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The symmetry point groups for all combinatorially non-isomorphic 9- and 10-hedra (2606 and 32300, respectively) are contributed in the paper for the first time. The most symmetrical polyhedra of 3 to 32 automorphism group orders (50 and 187, respectively) are drawn in the Schlegel projections and characterized by the facet symbols and symmetry point groups.

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