This is an announcement for the paper "New examples of $c_0$-saturated Banach spaces II" by Ioannis Gasparis. Abstract: For every Banach space $Z$ with a shrinking unconditional basis satisfying upper $p$-estimates for some $p > 1$, an isomorphically polyhedral Banach space is constructed having an unconditional basis and admitting a quotient isomorphic to $Z$. Archive classification: math.FA Mathematics Subject Classification: 46B03 The source file(s), satur2.tex: 36833 bytes, is(are) stored in gzipped form as 0809.1815.gz with size 11kb. The corresponding postcript file has gzipped size 93kb. Submitted from: ioagaspa@math.auth.gr The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0809.1815 or http://arXiv.org/abs/0809.1815 or by email in unzipped form by transmitting an empty message with subject line uget 0809.1815 or in gzipped form by using subject line get 0809.1815 to: math@arXiv.org.