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US 2004/0169646 A1Published application
Three dimensional mapping of all-connect graph to create strong three dimensional structures
OwnerBob Armstronginventor
Life of this patent
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Abstract
A skeletal structure appropriate for the shell of very large very strong “skyscraping” life-spaces. Formed by pulling the center of a planar all-connect graph or mandala into cone, the very high symmetry of the resulting structure creates a shell of great beauty and strength. Large towers of square, hexagonal, or star-shaped, etc. cross-section can be created by dropping verticals from the planes of intersections in the grid-work of the shell.
Claims6
A skeletal structure constructed by:
- 1) a two dimensional projection, P of an N−1 dimensional simplex,
- 2) mapping the intersections of all line segments of P to 3 dimensions by a function Z[x;y].
A skeletal structure as claimed in 1 in which
- 1) the projection P maps the N vertices of the simplex evenly around a circle (assume centered at zero),
- 2) the function Z is a function of the distance of the intersection from zero. I.e.:
- Z is a function of (a*x{circumflex over ( )}2)+(b*y{circumflex over ( )}2).
Dependencies are inferred from the claim text.