What does pasting manage in OMPs? (Q1325721)

This paper may be considered as a supplement to an earlier one by \textit{M. Navara} and the author [Math. Nachr. 154, 157-168 (1991; Zbl 0767.06009)], where several new pasting constructions were developed. A number of successful applications of the results presented in the latter paper are now listed. A short subsection is devoted to each of the following three subjects: examples of orthomodular posets with several specific properties, search of logics with prescribed centers, state spaces or automorphisms, and description of the state space of an orthomodular poset. No details are discussed.