math

http://en.wikipedia.org/wiki/Mean_value_theorem The mean value theorem proves that on a curve the average slope of the entire curve is a point on the derivative of that curve. Something like that.

http://www.youtube.com/watch?v=nice6NYb_WA A presentation of 3D face modeling software by a researcher.
http://www.abc.net.au/science/news/stories/2006/1777547.htm A news article about recent advances in fair divison, which is quite the cutting edge of math.
http://www.math.hmc.edu/~su/fairdivision/ Fair divison is the branch of mathematics dealing with ways to cut cake so everyone is happy.

http://en.wikipedia.org/wiki/Parallel_Postulate The parallel postulate says that if two angles are parallel to each other (or if they interset a 3rd line at the same angle) they will never interset and is part of the proof behind a lot of geometery.
http://www.youtube.com/watch?v=lmA9yb7_JVI A 1000+ man game of Capture the Flag in Toronto.

http://www.math.hmc.edu/funfacts/ffiles/20010.5.shtml The secret mathematicians don't want you to know: the formula for calculating any digit of pi.

http://www.ronpatrickstuff.com/ This guy put a jet engine in the back of his Beetle. It works.
http://www.arcanegazebo.net/2006/08/measurements_of_gravity_using.html A story about an undergrad in a lab who decides to take a 230 L DeWar flask full of liquid nitrogen down a stairway in a handcar.

http://www.short-media.com/review.php?r=313 Tips on using the repair command on the Windows XP install disk to fix a broken install.
http://blogfiles.wfmu.org/KF/2006/05/laughing_yogi.mpeg Laughing is good for you!
http://us.metamath.org/mpegif/mmmusic.html Proofs set to music.

Gil's LotD
After much ado about nothing, Gil's link of the day is back. Making up for the absence is 12 links.
http://www.smokintire.com/product.htm#Candles Candles that smell like burning rubber. For the NASCAR fan in all of us
http://sohowww.nascom.nasa.gov/data/realtime-images.html Pictures of the Sun in different spectra

Gil's LotD
http://www.planarity.net/ A game that has you move interconnected points so that none of their vertices cross

Gil's LotD
http://www.sudoku.com/ Sudoku- this is going to be big
The people who host Gil's link of the day had a lot of email newsletters to send over the weekend. If Gil's link of the day doesn't come at 5:00 as it is supposed to, don't worry. The newsletter will be sent as soon as the other ones are done.

Gil's LotD
http://www.almaden.ibm.com/vis/stm/gallery.html IBM merges art and math in this website. Very cool, but I don't fully understand it