Showing posts with label fractals. Show all posts
Showing posts with label fractals. Show all posts

Thursday, February 1, 2024

Strange curves and biological structures

Von Koch's Snowflake Curve

In general, geometric objects are usually classified according to the number of their dimensions, like this:

  • Points have zero dimensions.
  • Lines (straight lines or curves) have one dimension.
  • Surfaces have two dimensions.
  • Volumes have three dimensions.

Furthermore, mathematicians often work with objects that have more than three dimensions, which are very difficult for us to imagine.

At the beginning of the 20th century, the Swedish mathematician Helge von Koch discovered a strange curve (the von Koch snowflake), which has the following properties: