• Jordan curve illustrations: drawing the curve

    There is a Jordan curve such that every piecewise-linear path from the inside to the outside intersects the curve infinitely many times. I describe how to draw such a curve here, and do so.

  • Jordan curve illustrations: wiggling a course

    There is a Jordan curve such that every piecewise-linear path from the inside to the outside intersects the curve infinitely many times. I define the wiggling precisely here in terms of courses (turn-type sequences).

  • Jordan curve illustrations: a triangular example

    There is a Jordan curve such that every piecewise-linear path from the inside to the outside intersects the curve infinitely many times. I sketch the construction of such a curve here.

subscribe via RSS