By focusing our attention on the set of monomials outside a given monomial ideal we tackle the study of the geometric configurations of (reduced) unions of projective linear varieties arising from lifting monomial ideals via a classic lifting procedure, called t-lifting, and a more general lifting procedure, called pseudo-t-lifting. We observe that, in contrast to the Artinian case, in the positive dimensional case we may not obtain generalized stick figures also via a generic pseudo-t-lifting. In particular, in dimension 1 a generic pseudo-1-lifiting produces a seminormal union of lines. Then we give conditions to obtain generalized stick figures by means of pseudo-t-liftings of nonArtinian monomial ideals.
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