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What else can I help you with?
When was the koch curve fractal discovered?
The Koch curve was first described in 1904.
Which figure is straight and has a finite length?
A line segment
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.
What is tangent line?
tan A = (sin A) / (cos A) tan (A)= opposite side length/adjacent side length A is an angle measurement; amount of degrees or radians. If a line is tangent to a curve, it only touches the curve at one point. looks like )| but the line is touching the curve. In a circle, the tangent line touches the circle at one point and is perpinducular to the circle's radius if it is touching that same point.
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 is rectifiable curves?
Rectifiable curves are curves in a Euclidean space that have a finite length. This means that the total distance along the curve can be measured and is finite when calculated using the concept of line integrals. Rectifiable curves can be approximated by a series of straight line segments, and they are important in various fields of mathematics, including calculus and geometric measure theory. A classic example of a rectifiable curve is a smooth curve like a circle or a straight line segment.
What shape has finite length?
A line segment.
