; Date: Thu, 8 Apr 2010 22:07:29 -0600 ; From: Roger Alexander ; Subject: [Fractint] Order and Chaos Pt. 2 ; Id: ; --------- ; ; Fractals can be chaotic-having the charactersitic of sensitivity to change in intital conditions. ; Here are two examples of chaos.The first,a plain vanilla Mandelbrot zoom, ; has the chaotic nature of the artificial.The pattern while convoluted and serpentine ; is not noisy-it does not have randomness it because it is strongly self-similar.For example it is perfectly symmetrical. ; The second mimics natural chaos-it is superficially random. There is the hint of structure ; in the discernible spiral but it has the irregular variations of the natural world. ; Unending complexity from the simplest of algorithms. ; fract020.gif { ;_A_mainstream_minibrot ; blank ; calctime 0:00:54.72 ; created Apr 08, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=mandel center-mag=-1.63282165206508200/+0.00000018074763755/124610.6/1/-90/-1.2\ 3373533611470521e-014 params=0/0 float=y maxiter=3600 inside=0 logmap=70 colors=0000Qj0Pj0Oi0Oi0Ni0Nh0Mh0Lg0Lg0Kg0Jf0Jf0Ie0Ie0He0Gd0Gd0Fc0Fc0Eb0D\ b0Db0Ca0Ca0B`0A`0A`09_08_08Z07Z07Z06Y05Y05X04X04X03W02W02V01V00U01V03W05\ X07Y09Z0A_0C`0Ea0Gb0Ic0Kd0Le0Nf0Pg0Rh0Ti0Vj0Wk0Yl0_m0an0co0ep0fq0hr0js0l\ t0nu0pv0rw0qw0ov0mu0lt0js0hr0fq0ep0co0an0`m0Zl0Xk0Vj0Ui0Sh0Qh0Pg0Nf0Le0J\ d0Ic0Gb0Ea0D`0B_09Z07Y06X04W02V00U00U00T00S00R00Q00P00O00O00N00M00L00K00\ J00I00H00H00G00F00E00D00C00B00A00A00B00C00D00E00F00F00G00H00I00J00K00K00\ L00M00N00O00P00P00Q00R00S00T00U01V03W05X06Y08Z0A_0B`0Da0Fc0Gd0Ie0Kf0Lg0N\ h0Pi0Qj0Sk0Um0Vm0Xn0Zo0`o0bp0cq0er0gr0is0kt0mt0nu0pv0rw0tw0vx0xy0zz0zz0y\ z0yz0xz0xy0wy0wy0vy0vy0ux0ux0tx0tx0sx0sw0rw0qw0qw0pw0pv0ov0ov0nv0nu0mu0m\ u0lu0lu0kt0kt0jt0it0it0hs0hs0gs0gs0fs0fr0er0er0dr0dq0cq0cq0bq0aq0ap0`p0`\ p0_p0_p0Zo0Zo0Yo0Yo0Xo0Xn0Wn0Wn0Vn0Um0Um0Tm0Tl0Sl0Rk0Rk } ; fract279.gif { ;Organic_or_inorganic? ; blank ; blank ; created Apr 08, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=*.frm formulaname=H05-17 function=sin/sqr center-mag=-1.30971817008782600/+1.06416508897457400/136.5077 params=-1.241859187597278/-2.212836085085605/0.8100222785119174/-0.41389\ 2025513474 float=y maxiter=3200 logmap=43 periodicity=0 cyclerange=0/255 colors=A00A00B00B00C00D00D00E00F00F00G00G00H00I00I00J00K00K00K00L00L11M1\ 1M11N11N11O11O11P11P11Q11Q11R11S00S00T00T00U00V00V00W00X00X00Y00Z00Z00_0\ 0`00`00a00b00b00c00d00e00f00g00g00h00i00i00j00k00k00l00m00m00n00o00o00p0\ 0q00r00r10r20r30r40r50r60r70r80r90rA0rB0rC0rD0rE0rF0rG0rH0rI0rJ0rK0rL0rM\ 0rN0rO0sP0sQ0sR0sS0sT0sU0sV0sW0sX0sY0sZ0s_0s`0sa0sb0sc0sd0se0sf0sg0sh0si\ 0sj0tl0tl0tl0tk0tk1tj1tj1ti2ti2ti2th3uh3ug3ug4uf4uf4ue5ue5ue5ud5ud6uc6vc\ 6vb7vb7vb7va8va8v`8v`9v_9v_9wZAxYAxY9xX9xX8xW7xW7xV6xV6yU5yU5yT4yT3yS3yS\ 2yR2yR1zQ0zQ0yP0xP0wO0vO0uN0uN0tM0sM0rL0qL0pK0oK0oJ0nJ0mI0lI0kH0jH0iG0iG\ 0hF0gF0fE0eD0dD0cC0cC0bB0aB0`A0_A0Z90Y90Y80X80W70V70U60T60S50S50R40Q40P3\ 0O30N20M11M11M11M11L11L11L11L11K11K11K11K11J11J11J11J11I11I11I11I11H11H1\ 1H11H11G11G11G11G11F11F11F11F11E11E11E11E11D11D11D11C00 } frm:H05-17 {; V.1.1 - earlier versions may be discarded ; Copyright (c)1998,1999 Morgan L. Owens ; = 2(xH(4)-4H(3)) z=pixel, oz=0 fz=0 zt=fn1(z)+p1: foz=fz zz=z*z fz=8*z*(4*zz*(zz-5)-9) z=z-p2*fz*(z-oz)/(fz-foz) oz=zt zt=fn2(z) |fz|>=0.0001 ;SOURCE: chby17.frm } ; ; _________________________________________________________________ ; Hotmail & Messenger. Get them on your phone now. ; http://go.microsoft.com/?linkid=9724463 ;