In this article, the notion that brains in vats with perceptual experiences of the same type as ours could perceptually represent other entities than shapes is challenged. Whereas it is often held that perceptual experiences with the same phenomenal character as ours could represent computational properties, the present author argues that this is not the case for shapes. His argument is in brief that the phenomenal character of a normal visual experience exemplifies shapes - phenomenal shapes - which functions as the vehicle for our perceptual representation of shapes. Due to the unique mereological structure of shapes, phenomenal shapes are unable to reliably track any property but shapes. In so far as reliable tracking is a necessary condition for perceptual representation, phenomenal shapes can consequently and contrary to received wisdom only represent shapes.