## Thursday, September 29, 2011

### why wait wenesday   # Source Unknown

1. If you open it, close it.
2. If you turn it on, turn it off.
3. If you unlock it, lock it up.
4. If you break it, admit it.
5. If you can't fix it, call in someone who can.
6. If you borrow it, return it.
7. If you value it, take care of it.
8. If you make a mess, clean it up.
9. If you move it, put it back.
10. If it belongs to someone else, get permission to use it.
11. If you don't know how to operate it, leave it alone.
12. If it's none of your business, don't ask questions.

Squares in Squares
The following pictures show n unit squares packed inside the smallest known square (of side length s). For the n not pictured, the trivial packing (with no tilted squares) is the best known packing.

 1. 2. 3. s = 1Trivial. s = 2Proved by Frits Göbelin 1979. s = 2Proved by Frits Göbelin 1979.

 4. 5. 6. s = 2Trivial. s = 2 + 1 / √2 = 2.707+Proved by Frits Göbelin 1979. s = 3Proved by Michael Kearneyand Peter Shiu in April 2002.

 7. 8. 9. s = 3Proved by Erich Friedmanin 1999. s = 3Proved by Erich Friedmanin 1999. s = 3Trivial.

 10. 11. 14. s = 3 + 1 / √2 = 3.707+Proved by Walter Stromquist in 2003. s = 3.877+Found by Walter Trumpin 1979. s = 4Proved by Erich Friedmanin 1999.

 15. 17. 18. s = 4Proved by Erich Friedman in 1999. s = 4.675+Found by John Bidwellin 1997. s = (7 + √7) / 2 = 4.822+Found by Pertti Hamalainen in 1979.

 19. 24. 26. s = 3 + 4 √2 / 3 = 4.885+Found by Robert Wainwrightin 1979. s = 5Proved by Erich Friedmanin 1999. s = 7 / 2 + 3 / √2 = 5.621+Found by Erich Friedmanin 1997.

 27. 28. 29. s = 5 + 1 / √2 = 5.707+Found by Frits Göbelin 1979. s = 3 + 2 √2 = 5.828+Found by Frits Göbel in 1979. s = 5.934+Found by Thierry Gensaneand Philippe Ryckelynckin April 2004.

 37. 38. 39. s = 6.598+Found by David W. Cantrellin September 2002. s = 6 + 1 / √2 = 6.707+Found by Frits Göbelin 1979. s = 6.818+Found by David W. Cantrellin August 2002.

 40. 41. 50. s = 4 + 2 √2 = 6.828+Found by Frits Göbelin 1979. s = 6.947+Found by David W. Cantrellin October 2005. s = 7.598+Found by David W. Cantrellin September 2002.

 51. 52. 53. s = 7.704+Found by Károly Hajbain July 2009. s = 7 + 1 / √2 = 7.707+Found by Frits Göbelin 1979. s = 5 + 2 √2 = 7.823+Found by David W. Cantrellin September 2002.

 54. 55. 65. s = 7.848+Found by David W. Cantrellin October 2005. s = 7.987+Found by David W. Cantrellin October 2005. s = 5 + 5 / √2 = 8.535+Found by Frits Göbelin 1979.

 66. 67. 68. s = 3 + 4 √2 = 8.657+Found by Evert Stenlundin 1980. s = 8 + 1 / √2 = 8.707+Found by Frits Göbelin 1979. s = 15/2 + √7/2 = 8.822+Found by David W. Cantrellin September 2002.

 69. 70. 71. s = 8.828+Found by Maurizio Morandiin June 2010. s = 8.912+Found by David W. Cantrellin August 2002. s = 8.963+Found by David W. Cantrellin October 2005.

 82. 83. 84. s = 6 + 5 / √2 = 9.535+Found by Frits Göbelin 1979. s = 4 + 4 √2 = 9.657+Found by Evert Stenlundin 1980. s = 9 + 1 / √2 = 9.707+Found by Frits Göbelin 1979.

 85. 86. 87. s = 11 / 2 + 3 √2 = 9.742+Found by Erich Friedmanin 1997. s = 17 / 2 + √7 / 2 = 9.822+Found by Erich Friedman in 1997. s = 9.851+Found by David W. Cantrellin August 2002.

 88. 89. s = 9.901+Found by David W. Cantrellin August 2002. s = 5 + 7 / √2 = 9.950+Found by Evert Stenlund in 1980. # Poland's Mysterious Crooked Forest

In a tiny corner of western Poland a forest of about 400 pine trees grow with a 90 degree bend at the base of their trunks - all bent northward.

Surrounded by a larger forest of straight growing pine trees this collection of curved trees, or "Crooked Forest," is a mystery.

Planted around 1930, the trees managed to grow for seven to 10 years before getting held down, in what is understood to have been human mechanical intervention.

Though why exactly the original tree farmers wanted so many crooked trees is unknown. 