This presentation is a thorough review of properties of convex equal-area polygon, which is a simple polygon bounding a convex planar domain such that all triangles formed by three consecutive vertices have the same area. We will also look at its connections to convex curves and properties that are analogous for discrete counterpart. Presentation is based on work:
M. Craizer, R. Teixeira and M. Horta, Affine properties of convex equal-area polygons, Discrete & Computational Geometry, October 2012, Volume 48, Issue 3, pp 580-595.