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A Koch curve has length?

A Koch curve has INFINITE length.


A Koch curve has what length?

infinate


Why is a koch curve infinite?

The Koch curve is considered infinite because it is created through an iterative process that adds infinitely many segments to its structure. Starting with a straight line, each iteration replaces the middle third of each line segment with two segments that form a triangle, increasing the total length without bound. As this process continues indefinitely, the curve's length approaches infinity, while the overall shape remains a finite area. Thus, the Koch curve exemplifies a fractal, showcasing complexity and infinity within a finite space.


Each iteration used to define the Koch Curve increases the length of the curve?

true


When was the koch curve fractal discovered?

The Koch curve was first described in 1904.


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


What fractal is created when each line segment is bent up at the middle so that its length is increased by?

koch curve


What fractal is created when each line segment is bent up at the middle so that its length is increased by one third infinitely repeated?

Koch Curve APEX :)


What fractal is created when each line segment is bent up at the middle so that its length is increased by 1-3 infinitely repeated?

4


Do all fractals have an infinite perimeter and finite area?

yes! the best example would be the Koch snowflake.


What shape has finite length?

A line segment.


Is a a true statement about Koch curve?

It is self-similarIt has infinite length.It has fractional dimension.Apex - TFthis is the correct apexvsCheck all that apply.xA.It is self-similar. B.It has finite length.xC.It is constructed by repeatedly bending a line segment.xD.It has fractional dimension. E.It requires a total of four iterations to construct.