We survey bijections between several families of objects: centrally symmetric k-triangulations of a 2(n + k)-gon, plane partitions of height at most k in the square of size n and the Type B root poset, facets of two distinct subword complexes. With one exception, these bijections are in some sense combinatorial lifts of previously known maps. Subwords are lifts of reduced words and plane partitions are lifts of linear extensions. We will also discuss extensions to other types and connections to the K-theory of miniscule varieties. This work is joint with Nathan Williams, Rebecca Patrias and Oliver Pechenik. Speaker(s): Zachary Hamaker (U. Michigan)