The Koch curve was first described in 1904.
The dragon curve was first described by Benoit Mandelbrot.
false
Benoît B. Mandelbrot[ is a French mathematician, best known as the father of fractal geometry
A hollow circle is not a fractal.
a robot is only a machine and fractal is reconfigurable machine.
koch curve
Koch Curve APEX :)
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A Koch curve has INFINITE length.
Technically, you can't. The Koch snowflake is self-similar. So the perimeter is infinity.
A fractal is a rough or fragmented geometric shape that can be split into parts, each of which is (at least approximately) a reduced-size copy of the whole (self similar). The term "fractal" was coined by Benoît Mandelbrot in 1975 and was derived from the Latin fractus meaning "broken" or "fractured." A mathematical fractal is based on an equation that undergoes iteration, a form of feedback based on recursion.
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.
The dragon curve was first described by Benoit Mandelbrot.
Either the koch snowflake or the Sierpinski triangle
It is a fractal: each enlargement of the snowflake is an identical image.
A fractal is a geometric curve or figure such that each part of it has the same statistical character as the whole. An alternative definition is a curve which appears the same at any level of magnification.
Yes - as you "zoom in" on the sides of the snowflake, the same pattern occurs infinitely.