Methods and apparatus to encode and decode normals of geometric representations of surfaces are disclosed herein. An example method includes defining a tile having regions, each of the regions of the tile corresponding with a surface of a geometric shape, arranging an edge of a first instance of the tile to abut an edge of a second instance of the tile to define a composite tile, determining a first vector between a first point on the composite tile in the first instance of the tile, and a second point on the composite tile in the second instance of the tile, and encoding the first vector to determine an approximation of the location of the second point relative to the first point.