Peano Curve
The Peano Curve is a continuous space-filling curve that was first described by the Italian mathematician Giuseppe Peano in 1890. It maps a one-dimensional line segment onto a two-dimensional square, demonstrating that it is possible to fill an area completely with a continuous curve. This concept challenges the traditional notion of dimensions in geometry.
The Peano Curve is an example of a fractal, as it exhibits self-similarity at different scales. It is significant in various fields, including computer graphics and topology, as it provides insights into how lower-dimensional spaces can be represented in higher-dimensional forms.