Koch snowflake
Noun
Meaning
Koch snowflake (plural Koch snowflakes)
A fractal curve based on the Koch curve.
Examples
For example, the area inside the Koch snowflake can be described as the union of infinitely many equilateral triangles (see figure).
In other words, three Koch curves make a Koch snowflake.
Since each Koch snowflake in the tessellation can be subdivided into seven smaller snowflakes of two different sizes, it is also possible to find tessellations that use more than two sizes at once. citation.
Tessellation of the plane Tessellation by two sizes of Koch snowflake It is possible to tessellate the plane by copies of Koch snowflakes in two different sizes.
The Koch snowflake is the limit approached as the above steps are followed over and over again.
The progression for the area converges to 2 while the progression for the perimeter diverges to infinity, so as in the case of the Koch snowflake, we have a finite area bounded by an infinite fractal curve.