Geodesic Catalog • Class III

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Geodesic Division of Icosahedron • Class III Tessellation Grid • Frequencies 3-through-9 • Model revised 28 March, 2008, to more evenly distribute vertices • Endpoints were revised to 'optimize' vertex positions on the surface of a sphere, using an electron-charge repulsion algorithm (search online for 'Thomson problem') • Class III geodesic tesellation is seldom used, and if you really have the need, Class III data can be almost impossible to find • Some of the 16 geodesic spheres in this model appear identical, but are indeed different • Class III geodesic tesellations exhibit various degrees of twist, or 'skew' to the faces • A map is provided for each sphere, demonstrating the difference between spheres • Class III geodesics are also 'chiral,' meaning the rotated symmetry can be either right-handed or left-handed • This model only shows one direction of twist • If you need the opposite twist, SketchUp's 'scale' tool can be used to mirror the sphere • Spheres are 1-foot radius • Again, the SketchUp 'scale' tool can increase to the dome size desired • See cross-reference model, 'Geodesic Catalog • Tessellation' for definition and derivation of classes and frequencies: #dome #Geodesic #geodesic_dome #icosahedron