one-dimensional vs planar

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. 

planar

adj
  • Of or pertaining to a plane. 

  • Having a flat profile, not etched into a mesa. 

  • Able to be embedded in the plane with no edges intersecting. 

  • Flat, two-dimensional. 

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