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"The hex-pent sphere exhibits an amazing property of transformability into a geodesic spiral tube. If any two polar-opposite, chord-connecting vertices are openly released, the whole spherical structure of fat-thin diamonds will stretch out to a cylinder with those poles at the opposite ends. As it transforms into a geodesic spiral tube, the 180 equal-length chord struts approach parallel bundling together. As the cylinder approaches pure parallelism of all its members, it becomes almost a tight rope.
"The sphere consists of 12 pentagons and 20 hexagons: when it transforms into the spiral geodesic tube, it has pents and 20 hexes.
"The most symmetrical tubular array occurs when the released polar pair of vertices are those occurring at the pentagon centers of the sphere.
“This spherical-to-spiral transformable structuring must be intimate to nuclear and atomic arrangement in vinyl and like plastics where the end of a very long rod of the plastic is pierced and air is blown into it between two sets of steel”
