¶ Geodesic Structure (2)
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Index Entry
Geodesic Structure:
"As each of the chordal ends between vertexes of our geodesic structure is tensionally restrained by the comprehensive trussing of the sphere, it is seen that when pressure is exerted inwardly against any vertex it will thrust outwardly against each of the chords leading radially from it. It will be seen that, inasmuch as each vertex represents a pyramid of triangular planes, the bases of the planes opposite the vertex constitute a closed tensional ring. Because the linkage is of great circle chords and because sections of the great circle always represent the shortest distance between any two points on a sphere (and the chords of the great circle represent the shortest distance between the two points in space through the sphere), the ring of chords tensionally opposite the compression thrust of the pyramidal lines from any one vertex may not be elongated. The vertexes will not subside.
“Thus it seems that the geodesic structure employs the principle of compound curvature as the stress is radially distributed from a single point. All the vertexes surrounding any one vertex are secondarily actuated, and each in turn thrusts outwardly to adjacent vertexes; rings of triangles of geodesic lines are successively activated from the original thrust”
