<正> The shape asymmetry of gaussian models of linear and circular macromolecules hasbeen numerically invesigated in terms of asphericity and prolateness parameters. Theseparameters are found to decrease with increasing length for the macromolecule eitherconfined to a plane or in three dimensions. The effect of dimensionality on theseparameters is visible only for low dimensions and is generally weak. As dimensionality goesto infinity

it is found that asphericity and prolateness for both chains and rings approachslowly yet descendingly values of corresponding asphericity and prolateness factors

withthe exception of the chain which shows a minimum value of asphericity when theembedding space has a dimensionality of four.