; Date: Thu, 19 Feb 2004 12:14:48 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 19-02-04 (The Golden M [5]) ; Id: <1.5.4.16.20040219121727.0d7732e8@pop.mindspring.com> ; --------- ; ; FOTD -- February 19, 2004 (Rating 5) ; ; Fractal visionaries and enthusiasts: ; ; With an unexpected load of work to get out, I have time for only ; a short discussion of today's image. ; ; The image is a scene in Seahorse Valley. It looks nothing like ; the familiar valley because it is sliced through the Julibrot in ; a new direction. To visualize the direction, imagine the ; Seahorse Valley area of the M-set extending as a 3-D figure in ; front of and behind the screen as it would when the real and ; imaginary parts of Z are perturbed equally. Then imagine a ; horizontal slice through this 3-D figure cut 0.05 above the ; X-axis. And then imagine yourself looking down on this slice ; from above. ; ; Or better, forget the imagination. From this angle, Seahorse ; Valley appears as a 'bridge' spanning the width of the Julibrot. ; The impossibly straight edges are typical of scenes in the odd ; planes. There is an explanation for why this is so, but it will ; have to wait until I have more time to write it. Until then, ; enjoy Seahorse Valley as you have never seen it before. ; ; I named the image "The Golden M". The reason for the name is ; obvious when the image is seen. The rating of an average 5 ; combines with the render time of 16 minutes to give an overall ; value of 31. The value may be increased by downloading the ; finished GIF image from: ; ; ; ; The sun shone and the temperature rose to 46F 8C on Wednesday ; here at Fractal Central. The cats enjoyed the pleasant ; conditions to the best of their ability, and when the sun went ; down, came inside without complaint. Only a small treat was ; needed to satisfy their meager desires. ; ; Today is starting cloudy, but it is still mild. It will be ; another good day for the cats. For me, it remains to be seen ; how the trip into the fourth dimension will go. But however it ; goes, whatever I find there will appear as the next FOTD. Until ; then, take care, and keep your feet on the ground and your head ; in the clouds. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE================================ The_Golden_M { ; time=0:16:10.54--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=SliceJulibrot2 passes=t logmap=yes center-mag=-0.00128325508607199/-0.000000000000004\ 55/159.0018/0.01505/90/-5.05012698326368081e-014 params=45/90/0/0/-0.75/0.05/0/0 float=y maxiter=100000 inside=0 outside=summ periodicity=10 colors=000NuPNrQOpSOmTPkVPhWQfYQcZR``RZaSWcSUdTRfT\ PgUMiUKjWJiXIiZHh_GhaFgbEgcEgeDffCfhBeiAek9dl8dm8d\ bIaTRZJ`W9iTDeVHbWL_XPXYTUZXR_`OadLbhIclFdpCet9fw6\ gqHdlRbg`_hjYmqWmoTmmQmkNmiJmgFmeBmd8meAmfCriAml9m\ n7uq6xr5uo4sk4qh4qe4pc4oa4n_4mZ3mY3nX3oW3pV3qU3rZ3\ rV3rT7mRBhOFcMIZJMUHQPFUKFXEH`8Id7Kh6Mk5No4Ps3Rw3S\ z8XrD`kIddNhYSmRXqKauDfy6bu9_qCXmFTjIQfKYbNJ_QGWTD\ SV9PYaL`mHmcEeUHrcKmcMcmKccScEUcHXcJZcLacfdhQfmSim\ VlmXnmZqm`smZpmYmmWmmVmmTmmSmmQmmOmmNmmLcmacmZQmXO\ mUMmRKmPImMGoKEpGGqDHrAJr7Ks4Ls8NtCOtGPtKRtOStSTtW\ Vt_WtcXtgZtk_to`tsbtwctzdtxfqvgouhmsjmqkmplmnmmlon\ kpoiqphrqfqrepsdotcnubmvalw`kxblycmzdnzfozgpzhqzir\ zkszltzmuzovzpwzqxzryzpzzozzmzzlzzjzzizzhzzfzzezzc\ zzbzz`zz_zzZzzbzzezzhzzkzznzzozzpzzpzzqzzqzzrzzszz\ szztzztzzuzzvzzvzzwzzwzztzzrzzozzmzzjzzhzzfzzczzaz\ z_zzYzzWzzUzzSzzQzzOzzMzz } frm:SliceJulibrot2 {; draws most slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=sqr(z)+c |z|<=9 } ; END PARAMETER FILE================================== ;