Geodesic Truncations • Class I

Geodesic Truncations • Class I

TaffGoch
When converting a geodesic sphere to a dome, the sphere generally does not smoothly divide along a level plane • If you try to divide a geodesic sphere at ground level, you'll find that some of the bottom-most vertices are either too high or too low • The vertices in the lower tier of triangles must be adjusted so that all lie on the same plane • The domes in this model have been so adjusted • The most common frequencies of Class I domes are included: 3v, 4v and 5v • The most commonly used division 'heights' are provided: 1/3rd, 3/8ths, 1/2, 5/8ths and 2/3rds • Note that 'Color by layer' is enabled • Model revised 31 March, 2008, to more uniformly distribute vertices • Vertex positions were 'optimized' on the surface of the sphere, using an electron-charge repulsion algorithm (search online for "Thomson problem") #dome #geodesic #geodesic_dome #icosahedron
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