Building structures based on polygonal members and icosahedral

Static structures (e.g. – buildings) – Compound curve structure – Geodesic shape

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52 794, 52648, 52DIG10, E04B 132

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active

047233826

ABSTRACT:
Building structures based on polygonal members with coplanar straight edges and icosahedral symmetry. The building structures comprise a set of ten elementary polygonal members, including four triangular members and six parallelogram-shaped members, that are combined to form tetrahedral, octahedral and half-octahedral or trucated tetrahedral, cuboctahedral and truncated octahedral or rhombohedral and parallelpiped building members that in turn fill a three-dimensional space periodically or non-periodically. The orientation of the building members is such that all edges are parallel to the fifteen two-fold axes of rotation of icosahedral symmetry.

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P. Kramer, Non-Periodic Central Space Filing with Icosahedral Symmetry Using Copies of Seven Elementary Cells, Acta. Cryst. 1982 pp. 257-264.
R. Mosseri et al, Two and Three Dimensional Non-Periodic Networks Obtained from Self-Similar Tiling, Structure of Non-Crystalline Materials 1982, pp. 137-150.

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