Q: Can you tile [![chessboard less two opposite corner tiles][1]][2] with [![two tiles][3]][4]?

[![Tiling proof][6]][5]

$ $ $ $


  [1]: https://i.sstatic.net/yZPJ8.gif
  [2]: http://www.cl.cam.ac.uk/~mj201/images/mutilated-chess-board2.gif
  [3]: https://i.sstatic.net/NG1ta.gif
  [4]: http://www.stewart.hinsley.me.uk/Fractals/Scripts/Polyplet.php?r0=3
  [5]: http://numberwarrior.wordpress.com/files/2009/12/tilingproof.png
  [6]: https://i.sstatic.net/FDrSX.png