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Cross Reference
It should elucidate also the increased fail-safe advantage accomplished with each increase of frequency of triangular module subdivisions of the sphere’s unitary surface; i.e., failure of one triangular cork in an omnitriangulated spherical grid leaves a triangular hole which is utterly innocuous. Failure of one stave in a simple curvature barrel and the whole thing collapses.
"Failure of two adjacent triangular corks in a spherical system leaves a diamond-arched opening which is stable and innocuous; likewise the failure of five or six triangles leaves a completely arched pent or hex opening which is circumferentially corked and innocuous. Failure of one spherical tension member likewise leaves an only slightly relaxed, two-way detoured, i.e., diamonded relaying of the throughway tensional continuity.
Considerable relaxing of the spherical triangulated cork barrel system by many local tension failures can occur without freeing the corks to dangerously loosened local rotatability. The higher the frequency and the deeper the inter-trussing, the safer this type of spherical structure."
