The basic topologies of networked kites are as follows-
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Single-line kites are the simplest topology.
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A train of kites has a “chain” topology, and a kitefarm of single line kites has a “brush” topology.
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An arch-kite is topologically a torus; note that the surface plane is part of topological kite structure in analysis.
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Bridle topologies can be considered in a fractal sub-dimension ignored when classifying overall topology of a kite rig.
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Meshes and 3D lattices are progressively more complex topologies, but ultimately resolve into the same math of relations between adjacent units and the holes created.
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3D Kite-Lattices have theoretic topological potential to accept wind from any direction without overall geometric rotation. Lattice waves driven by wind are the theoretic AWES power harvesting basis.