A method, including generating a three-dimensional (3D) map as a plurality of points illustrating a characteristic of a 3D heart chamber, the 3D heart chamber having an opening bounded by a perimeter. The method further includes transforming the perimeter into a closed two-dimensional (2D) figure having an interior. The plurality of points illustrating the characteristic are projected onto the interior of the 2D figure so as to generate a 2D map of the characteristic of the 3D heart chamber.