; Date: Fri, 16 May 2008 17:53:20 -0400 ; ; To: fractint@mailman.xmission.com ; cc: philofractal@lists.fractalus.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 17-05-08 (Under the Equinox [8]) ; ; Id: <1.5.4.16.20080516175621.2b7fc97e@pop.mindspring.com> ; --------- ; ; FOTD -- May 17, 2008 (Rating 8) ; ; Fractal visionaries and enthusiasts: ; ; On a recent visit with fractal lady to one of the nearby antique ; emporiums, I came upon an old book printed in 1856 and titled ; "Wells's Familiar Science". Being in a state of moderate bore- ; dom, I opened it and found it to be a book of popularized ; science as science was understood in the middle of the 19th ; Century, with the text presented in a question-and-answer ; format. Since the price was quite reasonable, I purchased the ; book, which now lies on the desk beside me. I have yet to read ; it thoroughly, but the small part I have browsed through is ; quite interesting. ; ; It is surprising how much our scientific understanding of some ; phenomena have changed in the past 152 years, and how little our ; understanding of other phenomena have changed. The velocity of ; light is given as around 190,000 miles per second, a bit too ; fast. And there is a section explaining the constitution of the ; so-called luminiferous ether. One of the greatest questions ; about light at the time was what happens to it when it is ; absorbed by a dark body. The source of the sun's energy was a ; complete mystery, though it was speculated that the sun emits ; heat and light as a bell emits sound when it is struck, without ; exhausting its reservoir of sound. ; ; I'll relate further interesting tidbits from the book as I come ; upon them, but now we have a fractal to investigate. The ; fractal was generated by calculating the formula Z^(1.375)+C at ; a level 1.375 units down the logarithmic ladder, while applying ; no function. ; ; I'll not describe the parent fractal in much detail. It is ; basically a distorted Mandeloid standing on its head. Today's ; unusually gaudy scene is located in a small valley near the ; parent fractal's 'nose'. ; ; I gave the image the rather poetic name, "Under the Equinox", ; though I have since forgotten what moved me to give it this ; name. The rating of an 8 might be a bit optimistic, especially ; for an image with no true minibrot at its center. The central ; blue triangle is no real substitute. ; ; To add some extra zip, the image was rendered with the outside ; set to 'tdis'. The calculation time of 16-1/3 minutes is ; admittedly slow, but instant gratification is available on the ; FOTD web site at: ; ; ; ; Steady rain all day and a very un-springlike temperature of 52F ; 11C made Friday a day to be forgotten here at Fractal Central. ; The duo of fractal cats watched the dripping water for a few ; minutes, then viciously attacked their catnip rats and mice. My ; day was close to normal. ; ; The next semi-glorious FOTD will appear in 24 hours or so. ; Until then, take care, and don't be too sure of things you're ; not sure of. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Under_the_Equinox { ; time=0:16:21.46-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=+0.05758293098342480/-0.989073028706620\ 60/2.569865e+007/1/152.5/0 params=1.375/0/-1.375/0 float=y maxiter=2200 inside=255 outside=tdis logmap=1175 periodicity=10 colors=000HJ4HN4HY4Hf4Nm2Ym2fn1qn1zq0zq0zs0zs0zu0z\ y0zw0qu0fs0Yq0Nn0Jn0Lm0Lk0Li0Nf0Nf0Ne0Pc0Pa0PZ0SZ0\ SY0SW0UU0US0US0UP0WN0WL0WJ0YJ0YH0YG0ZE0ZC0ZC0aA0a8\ 0a60m40w40z20zU0zZ0zZ0y00k10Z20Y40W60U80SA0PC0NE0L\ G0JH0HJ0GL0EN06W0CP0HL0LH0SE0YA0a62f26k0Cq0Gw0Jz0P\ z0Uz0Yz0Uz0Sy0Pw0Ns0Ln0Jk0Hi0Ee0Ca0AY08W06S04N02L0\ 1H00E10A108204201400600600800800A00C00C00E00E00C00\ C00C00C00C00C00C00C00C00C00A00A20A40A80AA0AC0AG0AH\ 0AL0AN08S08U08W08Z08a08e08f08k08m08n0Am0Am0Am0Ak0A\ k0Ak0Ai0Ai0Ai0Ai0Af0Af0Af0Ae0Ae0Ae0Ae0Ac0Ac0Ac0Aa0\ Aa0Aa0Aa0AZ0AZ0AZ0AY0AY0AY0AY0AW0AW0AW0AU0AU0AU0AU\ 0AS0AS0AS0AP0AP0AP0AP0CN0CL0EJ0EJ0GH0GG0HG0HE0JC0J\ A0LA1L84N66N68P4AP2ES1GS1HU0LU0NW0PW0UY0WY0YZ0aZ0c\ a0ea0fc0kc0me0ne0sf0uf0wi0zi0zk0zk0zm0zm0zn0zn0zm0\ zm0zk0zk0zi0zi0zf0wf0qf0me0ke0fc0ec0ca0Za0YZ0WZ0SZ\ 0PY0NY0JW0HW0GU0CU0AU08zz } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|