In this paper we show that every quasi-projective relation algebra (QRA) has within it cylindric algebras (CAs) of all finite dimensions greater than two such that (i) they are term-definable in the QRA, (ii) they have a relation algebraic reduct that is isomorphic to the QRA and (iii) these isomorphisms are also term-definable. Furthermore, these CAs form a sequence such that each of them is isomorphic to a neat reduct of the higher dimensional ones, and these isomorphisms are also term-definable.