Three Dimensional Polyhedral Array
First Claim
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1. A polyhedral array, comprising:
- a plurality of discrete polyhedrons that are spaced apart from each other at equilibrium in a predetermined generally regular pattern, each polyhedron being comprised of edges, faces and vertices; and
a connection network comprising connections extending along bias directions to connect the polyhedrons;
wherein the connection network at least partially constrains the discrete polyhedrons with respect to each polyhedron'"'"'s six degrees of freedom.
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Abstract
A polyhedral array comprises a plurality of discrete polyhedrons and a connection network comprising connections that connect the polyhedrons. The discrete polyhedrons are spaced apart from each other at equilibrium in a predetermined generally regular pattern, and each polyhedron is comprised of edges, faces and vertices. The connection network at least partially constrains the discrete polyhedrons relative to each polyhedron'"'"'s six degrees of freedom. In some embodiments, the connections extend along the bias of the array. In other embodiments, the connections extend along radial directions. All implementations can be constructed as regular arrays or in lattice networks.
53 Citations
45 Claims
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1. A polyhedral array, comprising:
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a plurality of discrete polyhedrons that are spaced apart from each other at equilibrium in a predetermined generally regular pattern, each polyhedron being comprised of edges, faces and vertices; and a connection network comprising connections extending along bias directions to connect the polyhedrons; wherein the connection network at least partially constrains the discrete polyhedrons with respect to each polyhedron'"'"'s six degrees of freedom. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38)
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39. A polyhedral array, comprising:
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a plurality of discrete polyhedrons that are spaced apart from each other at equilibrium in a predetermined generally regular pattern, each polyhedron being comprised of edges, faces and vertices; and a connection network interconnecting the discrete polyhedrons, the connection network comprising radial connections, wherein a first end of each radial connection and a corresponding first connection location on one of the polyhedrons occupy a first plane, and wherein a second end of each radial connection and a corresponding second connection location on another of the polyhedrons occupy a second plane that is not parallel to the first plane, wherein the interconnecting network at least partially constrains the discrete polyhedrons relative to each polyhedron'"'"'s six degrees of freedom. - View Dependent Claims (40)
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41. A polyhedral array, comprising:
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a plurality of discrete polyhedrons that are spaced apart from each other at equilibrium in a generally regular pattern, each polyhedron being comprised of edges, faces and vertices; and a connection network interconnecting the discrete polyhedrons, the connection network comprising connections having a first end connected in a first plane and a second end connected in a second plane different from the first plane, wherein the connection network at least partially constrains the discrete polyhedrons relative to three Cartesian axes, and adjacent polyhedrons are oriented in a face to face relationship relative to each other. - View Dependent Claims (42, 43, 44, 45)
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Specification