This shape is a world record holder you need 20 tiles before it will tile the plane periodically (10 up to symmetry). It fits together in an amazing variety of ways but can easily block itself. Making it a fun puzzle.
The tiles were found by a massive computer search by Joseph Myers. Look for this and other puzzling shapes at: http://www.srcf.ucam.org/~jsm28/tiling/
The idea to make physical tiles was originally from Chaim Goodman-Strauss: http://www.mathbun.com
Cut out of acrylic/card/wood/stone using your favourite cutter, laser water-jet, craft etc. Cut file set up for A4 sheet.