Abstract
A number of options are given for constructing Platonic and Semi-Platonic solids for spherical discretization. This chapter provides just spherical grids and a simple non-conserving toy model. However, the tools and the example provided in Chapters “Finite Difference Schemes on Sparse and Full Grids” and “Full and Sparse Hexagonal Grids in the Plane” allow to create L-Galerkin sparse grids on the sphere. Further L-Galerkin methods will be presented in Chapter “Numerical Tests.”KeywordsPlatonic solidsSemi-platonic solidsSolid generated gridsSpheric polygonal approximationsSpherical projectionsSpherical tests
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