three-dimensionality

plural three-dimensionalities

1. uncountableusuallyThe state or characteristic of occupying, or of appearing to occupy, three dimensions of space.

   [T]here are several fascinating mixed-media pieces that give subtle three-dimensionality to predominately flat surfaces.

   2000 October 15, Fred B. Adelson, “Art Review: Perkins Shows Its Reach Is Regional In Exhibition”, in New York Times, retrieved 20 Nov 2015

2. idiomaticuncountableusuallyComplexity and depth of character.

   Dr. Williams . . . commended his "search for some way of talking about human value, human depth and three-dimensionality, that doesn't depend on God."

   2009 May 28, Stephen Adams, “Philip Pullman helps understanding of theology, says Archbishop of Canterbury”, in Telegraph, UK, retrieved 20 Nov 2015

   2 more examples

   Gleeson, a brilliant performer, shows us the face of evil but with the mitigating circumstances of humanity. But his three-dimensionality is jarring; at odds with the wooden movie around him.

   2005 April 1, Desson Thomson, “'In My Country': Unjustifiable”, in Washington Post, retrieved 20 Nov 2015

   In 1968, she costarred with Clint Eastwood in the feature film Coogan's Bluff, bringing three-dimensionality to the otherwise cliched role of a hippie.

   2010, Hal Erickson, “Tisha Sterling”, in New York Times, retrieved 20 Nov 2015