Cutting and Overlapping. Moebius Strip in Max Reinhart Haus

Connection between external skin and inner core of the building is 2 paramount for the case study of Eisenman’s Max Reinhart house. External envelope 3 is generated by a series of surfaces perpendicular to a Möebius strip running through 4 the whole building. Each square is constrained to a rotation in the space, so that a 5 certain amount of overlapping, and subsequent cutting is generated. External surface 6 is created by the extrusion of squares into boxes, which partially overlap themselves. 7 The internal structure of the building is characterized by horizontal slices of the 8 resulting volume. The work analyses the geometrical features of the Möbius strip 9 by writing the discrete parametric equations that define this shape driver. A tenta-10 tive equation system was worked out with a circular generator element. Through the 11 variation of the parameter connected with the ordinate, it was possible to create a 12 Möebius strip with an elliptic generator. This ellipsis lays on a vertical plane perpen-13 dicular to the ground. The resulting surface generated with the elliptical Möebius 14 strip resulted to be ruled. There is a direct connection between urban landscape and 15 building shape, both in the definition of geometric parameters and the constraint of 16 morphogenetic characterization. The parametric geometry has been worked out with 17 Grasshopper to generate an accurate solution within the given constraints.