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Is the Koch Snowflake a fractal?


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Answered 2012-07-26 13:57:17

Yes - as you "zoom in" on the sides of the snowflake, the same pattern occurs infinitely.

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Technically, you can't. The Koch snowflake is self-similar. So the perimeter is infinity.


It is a fractal: each enlargement of the snowflake is an identical image.


A fractal by definition is actually a curve that has infinite length, like the Koch snowflake and Cantor set, to name a few.


Either the koch snowflake or the Sierpinski triangle


The Koch curve was first described in 1904.


you find the area of a koch snowflake using z=(n-1)x/3



For a fixed area, the perimeter is minimum for a circle, but has no maximum. Fractal figures (such as Koch snowflake) may have a finite area within an infinite perimeter.


My computer aided design software uses fractal units to make a representation of a snowflake.


The von Koch snowflake is infact a fractal that looks like a snowflake. It is made by starting with an equilateral triangle. The next step is to remove the middle third of each line and add two edges of the same length as the removed segment across the gap. Now all 12 of the edges are equal length and the whole shape should now look like the star of David. Now remove the middle of third of each of the twelve edges and add another "spike" to each. Keep repeating this over and over ad infinitum and you have the Koch snowflake.


It depends on what the side lengths are for the first triangle


yes! the best example would be the Koch snowflake.


Some examples: a coastline, the tributaries of a river, a branching tree, a snowflake.Some examples: a coastline, the tributaries of a river, a branching tree, a snowflake.Some examples: a coastline, the tributaries of a river, a branching tree, a snowflake.Some examples: a coastline, the tributaries of a river, a branching tree, a snowflake.



Contrary to the general belief the overwhelming majority of snowflakes do not have a particular shape. Just a few have crystalline fractal shapes, similar to tree branches, for example.


Sierpinski's Triangle Sierpinski's Carpet The Wheel of Theodorus Mandelbrot Julia Set Koch Snowflake ...Just to name a few(:


A variety of such shapes can be constructed; a well-known example is the Koch snowflake. http://en.wikipedia.org/wiki/Koch_snowflake


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No. Time is just time. Although if you want to see something as a fractal it will become a fractal but then it's called pareidolia a psychological effect. ... Can a fractal have a dimension of exactly 2?


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