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Geometries characterized by a hierarchy based on honeycomb lattices and by a hierarchy based on close-packed lattices are introduced, where a jth-order hexagon consists of smaller (j-1)th-order hexagons, which are themselves made from a number of (j-2)th-order hexagons, and so on. When L j hexagons of the (j-1)th order constitute one side of the six sides of a jth-order hexagon, the qth-order...
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