List of self-intersecting polygons

Sub-list of the list of polytopes

Self-intersecting polygons, crossed polygons, or self-crossing polygons are polygons some of whose edges cross each other. They contrast with simple polygons, whose edges never cross.

Some types of self-intersecting polygons are:

  • the crossed quadrilateral, with four edges
    • the antiparallelogram, a crossed quadrilateral with alternate edges of equal length
      • the crossed rectangle, an antiparallelogram whose edges are two opposite sides and the two diagonals of a rectangle, hence having two edges parallel
  • Star polygons
    • pentagram, with five edges
    • Hexagram, with six edges
    • heptagram, with seven edges
    • octagram, with eight edges
    • enneagram or nonagram, with nine edges
    • decagram, with ten edges
    • hendecagram, with eleven edges
    • dodecagram, with twelve edges
    • icositetragram, with twenty four edges
    • 257-gram, with two hundred and fifty seven edges

See also