I was just looking at Erich's packing page, and was amazed at some of the recent improvements.  Especially the 2 squares covering a triangle solution. 6 Tans in a square (February 2008)  http://www.stetson.edu/~efriedma/taninsqu/ 8 triangles in a circle (April 2008)    http://www.stetson.edu/~efriedma/triincir/ 8 triangles in a hexagon (May 2008)  http://www.stetson.edu/~efriedma/triinhex/ 9 triangles in a square (July 2008)   http://www.stetson.edu/~efriedma/triinsqu/ 6 triangles in a triangle (August 2008)    http://www.stetson.edu/~efriedma/triintri/ 2 squares covering a triangle (March 2009)  http://www.stetson.edu/~efriedma/squcotri/ 6 triangles covering a square (April 2009)  http://www.stetson.edu/~efriedma/tricosqu/ 5 squares covering a circle (April 2009)  http://www.stetson.edu/~efriedma/sqcovcir/ 5 triangles covering a circle (June 2009)  http://www.stetson.edu/~efriedma/tricovcir/ 106 circles in a circle (Jun 2009) http://hydra.nat.uni-magdeburg.de/packing/cci/cci106.html --Ed Pegg Jr