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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: