Hyper-Geodesic Structures: Excerpts from a Visual Catalogby Haresh Lalvani, Pratt Inst, Brooklyn, United States,
Abstract: A class of hyper-geodesic surface structures is presented. The surfaces of known polygons, polyhedra, plane and space tessellations, higher dimensional polytopes can be subdivided into parallelograms. The subdivisions are portions of non-periodic tilings having edges parallel to an n-star, a star of n vectors, and are projections from n-dimensional space. The tilings are used to subdivide regular polygons or their fundamental regions, and the subdivided polygons are then used as faces of all regular polytopes. A repertory of plane-faced and curved space structures derived this way is shown in a visual catalog. The derived structures are alternatives to the well known geodesic surface structures used in architecture.
Subject Headings: Tiles | Vector analysis | Geodetic surveys | Curvature | Space structures | Space frames | Architecture | Geometrics
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