplies Z by one of the functions, adds Z^2, then adds C. The result of this trickery is a formula that draws fractals that are basically distortions of perturbed Mandelbrot sets. In fact, some functions actually do draw perfect M-sets as well as the familiar perturbed sets. In today's image I used the 'trunc' function, which is a function I very rarely use. Like the 'floor' 'ceil' and 'round' functions, it rounds off the calculation and therefore breaks the image into large discrete chunks. I usually find the fractals created by these functions too chopped up to be of much interest, but today's parent fractal is intact enough to be considered a single entity, which makes it worth further investigation. The parent fractal of today's scene consists of a single large Mandelbrot set surrounded by smaller sets. Some of these smaller sets are pretty much intact, others are cut off. Today's scene lies in the northern branch of the Seahorse Valley of a midget that sits some distance west of the large M-set. Only the west half of the midget is there; the east part has vanished into limbo. The name "Truncated Minibrot" refers to the larger cut-off midget in whose Seahorse Valley today's scene lies. Perhaps because I was surprised at how well the 'trunc' function worked, I rated today's image at a 6. The render time of just under 17 minutes results in an overall worth of 35. By download- ing the finished GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> time can be saved and the overall worth can be forgotten. A sunny but chilly Sunday here at Fractal Central, with a temperature of 50F 10C, was just fair enough to let the cats enjoy over an hour in the yard. Their evening moods reflected the improved conditions, making an extra treat unnecessary. Today is again starting chilly, but it is expected to turn warmer by afternoon. It looks like another acceptable day for the duo. As for me, the moderate amount of work before me will be behind me by noon. Then it's on to the fractals. Very possibly I'll find something of real interest. Until next time, take care, and know that every fractal takes you closer to infinity. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Truncated_Minibrot { ; time=0:16:56.73--SF5 on a P200 reset=2004 type=manfn+zsqrd function=trunc passes=1 center-mag=-2.061222634101924/+0.03859064620506061\ /3.444947e+012/1/55/0.0 params=0/0 float=y inside=0 maxiter=6000 bailout=100 logmap=1213 periodicity=10 mathtolerance=/1 colors=000FXFFTFFQFFOFFJFFFFG7FI3FG3FF3F9DF4OM0XTI\ O`YFgm6rjAuiDvfPxdPycUzdPyfNxg9vg6vi6jj6`l6Pl6Fz0O\ z0X0o43dA6XFAOJDDOI4SL0XVmfcjYjgQrdIzaAz_1zX0v0zf4\ gSGPDS60c00d00d00f00f30g70gA0gD0lC0oA0sA1v96z79z79\ z67z67z63M00L00J00L06M0CM3DJ0FG0GD0IA0J70L40M10Q40\ T70YA4`CAcFGgILjLQmMVfLT_JSSJQLIQDGP6GO0FM0FM0Qzz0\ zo0vc1oS9gIF`MFSzGvzDumSiSd_6rP9MjC0zG0xL0pP6iTAaY\ GVaLOfQGjV9_c6Oj3Cr00y04p67gDA_LDQTGI`J9gMIaPPYSXT\ VcPYjL`rGcyCCY91T0JL1`DCr4Mz0Xz0Vs0Tl0Sg0_d0da0jY0\ rV0xS0zT0rV9fXIXYSL_`9_i0gr6oyCxzJzzPzyGvj9rX0mI0d\ G1YGAQGJJGSCG`DFQFDIFD9FADF9GF7LF6OF3QF1VF0YF0`TIX\ g`TvsPzzMjDlfLccQV`XMXcFTi6Qo0Ou0Vr0ao0gm0oj0ui0ia\ 4YXGMQSALaLPmVSydVziYzm`uramvdgzg`ziTzlMzmGzuPuzYl\ zfczoTv0Xv0Yv6`vCavIcvOfvTgx_izdmzYrzSuzMjz_`zlQzy\ IzzSzm`zPiz0Qz07z0Dz0Jz3Pz9VzG`zMVzQPzTLzXFz`9zc4z\ fJzlYzrlzxzzzzzzzzzzzrzzi } END PARAMETER FILE=========================================