Abstract: While designing a theoretical project in Venice, the extension of the Peggy Guggenheim Museum on the Grand Canal, a new geometrical system appeared, almost as a by-product. My question was: what happens with the cube, if instead of the three ninety degree planes two ninety degree and one two hundred and seventy degree planes join along the X-Y-Z axes .An inside-out surface appeared, which – while distinctly defines two spatial domains – it is not finite. It is unfinishable, extendable to infinity.As a building, only 11 cubicum-units were used, utilizing the construct’s numerous diagonals, as visual connectors between the spatial units and their surroundings.