FOTD -- October 27, 2002 (Rating 6) Fractal visionaries and enthusiasts: In fantastic adventure games, where intrepid armchair explorers venture into computerized worlds of danger, lava pits are sometimes found. These pits of boiling, bubbling molten rock are just one of the many hazards that block the way to the ultimate goal. If stumbled into, these pits can be fatal to the adventurer . . . that is unless he has in his possession a magic charm of some sort that can enable him to survive things that would ordinarily mean instant death and a trip back to the beginning of the game or level. I mention computer adventure games because today's image reminds me of a lava pit, with bridges of fractal debris spanning the chasm beneath. I promptly named it "Bubbling Lava Pit". No one has yet fallen into the pit, though many have come close. Hopefully, this pit will claim no victims in the future. The formula behind the image is based on the golden ratio, where <a> is to <b> as <a+b> is to <c>. In today's case, I took the negative value and subtracted from it half as much of the negative of its squared value, which simply adds the number one to the original value. The result of this trick is a Mandeloid that resembles two partially coalesced Mandelbrot sets. The East Valley area of this figure is relatively undistorted, and that is where I found today's scene. When searching for a rating, I looked at yesterday's image and compared it with today's. An honest comparison led me to a rating of 6, which is still above average but only slightly. The render time of around 4 minutes is in line with the worth of the finished result. And as always, the finished image is available on the FOTD web sites at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> Heavy rain fell during the pre-dawn hours Saturday here at Fractal Central, but by mid-morning the clouds departed and the temperature soon rose to 66F 19C. By afternoon, the grass was dry, which gave the dynamic duo the chance they needed to catch up on lost outdoor time. The extra time outdoors made them so happy that they almost forgot to ask for food when they returned inside. It's now Sunday morning. We made it through Saturday with no unexpected disasters and a minimum of work. Hopefully, today will be a repeat. Until next time, take care, and then have a little fun. Jim Muth jamth@mindspring.com jimmuth@aol.com START 20.0 PAR-FORMULA FILE================================ Bubbling_Lava_Pit { ; time=0:04:41.27--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+5.53827492985745600/-0.008649815721493\ 01/90565.23/1/30/3.72648166421796212e-008 params=1/-1.618034/-0.5/-2.618034/0/0 float=y maxiter=600 inside=0 logmap=60 periodicity=10 colors=000uTNvRJwPGxNCyL9yK6vI7tH7rG7pF7nD7lC7jB7h\ A7e88c78a68_58Y38W28U18S08U1Cc2Fm3Iw3Lz4Oz5Rz6Uy6X\ x7`w8cv9fu9itAlsBapCemDUlEViF5fGWcHVbJUaLUaOT`QS_S\ SZURZXQYZQX`PWbOWeOVgNUiMUkMWmLYoK_pJarIcsIeuHgvGi\ xFkyFakPSYZJKhVXnehtjarnVprOnvHlzAjxDivGhtJgrLfpOe\ oRemTdkWciZbg`afcadf`bh_`kZZnYYpYRrTLsOFtJ9uFDuGHu\ HLuHPuISuJWuJ_uKcuKfuLjuMnuMruNuuN`mfYjgVhhTfhQciN\ ajL_jIYkFVlDTlARm7On5Mn2Ko0Iok8ngCldFk`JiYMhVPgUQe\ URcTSaTS_STYSUWRVURVSQWQQXOQXNVYO_ZPc_Qh`RmaSqbTvc\ UzdVyaXx_YwYZvV`uTatRbsOcsMerKfqHgpFhoDjnAkm8lm6mt\ 5qmC`gJLGIiDJlBJnDLoFNoHOpJQpLRqNTqOUqHecBpQDnTFlV\ HkXJiZLh`NfcPeeQcgSaiU`kWZnYYp_WraVtcTvdSxZOvTKtNG\ rHDqB9o55m02l44e86ZC8SGALJBFKFFLJFMNFNRFOVFPZFQbFR\ fFSkFSlFQmEPoDOqCNsBMuALw9Ky8Jz7Iz6Hz5Gz4Fz3Ez2Dz1\ Cz0Bz0IzGPzVVziPz_KzROzOSzMWzJ_zHczEgzCkz9oz7kz6gz\ 6cz6_z5Wz5Sz5Oz4Kz4Gz4szN } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE==================================