Theories of picture perception aim to understand our perceptual relation to both the picture surface and the depicted object. I argue that we should talk about not two, but three entities when understanding picture perception: (A) the picture surface, (B) the three dimensional object the picture surface visually encodes and (C) the three dimensional depicted object. As (B) and (C) can come apart, we get a more complex picture of picture perception than normally assumed and one where the notion of twofoldness, which has played an important albeit controversial role in understanding picture perception is replaced by the concept of threefoldness.