When it comes to describing something complex, multidimensional description can be helpful. However, there are other ways to express this same idea. For example, you might say that something has multiple layers or facets. Another possible synonym might be nuanced description, highlighting the many subtle aspects of the subject at hand. A comprehensive description could also be similar, although this might imply a more exhaustive detail-oriented approach. Alternatively, you may describe something with a multifaceted description or highlight its many dimensions. No matter which word you choose, the idea is the same: you're looking at something from different angles to gain a fuller understanding.