FOTD -- January 14, 2002 (Rating 4) Fractal visionaries and enthusiasts: Today's FOTD, which is yet another aspect of the same midget that appeared in the past two days' FOTD's, could have been named something like "Hypodermic Needle" or "Mosquito Proboscis", but such names lack the immediate impact of "Elliptic Dagger", the name that I gave the image. How, one might ask, can a dagger be elliptic? Daggers are supposed to be short, pointed knives with both edges sharpened. Well, the dagger in today's image, like nearly everything else in FOTD fractals, exists only in the mind of the beholder, and therefore can seen as anything the originator and beholder desire. (But perhaps fractals exist also only in the mind of the beholder. And the beholder . . . where does he exist . . . if he exists at all?) A dagger can be elliptic when it is a slice of a Julibrot hole sliced in the Elliptic direction, which is defined by real(c)imag(z), when the slice looks even remotely like a dagger. Today's image meets these qualifications, thus the name. (I named this particular Julibrot orientation 'Elliptic' because the slice in this orientation through the origin of the Z^2+C Julibrot vaguely resembles an ellipse flattened on one end.) Unfortunately, the remnant seen in today's FOTD image resembles hundreds of perturbed Mandelbrot midgets that I have found and discarded, so I could rate it no higher than a 4. But it's still worth the incredibly short time required to render the image from the attached parameter file. The color palette is the same one that appeared in the past two days' FOTD views of this particular scene. On my rejuvenated P200, the 21-second render time of today's fractal rivals yesterday's record breaker. The download of the GIF image file takes a bit longer, but is also more convenient. The download may be found at one of the following two sites on the W.W.Web: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> With a temperature of 45F 7C, the Sunday weather here at Fractal Central was sunny and mild enough, but the high winds kept the fractal cats house-bound. They passed the day sleeping by the radiator, waking only long enough to give me a few angry glances. The standard tuna treat finally put them in a more congenial mood. Well, it's Monday morning and another week of work has started. I find myself with only a minor stack of work at the moment, but that could change at the ring of a telephone. Until next time and next FOTD, take care, and the Mandelbrot set is as close to an indestructible object as it is possible to come in this or any other world. Jim Muth jamth@mindspring.com jimmuth@aol.com START 20.0 PAR-FORMULA FILE================================ Elliptic_Dagger { ; time=0:00:21.70--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=multirot-xz-yw-new passes=b center-mag=+0.00000000425235697/-0.000000077765461\ 31/9631454/0.8318/64.5084990131079223/-23.71969529\ 41318102 params=0/90/2/0/-1.99909595/0/-1.99909595\ /0 float=y maxiter=1000 inside=255 logmap=35 colors=000ZWoYTsXTqWToVTnUTmTTlSTlRTkQTkPTjOTjNTiM\ SiLRhKQgJPfJOeINdIMcHLbHKaGJ`GI_FHZFGYEFXEEWDEVDCU\ CATF6QFDPAKQ4SP0ZO0dV0l`0rf0sc0s`0uY0uV0vS0vP0xM0x\ J0yG0yD0zA0z70z40z3Cv0Yr0sl0zg0za0zX0zS0zM0zI3zJ4z\ L6zM7zO9zOAzPCzQDzSFyTGxTGsVLoVOjXQfXTaXYYY`TYcPYf\ L_jG_mC`p7`s3`x0az0az0az0Pz0Cz0Az09z07z06z04z13z31\ z41zdCVzL0zJ0yI0rG0jG4cF7XDCPDGICLAAP3AS4IO6OL7VI9\ `DAgACm7Cs4Io7Ol9TiC_fDdcGj`IoYJjVLgSMcPO`MOYJPTGQ\ QDQMASJ7TG4TC1V90X60XJ0OV0GL69Q39X09a090zA6j9IT9VC\ 9z0Or0GzDzzAzz7ux6lu3dp0Xm0Pi0Gu9fr6`o3Vm1Pj0Jg0DJ\ D0P91T43Y16a07aOjcG`d9Sf1IxPmmjLjYIiLFg7CdYJfSIfOG\ fIFfDDf9CGYL0XF7c7Oi0co0su0um0vf0v_3xS7yLDyDIz6Oz0\ SuAVpJXlSYf`_ai`Yradsdlsgssjzvmzzpzzszzouzjjzf`zaQ\ zYGzVPz_Xzcczgjzjdzg_zfTzcOzaIz_CzYJzXPzXVzV`zVgzV\ mzTszTyzTzzYzzazzfzzjzzozzszzzzzzzzzzzzzzzzzzzzziz\ iIzO0z1czVczMczDzz4zzG000 } frm:multirot-XZ-YW-new {; Jim Muth ; 0,0=para, 90,0=obl, 0,90=elip, 90,90=rect e=exp(flip(real(p1*.01745329251994))), f=exp(flip(imag(p1*.01745329251994))), z=f*real(pixel)+p3, c=e*imag(pixel)+p4: z=z^(p2)+c, |z| <= 36 } END 20.0 PAR-FORMULA FILE==================================