NYC-based furniture designer Yuki Iriyama Gray is fully capable of building conventional furniture with a twist on it. Below are two examples in his Aero Bench and Shoji Table:
But as you go into his more recent work, you find some wonderfully experimental stuff. His Dygnet Chair appears to be made from two rolls of fabric:
The Cloister Windsor is an amusing take on the classic stick-supported design:
Perhaps my favorite experiment is the Trunk Stool, which is made by making a single, partial cut through rolled-up sheets of felt: