Ordered structures occur from the intrinsic nature of the constituent particles to form symmetric patterns that repeat along with the principal directions of three-dimensional space in matter. Triangles and triangulation are the essences of the natural special organization of forces in dynamic equilibrium.
© Rafael Medeiros
The tetrahedron (a pyramid shape with four sides, including the base), is the most stable and space-filling structure, in fact, nature’s basic simplest structural system.  Buckminster Fuller explored widely the tetrahedron system as “the minimum system of the Universe, and it turned out to be, then, Omni-triangulated and we found that structures are always triangulated. A structure meant triangle and triangle meant structure, there were no other stable polygons. Therefore, the tetrahedron turned out to be the minimum structural system of the Universe.” © Rafael Medeiros
Casa Proa (Bow House in Portuguese) was designed by Atelier Marko Brajovic by a creative process inspired by triangular modulations on different scales and a treehouse typology. The 6x6x6 meters of equilateral triangular volume was installed at Praia do Rosa beach in Paraty (Brazil), located between a Mango tree, the traditional colonial house, and a major rock, on steep waterfront terrain.
The triangular geometry redundancy on the floor plan and section, as well on the tetrahedron roof system, promotes both structural and perceptive strategy. The architecture organiz...