Abstract: A structure capable of generating a virtual polyhedral space includes a plurality of walls, each having a first side edge, a second side edge, and a reflective surface. The walls are disposed adjacent one another, with the first side edge of each wall adjacent the second side edge of an adjacent wall, each wall lying in an associated one of a plurality of planes intersecting at a common apex, thus forming a pyramid shaped structure. So disposed, the walls define an interior space of the structure, with the reflective surfaces of the walls facing the interior space. Each wall further includes a base edge. Together, the base edges of the reflective walls define a base opening of the structure, which provides access to the interior space. The images of optional base coverings form coherent images of a virtual polyhedron in the reflective surfaces of the walls. Three-sided, four-sided, and five-sided embodiments are described.