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
4
Koch Curve APEX :)
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 dragon curve was first described by Benoit Mandelbrot.
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.
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.
infinate