Yes - as you "zoom in" on the sides of the snowflake, the same pattern occurs infinitely.
For a fixed area, the perimeter is minimum for a circle, but has no maximum. Fractal figures (such as Koch snowflake) may have a finite area within an infinite perimeter.
Probably fractal geometry.
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.
koch curve
yes! the best example would be the Koch snowflake.
Technically, you can't. The Koch snowflake is self-similar. So the perimeter is infinity.
It is a fractal: each enlargement of the snowflake is an identical image.
Either the koch snowflake or the Sierpinski triangle
The Koch curve was first described in 1904.
For a fixed area, the perimeter is minimum for a circle, but has no maximum. Fractal figures (such as Koch snowflake) may have a finite area within an infinite perimeter.
you find the area of a koch snowflake using z=(n-1)x/3
Probably fractal geometry.
1904
Koch's snowflake is a fractal and a mathematical curve that starts with an equilateral triangle. Iteratively, each side of the triangle is divided into three equal segments, and an equilateral triangle is constructed on the middle segment, creating a star-like pattern. This process is repeated indefinitely, resulting in a shape with an infinitely increasing perimeter while enclosing a finite area. The snowflake exemplifies the concept of self-similarity and is a classic example in the study of fractals.
My computer aided design software uses fractal units to make a representation of a snowflake.
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.
Yes.