Nice book on geometry to gift an undergraduate in mathematics I would like some suggestions on a nice book on geometry to gift an undergraduate. I'm not searching for something that is common: I need something new and exciting. Suggestions?

I love this one. It is one of the most stimulating books on geometry that I have ever read: it is strikingly innovative and really enjoyable (also, it does not require a particularly advanced background).
From the book description: 

New Horizons in Geometry represents the fruits of 15 years of work in
  geometry by a remarkable team of prize-winning authors—Tom Apostol and
  Mamikon Mnatsakanian. It serves as a capstone to an amazing
  collaboration. Apostol and Mamikon provide fresh and powerful insights
  into geometry that requires only a modest background in mathematics.
  Using new and intuitively rich methods, they give beautifully
  illustrated proofs of results, the majority of which are new, and
  frequently develop extensions of familiar theorems that are often
  surprising and sometimes astounding. It is mathematical exposition of
  the highest order.
The hundreds of full color illustrations by Mamikon are visually
  enticing and provide great motivation to read further and savor the
  wonderful results. Lengths, areas, and volumes of curves, surfaces,
  and solids are explored from a visually captivating perspective. It is
  an understatement to say that Apostol and Mamikon have breathed new
  life into geometry.

