; April 11, 1997: Tree of the Infinite ; ; tree of the infinite ; ; Fractal fans: ; ; Here's the formula and par file for an eye-catching fractal. Notice the ; simplicity of the formula, and especially the ridiculously low power of ; Z. Take a few minutes to run the par file to see a sample of what can be ; done with well-chosen but unlikely parameters used in simple formulas. ; ; I'll try to post a different image every day, until I make my point that ; complicated formulas are not necessary for new and unusual fractals. ; ; My point is not so much that complex formulas are wrong, but rather that ; there is infinitely much to yet be found in simple formulas such as the ; one attached below. ; ; Jim Muth ; jamth@mindspring.com ; ; START FORMULA=============================== Tree_of_the_Infini { ; time=0:00:29.11-SF5 on P4-2000 reset=1950 type=formula formulafile=basicer.frm formulaname=snaketree passes=t periodicity=10 center-mag=1.76988/0/2.894847/1/90/3.88 float=y maxiter=500 inside=0 logmap=yes colors=000FDDGEEHFFIGGKIHLJIMKJNLKOMLPNMRPNSQOTRPU\ SQVTQWURXVSZXT_YU`ZVa_Wb`XcaYecZfd_KKOhfaKKPfc`FAK\ da_FAKbZZFAK`XXFAKZUWFAK000FAK000FAK000FAK000FAL00\ 0FAM000FAM000FAL000EAL000E8J000EBJ000EDH000DBHDCGD\ IFCKFCLFCMFBNFBPGAQGASGAUG9XH9ZH9`IAbKBcLBdMCeNCfO\ DgPDgQEgREgSFgTFgUGgVHgWHgXIhYIhZJh_Jh`KhaKhbLmcLm\ dMmeMmfNmgOmhOmiPmjPmkQmlQmmRmnRmoSmpSmqTmrTzzWzzY\ zz_zzazzczzczzbzzbzzazzazz`zz`zz_zz_zzZzzZzzZzzYzz\ YzzXzzXzzWzzWzzVzzVzzUzzUzzUzzTzzTzzSzzSzzRzzRzzQz\ zQzzPzzPzzOzzOzzOzzNzzNzzMzzMzzLzzLzzKzzKzzJzzJzzJ\ zzKzzKzzLzzLzzMzzMzzNzzNzzNzzOzzOzzPzzPzzQzzQzzQzz\ RzzRzzSzzSzzTzzTzzTzzUzzUzzVzzVzzWzzWzzWzzYzzZzz_z\ z`zzazzbzzdzzezzfzzgzzhzzizzjzzkzzlzzmzznzzozzqzzr\ zzszztzzuzzvzzwzzxzzxzzxzzxzzxzzxzzxzzxzzxzzxzbxzz\ xzzxzzxzzyzzyzzyzzyzzyzzyzzyzzyzzyzzyzzyzzyzzyzz5z\ z6zz7zz8zzAzzBzzCzzDzzEzz } frm:SnakeTree {; Jim Muth z=pixel: z=(-z)^1.095+3.4 |z| <= 100 } ; END PARAMETER FILE============================================== ;