This chapter explores how the spatial capabilities of Artificial Superintelligence (ASI) would differ from those of AGI. After examining various digital representations of spatial entities (maps, photographs, diagrams etc.) as indicative examples, it is possible to delineate boundaries and similarities among human intelligence, AGI and ASI. It is suggested that ASI is expected to be able to perform advanced geometric, statistical and topological assessments and analyses of spatial objects, distinguish photographs of physical objects from computer simulations, identify 3D shapes, infer spatial dynamics from shapes, associate meanings with spatial entities and associate spatial allocations with non-spatial information. Further, ASI should be able to generate spatial forms in ways that neither humans nor AGI could possibly do, i.e. by integrating algorithms that have been developed in earlier stages of development of AI.