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Index Entry
Tensegrity Icosahedron: Volumetric Comparison With Tetra + Octa:
"In the first of the fairly large geodesic spheres which were built by the tensegrity principle we used the spherical icosahedrons because they provide by far the most volume with the least structural effort of the three basic structural systems. The tetrahedron has the least volume with the most surface; the octahedron is in the middle; and the icosahedron gives the most with the least.
"Six vector struts make one unit of quantum corresponding to the six edges of the tetrahedron.
“In the icosahedron five units of quanta give 20 units of enclosed volume which means four units of volume for each unit of energy quantum invested in the enclosing structure, whereas in the tetrahedron one unit of quantum will structurally enclose only one unit of volume. The octahedron gives you two units of volume for each quantum unit. The icosahedron gives four units of volume for each unit of quantum enclosing the structure. Therefore, the icosahedron gives you the most for the least effort.”
TENSEGRITY - SEC. 652.22 (Gray) +23
