The phrase 'a rich interplay' is correct and can be used in written English.
You can use it to describe a situation in which two or more elements interact in complex and interesting ways. For example: "The classroom discussion revealed a rich interplay of intellectual ideas and real-life experiences."
The Arkansas Testament and Tiepolo's Hound stage a rich interplay of cultural dialogue between equals.
The functional responses of cells in fabricated microenvironments have revealed a rich interplay between the genome and extracellular effectors in determining cellular phenotypes and in a number of cases have revealed the dominance of microenvironment over genotype.
There has been a rich interplay in recent years between (i) empirical investigations of real-world dynamic networks, (ii) analytical modeling of the microscopic mechanisms that drive the emergence of such networks, and (iii) harnessing of these mechanisms to either manipulate existing networks, or engineer new networks for specific tasks.
Da Silva told the Guardian that the origin of folk tales was one of the "biggest mysteries" in folk tale studies, with its reconstruction "often frustrated not only by difficulties in defining the genre but also as a result of the rich interplay between oral and written traditions".
The rich interplay of sweetish poussin with nuts and butter is a guilty pleasure.
The Black Forest cake is a natural starting point, one that may well finish you off, too, given its rich interplay of cherry jam, chocolate ganache and whipped cream ($22 for an 8-inch double-layer).
The rich interplay of sci-fi and mainstream literature produced some of the best novels of 2014.
In his volumes, he described tanagers, flycatchers and several hundred species of tropical birds while observing the rich interplay of life on his 180-acre farm.
Central to pollen dispersal is the rich interplay between physics and biology and between space and time.
The scan rate dependence of the surface area normalized capacitance highlights the rich interplay of the electrolyte ions with pores of various sizes.
Finally, to illustrate the rich interplay between geometry within the lumigraph and the underlying geometry of the scene, we show that it is actually possible to use the reconstructed lumigraph to estimate the underlying scene geometry.
