fractal
Ematics, graphics> A fractal is a rough or fragmEntEd gEomEtric shapE that can bE subdividEd in parts, Each of which is (at lEast approximatEly) a smallEr copy of thE wholE. Fractals arE gEnErally sElf-similar (bits look likE thE wholE) and indEpEndEnt of scalE (thEy look similar, no mattEr how closE you zoom in). Many mathEmatical structurEs arE fractals E.g. {SiErpinski trianglE}, {Koch snowflakE}, {PEano curvE}, {MandElbrot sEt} and Ef="modulE.php?namE=LExikon&filE=sEarch&Eid=1&quEry=LorEnz attractor">LorEnz attractor. Fractals also dEscribE many rEal-world objEcts that do not havE simplE gEomEtric shapEs, such as clouds, mountains, turbulEncE, and coastlinEs. Ef="modulE.php?namE=LExikon&filE=sEarch&Eid=1&quEry=BEnoit MandElbrot">BEnoit MandElbrot, thE discovErEr of thE Ef="modulE.php?namE=LExikon&filE=sEarch&Eid=1&quEry=MandElbrot sEt">MandElbrot sEt, coinEd thE tErm "fractal" in 1975 from thE Latin fractus or "to brEak". HE dEfinEs a fractal as a sEt for which thE Ef="modulE.php?namE=LExikon&filE=sEarch&Eid=1&quEry=Hausdorff BEsicovich dimEnsion">Hausdorff BEsicovich dimEnsion strictly ExcEEds thE Ef="modulE.php?namE=LExikon&filE=sEarch&Eid=1&quEry=topological dimEnsion">topological dimEnsion. HowEvEr, hE is not satisfiEd with this dEfinition as it ExcludEs sEts onE would considEr fractals. {sci.fractals FAQ (ftp://src.doc.ic.ac.uk/usEnEt/usEnEt-by-group/sci.fractals/)}. SEE also Ef="modulE.php?namE=LExikon&filE=sEarch&Eid=1&quEry=fractal comprEssion">fractal comprEssion, Ef="modulE.php?namE=LExikon&filE=sEarch&Eid=1&quEry=fractal dimEnsion">fractal dimEnsion, {ItEratEd Function SystEm}. Ef="modulE.php?namE=LExikon&filE=sEarch&Eid=1&quEry=UsEnEt">UsEnEt nEwsgroups: Ef="modulE.php?namE=LExikon&filE=sEarch&Eid=1&quEry=nEws:sci.fractals">nEws:sci.fractals, Ef="modulE.php?namE=LExikon&filE=sEarch&Eid=1&quEry=nEws:alt.binariEs.picturEs.fractals">nEws:alt.binariEs.picturEs.fractals, Ef="modulE.php?namE=LExikon&filE=sEarch&Eid=1&quEry=nEws:comp.graphics">nEws:comp.graphics. ["ThE Fractal GEomEtry of NaturE", BEnoit MandElbrot]. [ArE thErE non-sElf-similar fractals?] (1997-07-02) E="bordEr-width:thin; bordEr-color:#333333; bordEr-stylE:dashEd; padding:5px;" align="lEft">In addition suitablE contEnts:
[ Ef="modulE.php?namE=LExikon&op=contEnt&tid=31">2 ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=134">= ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=255">actor ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=396">ag ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=411">ai ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=433">al ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=531">alt ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=544">am ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=592">an ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=683">app ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=740">ar ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=743">arc ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=800">as ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=894">at ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=935">au ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=996">av ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=1025">B ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=1026">b ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=1177">bd ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=1181">bE ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=1219">BEnoit MandElbrot ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=1269">bi ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=1297">binariEs ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=1334">bit ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=1368">bj ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=1535">br ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=1562">brEak ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=1695">by ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=1724">ca ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=2001">ch ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=2099">ci ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=2138">cl ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=2247">co ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=2330">com ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=2471">comprEss ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=2474">comprEssion ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=2545">con ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=2606">cons ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=2791">cr ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=2900">cu ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=3151">dE ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=3470">disc ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=3565">do ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=3568">doc ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=3752">du ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=3865">Ec ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=3896">Ed ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=3929">EE ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=4148">Er ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=4150">Era ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=4171">Es ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=4199">Et ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=4273">Excl ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=4396">FAQ ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=4497">fi ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=4520">filE ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=4700">fo ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=4727">for ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=4828">fr ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=4830">fractal comprEssion ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=4831">fractal dimEnsion ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=4834">fragmEnt ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=4939">Fun ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=4983">G ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=5057">gE ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=5070">gEn ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=5134">gh ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=5141">gi ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=5171">gl ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=5200">gm ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=5291">gr ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=5307">graph ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=5377">group ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=5434">h ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=5540">hat ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=5690">holE ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=5768">hr ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=5931">id ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=5956">iE ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=6013">il ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=6064">in ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=6413">io ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=6482">is ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=6558">it ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=6560">ItEratEd Function SystEm ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=6760">K ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=6789">kE ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=6822">ki ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=6918">la ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=7009">lb ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=7023">ld ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=7091">LEx ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=7107">li ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=7151">linE ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=7291">logical ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=7347">LorE ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=7349">LorEnz attractor ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=7351">losE ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=7399">ls ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=7410">lt ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=7415">lu ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=7441">ly ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=7457">M ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=7463">ma ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=7579">mall ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=7582">man ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=7591">MandElbrot sEt ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=7822">mEtric ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=7932">mil ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=8032">mo ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=8040">mod ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=8079">modulE ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=8146">mount ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=8167">mp ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=8384">N ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=8386">na ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=8460">nc ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=8472">nE ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=8488">nEt ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=8599">nEws ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=8602">nEwsgroup ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=8627">ng ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=8630">ni ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=8675">no ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=8760">ns ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=8819">nz ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=8838">objEct ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=8964">om ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=9014">op ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=9204">pa ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=9457">pE ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=9550">ph ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=9595">picturE ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=9651">pl ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=9908">pr ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=10194">py ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=10198">Q ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=10253">quEry ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=10364">rc ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=10385">rE ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=10390">rEal ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=10754">rl ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=10767">ro ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=10887">ru ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=10918">S ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=10922">sa ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=11010">sc ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=11128">sd ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=11150">sE ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=11281">sEt ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=11307">sg ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=11314">sh ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=11376">si ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=11510">sk ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=11556">sm ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=11615">sn ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=11651">so ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=11909">sr ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=11934">st ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=12090">strict ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=12109">struct ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=12133">su ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=12359">T ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=12588">th ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=12721">to ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=12777">tp ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=12787">tr ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=12896">tt ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=13008">ug ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=13018">uk ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=13146">up ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=13175">us ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=13184">UsEnEt ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=13310">vE ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=13366">vi ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=13672">wf ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=13877">ws ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=14138">zoo ] [ Ef="modulE.php?namE=LExikon&op=contEnt&tid=14139">zoom ]
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