martes, 5 de diciembre de 2023

The pavilion at the 4th Art and Architecture Biennial in Lagos, Nigeria ___ GEOMETRY


For the tensile structure, three braided cables will be employed, extending from fixed points on the sculptures at the stadium entrance (the horses) and descending towards a fixed vertex in the stadium, anchored to the ground by a stake. This setup creates three high points and a stake anchored to the ground, serving as a anchor to resist movement forces. Among the three high points, the central one will be positioned at a greater height than the lateral ones, without the need for symmetry. The resulting geometry is the projection towards a point of a scalene triangle. The shape of this pyramid depends on the heights of the anchors (H1, H2, H3) and the distance between them, as well as the distance L between H0 and P (the stake) or P1 (if the anchor point is on a taller container-like object). The key is to design a structure that meets conceptual and structural requirements. In cases where the distance L is very extensive, tensioning the cable will be challenging, while if it is too short, the pavilion will have too much inclination. We start with hypothetical heights of H1 at 6 meters, with a distance N between Hs of 3 meters and an L of 20 meters. The resulting geometry of this hypothesis shows a 30% inclination. The fabric will be supported on the three cables in the middle zone, at a distance of L/3 from A and H, with a support between two and four meters in height and a similar width. The total surface area of the fabric will be approximately thirty-six square meters, including one meter of lateral drop.