Continuous spherical truss construction
First Claim
1. A truss structure comprising at least one octahedral rosette formed from five octahedrons each having a face joined to a face of an adjacent octahedron, the octahedrons being disposed in a ring around a node at which an apex of each of the octahedrons is joined, the octahedral rosette defining a pentagonal recess in its outer side, and associated with each octahedral rosette, a tetrahedral rosette formed from five tetrahedrons each having a face joined to a face of an adjacent tetrahedron, the tetrahedrons being disposed in a pentagonally shaped cluster with an edge of each joined face being joined to a corresponding edge of each other joined face and with opposite ends of the joined edges forming an inner and an outer apex, the tetrahedral rosette being joined to the octahedral rosette with which it is associated and fitting in the pentagonal recess in close packing fashion therein.
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Abstract
My invention relates to a tetrahedral-octahedral truss construction system for shell framework of icosahedral-spherical, and/or part-spherical structures, which are based on the regular icosahedron. The system is represented by a central nucleus and by a sequentially ordered infinite set of ever-increasing, space-filling truss layer shells, which are constructed from triangular units of equal size, equal angular values and identical proportions. Icosahedral-spherical truss shells can be constructed of single, double and multiple layers.
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Citations
7 Claims
- 1. A truss structure comprising at least one octahedral rosette formed from five octahedrons each having a face joined to a face of an adjacent octahedron, the octahedrons being disposed in a ring around a node at which an apex of each of the octahedrons is joined, the octahedral rosette defining a pentagonal recess in its outer side, and associated with each octahedral rosette, a tetrahedral rosette formed from five tetrahedrons each having a face joined to a face of an adjacent tetrahedron, the tetrahedrons being disposed in a pentagonally shaped cluster with an edge of each joined face being joined to a corresponding edge of each other joined face and with opposite ends of the joined edges forming an inner and an outer apex, the tetrahedral rosette being joined to the octahedral rosette with which it is associated and fitting in the pentagonal recess in close packing fashion therein.
Specification