space-filling curve

mathematics

Learn about this topic in these articles:

behaviour

  • Square numbers shown formed from consecutive triangular numbers
    In number game: Pathological curves

    …is “one-dimensional” and thus cannot fill a given space, it can be shown that the curve produced by continuing the stages in Figure 8, when completed, will pass through every point in the square. In fact, by similar reasoning, the curve can be made to fill completely an entire cube.

    Read More
Britannica Chatbot logo

Britannica Chatbot

Chatbot answers are created from Britannica articles using AI. This is a beta feature. AI answers may contain errors. Please verify important information using Britannica articles. About Britannica AI.