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A Koch curve has length?
A Koch curve has INFINITE length.
Each iteration used to define the Koch Curve increases the length of the curve?
true
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
A Koch curve has length?
A Koch curve has INFINITE length.
The Koch Curve has a finite length?
false
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
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.
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
Which sequence of numbers represents the number of new bends there are after the 1st 2nd 3rd and 4th iterations in the Koch Curve?
The sequence of numbers representing the number of new bends after each iteration in the Koch Curve is 4, 16, 64, and 256. This is because at each iteration, each segment of the curve is divided into four smaller segments, creating more bends.
Formula of radious given curve length and chord length?
R = radius c = chord length s = curve length c = 2Rsin(s/2R) you can solve for radius by trial and error as this is a transcendental equation
Why successive lines with a change in slope look like a curve?
A curve is formed by lines. If the length of these lines is reduced to zero, we get a very smooth curve.
