Geodesic Math - Salsburg

1 Geodesic MathAll Artwork, Graphics and Illustrations were created or made by:Jay Salsburg , Design Scientist, of an article by Joe ClintonGeodesic Math2 Geodesic MathProducing geodesics from the following article is an excerpt of an article by Joe Clinton on the different methods of producing geodesicsfrom the icosahedron. Formatted by Jay Salsburg , Design ScientistUsing analytical geometry (Fuller used spherical trigonometry), calculated on a computer:General procedure1. find the 3-dimensional coordinates of the vertices of the grid on the spherical surface2. find geometry using the different Methods3. calculate the chord lengths, angles etc. with these coordinates and analytical worked with Fuller on his programs and was funded by NASA on a project called Structural Design Con-cepts for Future Space Missions. The specific motivation for developing these methods was to have a variety of forms to combine in large spaceframe domes.

3 Geodesic Math The central angle δ may be found by knowing the axial angles Ω 1,& Ω2 at each end of an element. δ = 180 - ( + ΩΩ12) Chord factor (cf) = the element lengths calculated based on a radius of a non-dimensional unit of one for the spherical form with the end

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  Math, Chord, Geodesic, Geodesic math

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