Summary
A dimensional analysis shows that all chiral labeled and unlabeled simplexes inE 2 and all maximally labeled simplexes in higher dimensions, are unique in that they can be partitioned into disjoint heterochiral sets. Such partition is impossible for all other labeled and unlabeledm-point sets (m ⩾n + 2) inE n, since they and their enantiomorphs are chirally connected.
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Weinberg, N., Mislow, K. On chiral pathways inE n: A dimensional analysis. Theoret. Chim. Acta 95, 63–65 (1997). https://doi.org/10.1007/BF02341691
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DOI: https://doi.org/10.1007/BF02341691