Re: Beginner Fractal Generation in Mathematica

*To*: mathgroup at smc.vnet.net*Subject*: [mg26450] Re: Beginner Fractal Generation in Mathematica*From*: "Borut L" <justmyname at email.si>*Date*: Thu, 21 Dec 2000 01:51:51 -0500 (EST)*References*: <91pk54$621@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

> I am a beginner in Mathematica and need to know how to generate a Koch > snowflake fractal. Please help. > > Thanks, > Alan Hi Alan, An intuitive approach, imitating 'logo turtle graphics', is very convinient for rather simplex, yet creative fractal graphics. It goes like this: You start by drawing a straight line in a specific direction. You are drawing it until you bump into a rule, a rule that order you to change direction. After rotating for a specific angle, you continue drawing a straight line in that direction. And so on... For Koch's curve this approach would look like this: initial route: F+F--F+F where F meand 'forward', i.e. drawing a straight unit line and +/- means 'rotating for Pi/3' in positive/negative direction. Now, n-th order Koch's curve will be an initial route, recursively gotten by applying the rule: F -> F+F--F+F Since you say you are a begginer in Mathematica, it might not be obvious for you at the start to implement this in Mathematica. But afterall, aren't the new things those from which we learn? bye, Borut Levart a physics student