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Research Article

Quantizing Euclidean Motions via Double-Coset Decomposition

Figure 2

Center Voronoi cell in coset space (emerald region) with as the group of icosahedral symmetries, and center Voronoi cell in double-coset space (ruby region) with as the group of icosahedral symmetries for all cases and as a conjugated group of (from left to right) tetrahedral, octahedral, and icosahedral symmetries, respectively.