Thursday, September 29, 2011

why wait wenesday


http://www.loc.gov/exhibits/cwaj/detail/images/13053u.jpg

http://apod.nasa.gov/apod/image/1011/cupolaview_iss14.jpg

http://lazymoon.org/projects/inkgrass/PastTheTree2_2-2_2048x1536.jpg


Golden Rules for Living


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 = 1
Trivial.

s = 2
Proved by Frits Göbel
in 1979.

s = 2
Proved by Frits Göbel
in 1979.


4.
           5.
           6.
s = 2
Trivial.

s = 2 + 1 / √2 = 2.707+
Proved by Frits Göbel
in 1979.

s = 3
Proved by Michael Kearney
and Peter Shiu in April 2002.


7.
           8.
           9.
s = 3
Proved by Erich Friedman
in 1999.

s = 3
Proved by Erich Friedman
in 1999.

s = 3
Trivial.


10.
           11.
           14.
s = 3 + 1 / √2 = 3.707+
Proved by Walter Stromquist
in 2003.

s = 3.877+
Found by Walter Trump
in 1979.

s = 4
Proved by Erich Friedman
in 1999.


15.
           17.
           18.
s = 4
Proved by Erich Friedman
in 1999.

s = 4.675+
Found by John Bidwell
in 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 Wainwright
in 1979.

s = 5
Proved by Erich Friedman
in 1999.

s = 7 / 2 + 3 / √2 = 5.621+
Found by Erich Friedman
in 1997.


27.
           28.
           29.
s = 5 + 1 / √2 = 5.707+
Found by Frits Göbel
in 1979.

s = 3 + 2 √2 = 5.828+
Found by Frits Göbel
in 1979.

s = 5.934+
Found by Thierry Gensane
and Philippe Ryckelynck
in April 2004.


37.
           38.
           39.
s = 6.598+
Found by David W. Cantrell
in September 2002.

s = 6 + 1 / √2 = 6.707+
Found by Frits Göbel
in 1979.

s = 6.818+
Found by David W. Cantrell
in August 2002.


40.
           41.
           50.
s = 4 + 2 √2 = 6.828+
Found by Frits Göbel
in 1979.

s = 6.947+
Found by David W. Cantrell
in October 2005.

s = 7.598+
Found by David W. Cantrell
in September 2002.


51.
           52.
           53.
s = 7.704+
Found by Károly Hajba
in July 2009.

s = 7 + 1 / √2 = 7.707+
Found by Frits Göbel
in 1979.

s = 5 + 2 √2 = 7.823+
Found by David W. Cantrell
in September 2002.


54.
           55.
           65.
s = 7.848+
Found by David W. Cantrell
in October 2005.

s = 7.987+
Found by David W. Cantrell
in October 2005.

s = 5 + 5 / √2 = 8.535+
Found by Frits Göbel
in 1979.


66.
           67.
           68.
s = 3 + 4 √2 = 8.657+
Found by Evert Stenlund
in 1980.

s = 8 + 1 / √2 = 8.707+
Found by Frits Göbel
in 1979.

s = 15/2 + √7/2 = 8.822+
Found by David W. Cantrell
in September 2002.


69.
           70.
           71.
s = 8.828+
Found by Maurizio Morandi
in June 2010.

s = 8.912+
Found by David W. Cantrell
in August 2002.

s = 8.963+
Found by David W. Cantrell
in October 2005.


82.
           83.
           84.
s = 6 + 5 / √2 = 9.535+
Found by Frits Göbel
in 1979.

s = 4 + 4 √2 = 9.657+
Found by Evert Stenlund
in 1980.

s = 9 + 1 / √2 = 9.707+
Found by Frits Göbel
in 1979.


85.
           86.
           87.
s = 11 / 2 + 3 √2 = 9.742+
Found by Erich Friedman
in 1997.

s = 17 / 2 + √7 / 2 = 9.822+
Found by Erich Friedman
in 1997.

s = 9.851+
Found by David W. Cantrell
in August 2002.

88.
           89.
s = 9.901+
Found by David W. Cantrell
in August 2002.

s = 5 + 7 / √2 = 9.950+
Found by Evert Stenlund
in 1980.

http://www.chromasia.com/images/rain_dance_b.jpg


halloween costume win

halloween costume win

dented car

dented car

awkward engagement

awkward engagement

epic storm

epic storm

threat win

threat win

rahhh!!

rahhh!!

hands free

hands free

futuristic car is futuristic

futuristic car is futuristic

practicing ...?

practicing ...?

delivering milk

delivering milk

bubble bed

bubble bed

prize fail

prize fail

cleavage fail

cleavage fail

parking lot surprise

parking lot surprise

epic treehouse

epic treehouse

comeback win

comeback win

big bike little guy

big bike little guy

parenting fail

parenting fail

headshot

headshot

'huge' tree

'huge' tree

your mom is a liar

your mom is a liar

impending fail

impending fail

ut oh

ut oh

ur anus is asking what?

ur anus is asking what?

epic spider

epic spider

product fail

product fail

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.
















Fujikawa,  Image number:fs9-2






































































































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