Cave walls have a lot of texture. Why are painting on them considered 2D art?

Paintings on cave walls, despite the texture they possess, are considered 2D art because they are created on a two-dimensional surface. Although the cave walls may have varying textures, the act of applying paint or pigments onto the surface still occurs in a two-dimensional manner. The texture of the cave walls does not change the fundamental nature of the painting as being a representation captured within a two-dimensional space. The texture in cave paintings is more an intrinsic quality of the medium and surface than a characteristic that alters the art's dimensional classification.