one-dimensional vs tip of the iceberg

one-dimensional

adj
  • Lacking personal depth and substance; conceited, vain, shallow, superficial. 

  • Having length, but no width, height or depth. 

  • Lacking depth or believability; flat. 

tip of the iceberg

noun
  • A small indication of a larger possibility; the first part encountered of a problem that is much bigger than it seems. 

How often have the words one-dimensional and tip of the iceberg occurred in a corpus of books? (source: Google Ngram Viewer )