FOTD -- January 23, 2003 (Rating 7) Fractal visionaries and enthusiasts: The plethora of triternion formulas from various sources continues to increase, though I have yet to see one that draws a perfect M-set as its 0,0 default, as intuition suggests it should. Since posting variation number one of the original formula, I have made four more variations. Today's variation, number five, draws a reasonably perfect default M-set, yet still creates the criss-crossing elements that make these formulae so interesting. I have named today's image, which resembles a nighttime scene at the edge of a fantastic forest on some dreary planet "Somber Planet". The coloring is perhaps the darkest and most somber of any FOTD image, so dark in fact that the image is best viewed in subdued light. Even the reddish clouds in the distance, about to be illuminated by a rising sun, are somber. The rating of 7 is based on the curious resemblance of the image to an actual scene on another planet. A brighter color palette might have earned it a higher rating, but being the type of person who enjoys less-cheerful things such as slow, solemn funeral music, I stuck with the dreary blue tones. The render time of 4-1/2 minutes is not too dreary, but dreary enough to make the download a better choice. The download may be found on the W.W.Web at Paul's site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and at Scott's site at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> Unusual cold settled into the Fractal Central area on Wednesday, chilling the cats' whiskers thoroughly. With their whiskers chilled by the 20F -7C temperature when I opened the door, the fractal cats didn't even think of going out. They passed the day huddled thankfully by the heat, behaving like little cat angels. Today will be even colder, so I expect a repeat. My day will also be spent indoors, working rather than sleeping. And when the work is done, I shall take a trip to Fractal Land. Until tomorrow at about this same time, take care, and unless I am mistaken, cat's whiskers were once a part of simple radios. Jim Muth jamth@mindspring.com jimmuth@aol.com START 20.0 PAR-FORMULA FILE================================ Somber_Planet { ; time=0:04:26.83--SF5 on a P200 reset=2002 type=formula formulafile=triter.frm formulaname=tman5 passes=1 center-mag=-0.663490902\ 33551570/+0.47769924811431790/22426.46/0.1228/-46.\ 3/-56.3053693362961667 params=0.1/0.15 float=y maxiter=1600 inside=0 logmap=122 periodicity=0 colors=000F0TG0UH0VI0WJ0XK0YL0ZM0_N0`O0aP0bQ0cP0eO\ 0dN0cM0bL0bK0aJ0`I0_H0_G0ZF0XE0VD0UC0SB0QA0PA0PA0O\ A0NG0MH0MH0LH0KH0JH0JH0IH1HH2GH3GH4FH5EH6DH7DH8CH9\ BH8AH6AH59H48H26H37H38H48H49H5AH5AH5BH6CH6CH7DH7EH\ 8JH8FH8QH9QH9RHASHASHKTHNTHOUHCWHHWHQYHKZNQ_OP`HEY\ OPYPO_PN`QJ`QOaQQbHHbHMcHIdHJdHJeGIdHJaHJZHJWHJTHJ\ SHJRIKQIKPIKOIKOIKNIKMJLLJLKJLJJLIJLHJLGKMGLMFMMEO\ MDQMCSMBVNAXN9ZN8`N8bN7dN6gO5XO4WO3VO2UO1TO0SO0RM8\ QKGOINMHVKFzIDz4Dz3Cz3Cz3Cy3Cx3Cw3Cv3Bu3Bz3Bz3Bz3B\ z3Bz3Az3Az3Az3Az3Az3Az39z39y39x39w39v39u38u38t38t3\ 8s38s38r37r37r37r37r37r37r36r36r36r36r36r36r35r35r\ 35r35r35r35r34r34r34r34r34r34r33r33r33r33r33r20r32\ r33r34r45r46r47r58r59r5Ar6Br6Cr6Dr7Er7Fr7Gr8Hr8Ir8\ Jr8Kr9Lr9Mr9NrAOrAPrAQrBRrBSrBTrCUrCVrCWrDXrDYrDZr\ E_rE`rEarEbrFcrFdrFerGfrGgrGkrGkrGkrGkrGlrGlrGlrGl\ rGlrGlrGlrGlrGlrGlrGlrGlr } frm:TMan5 { c1=real(pixel),c2=imag(pixel),c3=p1 z1=z2=z3=0: t1=z1*z1+2*z2*z3 t2=z3*z3+2*z1*z2 t3=z2*z2+2*z3*z1 z1=t1+c1,z2=t2-c2*c2,z3=t3+c3 z=z1-z2+z3 |z| < 8 } END 20.0 PAR-FORMULA FILE==================================
Jim Muth wrote: The plethora of triternion formulas from various sources continues to increase, though I have yet to see one that draws a perfect M-set as its 0,0 default, as intuition suggests it should. Since posting variation number one of the original formula, I have made four more variations. Today's variation, number five, draws a reasonably perfect default M-set, yet still creates the criss-crossing elements that make these formulae so interesting. (end quotation) How about this: T_Nearly_Mandel { c1=Pixel,c2=Pixel,c3=0 z1=z2=z3=0: t1=z1*z1+2*z2*z3, t2=z3*z3+2*z1*z2, t3=z2*z2+2*z3*z1 z1=t1+c1,z2=t2+c2,z3=t3+c3 z=z1+z2+z3 |z|<64} AND THIS: T_Super_Mandel { c1=Pixel,c2=Pixel,c3=Pixel z1=z2=z3=0: t1=z1*z1+2*z2*z3, t2=z3*z3+2*z1*z2, t3=z2*z2+2*z3*z1 z1=t1+c1,z2=t2+c2,z3=t3+c3 z=z1+z2+z3 |z|<64}
participants (2)
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Jim Muth -
jos hendriks