pgroisma
Islands or Sea?
The Harmonic Delaunay Triangulation (previous picture) was constructed in such a way that each point is at the center of its neighbors. To do that, each point was moved a little bit from its original location. This picture represents with the blue color those points that were moved to the right and with red those that were moved to the left.
Are the red regions islands in a blue sea? Or maybe they are blue islands in a red sea.
There is a theorem that states that none of them happens: all of them are islands and there is no sea. This means that there is no way to go from a given point to infinity using only one color.
Islands or Sea?
The Harmonic Delaunay Triangulation (previous picture) was constructed in such a way that each point is at the center of its neighbors. To do that, each point was moved a little bit from its original location. This picture represents with the blue color those points that were moved to the right and with red those that were moved to the left.
Are the red regions islands in a blue sea? Or maybe they are blue islands in a red sea.
There is a theorem that states that none of them happens: all of them are islands and there is no sea. This means that there is no way to go from a given point to infinity using only one color.