About cookies on this site Our websites require some cookies to function properly (required). In addition, other cookies may be used with your consent to analyze site usage, improve the user experience and for advertising. For more information, please review your options. By visiting our website, you agree to our processing of information as described in IBM’sprivacy statement. To provide a smooth navigation, your cookie preferences will be shared across the IBM web domains listed here.
August 2001
<<July August September>>
Puzzle for August 2001
This puzzle was sent in by Joel Ouaknine.
Suppose S is a finite set of points in the plane, such
that for any two points x,y in S, there is a third point
z in S, collinear with x and y (and different from x and y).
Show that all points of S are collinear.
We will post the names of those who submit a correct, original solution! If you don't want your name posted then please include such a statement in your submission!
We invite visitors to our website to submit an elegant solution. Send your submission to the ponder@il.ibm.com.
If you have any problems you think we might enjoy, please send them in. All replies should be sent to: ponder@il.ibm.com
Challenge:
08/01/01 @9:00 AM EST
Solution:
09/06/01 @9:00 AM EST
List Updated:
09/06/01 @5:00 PM EST
People who answered correctly:
Amites Sarkar (08.01.2001 @ 11:07 AM EDT)
Henry Bottomley (08.01.2001 @ 12:56 PM EDT)
Ionel Santa (08.02.2001 @ 4:41 AM EDT)
Dharmashankar Subramanian (08.02.2001 @ 3:21 PM EDT)
Saibal Mitra (08.02.2001 @ 6:35 PM EDT)
Jayavel Sounderpandian (08.08.2001 @ 2:59 AM EDT)
Alexis Megas (08.08.2001 @ 12:24 PM EDT)
Reddy Nanchary (08.08.2001 @ 1:22 PM EDT)
Ross Millikan (08.08.2001 @ 2:52 PM EDT)
Samantha Levin (08.08.2001 @ 4:50 PM EDT)
Mukul Kumar (08.10.2001 @ 2:57 PM EDT)
L Shankar Ram (08.14.2001 @ 1:09 AM EDT)
Liuwei (08.20.2001 @ 3:13 AM EDT)
Victor Chang (08.20.2001 @ 1:15 PM EDT)
Ming Song (08.22.2001 @ 1:14 PM EDT)
George Ross (08.23.2001 @ 1:04 AM EDT)
Guangwu Xu (08.23.2001 @ 2:49 PM EDT)
Nancy Schwarzkopf (08.23.2001 @ 9:48 PM EDT)
David Fraser (08.28.2001 @ 5:39 AM EDT)
Dave Biggar (08.28.2001 @ 9:18 AM EDT)
Attention: If your name is posted here and you wish it removed please send email to the ponder@il.ibm.com.