Koch snowflake

Thus the Koch snowflake has 8/5 of the area of the base triangle.

One non-trivial example is the fractal dimension of a Koch snowflake.

The Koch snowflake is the limit approached as the above steps are followed over and over again.

It is possible to tessellate the plane by copies of Koch snowflakes in two different sizes.

In other words, three Koch curves make a Koch snowflake.

For example, the area inside the Koch snowflake can be described as the union of infinitely many equilateral triangles (see figure).

One such fractal curve with an infinite perimeter and finite surface area is the Koch snowflake.

Gave his name to Koch snowflake.

The method of creation is rather similar to the ones used to create a Koch snowflake or a Sierpinski triangle.

Science Fiction novel concerning paradoxes and the Koch snowflake.

The form is a fractal, like the Koch snowflake where an infinite progression of forms fits into a finite space.

For instance, a side of the Koch snowflake is both symmetrical and scale-invariant; it can be continually magnified 3x without changing shape.

Koch snowflake, mathematical curve resembling a snowflake.

Its boundary is the von Koch flake, and contains an infinite number of Koch snowflakes (black or white).

Mandelbrot then describes various mathematical curves, related to the Koch snowflake, which are defined in such a way that they are strictly self-similar.

The Koch snowflake can be constructed by starting with an equilateral triangle, then recursively altering each line segment as follows:

Helge von Koch describes the "Koch snowflake", one of the earliest fractal curves described.

A fractal figure drawn introducing a periodic change of angle sign in the iteration of the usual Koch snowflake L-system.

Helge von Koch, Swedish mathematician, originator of the eponymous "Koch snowflake"

The boundary of a hexaflake is the standard Koch curve of 60 degrees and infinitely many Koch snowflakes are contained within.

Tune Smithy, developed by Robert Walker, for Windows generates music real time using a musical construction similar to the Koch snowflake fractal.

The Koch snowflake (or Koch star) is the same as the Koch curve, except it starts with an equilateral triangle instead of a line segment.

Burns and Rigby found several prototiles, including the Koch snowflake, that may be used to tile the plane only by using copies of the prototile in two or more different sizes.

The Koch snowflake (also known as the Koch star and Koch island) is a mathematical curve and one of the earliest fractal curves to have been described.

After each iteration, the number of sides of the Koch snowflake increase by a factor of 4, so the number of sides after n iterations is given by: