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How do you work out the perimeter of the Koch snowflake fractal?
Technically, you can't. The Koch snowflake is self-similar. So the perimeter is infinity.
When was the Koch Snowflake created?
1904
Do all fractals have an infinite perimeter and finite area?
yes! the best example would be the Koch snowflake.
Is the Koch Snowflake self-similar?
Yes.
What is special characteristic of koch snowflake?
It is a fractal: each enlargement of the snowflake is an identical image.
Is the Koch Snowflake a fractal?
Yes - as you "zoom in" on the sides of the snowflake, the same pattern occurs infinitely.
How many iterations are in the koch snowflake?
an infinite number.
What is the relationship between the perimeter and area when area is fixed?
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.
What is the name of the most famous fractal triangle?
Either the koch snowflake or the Sierpinski triangle
What is Koch's snowflake?
Koch's snowflake is a fractal and a mathematical curve that starts with an equilateral triangle. Iteratively, each side of the triangle is divided into three equal segments, and an equilateral triangle is constructed on the middle segment, creating a star-like pattern. This process is repeated indefinitely, resulting in a shape with an infinitely increasing perimeter while enclosing a finite area. The snowflake exemplifies the concept of self-similarity and is a classic example in the study of fractals.
What is the side length of the stage three Koch snowflake?
It depends on what the side lengths are for the first triangle
What is the shape whose perimeter has infinite length?
A variety of such shapes can be constructed; a well-known example is the Koch snowflake. http://en.wikipedia.org/wiki/Koch_snowflake
