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Ponder This

June 2006

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Ponder This Challenge:

Puzzle for June 2006.

Suppose we use dominoes to tile an infinite strip of height 2. In a typical tiling what fraction of the dominoes will be oriented vertically?  Typical can be defined rigorously by considering all possible tilings of a 2*n rectangle and then letting n go to infinity.


The first 100 people who answer all parts correctly will be listed. The answer will be posted a week after the 100th is received, or at the end of the month.

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 webmaster.

If you have any problems you think we might enjoy, please send them in. All replies should be sent to: webmster@us.ibm.com

  

Challenge: 06/01/2006 @ 10:00 AM EST
Solution: 06/30/2006 @ 03:00 PM EST
List Updated: 06/01/2006 @ 10:00 AM EST

People who answered correctly:

Kevin Costello (06.01.2006 @11:40:03 AM EDT)
Balakrishnan V (06.01.2006 @12:04:59 PM EDT)
Dan Dima (06.01.2006 @12:49:47 PM EDT)
Frank Yang (06.01.2006 @04:06:23 PM EDT)
Dinesh Krithivasan (06.01.2006 @04:58:04 PM EDT)
Jan Rubak (06.01.2006 @05:01:44 PM EDT)
Hagen von Eitzen (06.01.2006 @06:18:01 PM EDT)
David Vaccaro (06.01.2006 @08:20:58 PM EDT)
Steven Noble (06.01.2006 @08:21:41 PM EDT)
Luke Pebody (06.01.2006 @09:42:18 PM EDT)
lalafa1003 (06.01.2006 @09:48:13 PM EDT)
Graeme McRae (06.02.2006 @03:04:14 AM EDT)
Roberto Tauraso (06.02.2006 @07:35:08 AM EDT)
Kennan Shelton (06.02.2006 @09:25:17 AM EDT)
Harold Gutch (06.02.2006 @10:53:48 AM EDT)
Michael Brand (06.02.2006 @11:18:47 AM EDT)
Miroslava Sotakova (06.02.2006 @11:28:31 AM EDT)
Jol Bleuse (06.02.2006 @01:04:32 PM EDT)
Andrew McRae (06.02.2006 @03:20:14 PM EDT)
Eugene Vasilchenko (06.02.2006 @04:33:29 PM EDT)
Douglas Zare (06.02.2006 @05:43:16 PM EDT)
Alap Karapurkar (06.02.2006 @07:14:58 PM EDT)
Dion K Harmon (06.02.2006 @07:58:36 PM EDT)
James Dow Allen (06.03.2006 @01:35:46 AM EDT)
Manuel Grf (06.03.2006 @12:13:43 PM EDT)
Chris Hills (06.03.2006 @01:32:01 PM EDT)
Vitaly Stakhovsky (06.03.2006 @02:22:14 PM EDT)
John Dalbec (06.03.2006 @03:59:18 PM EDT)
Gareth McCaughan (06.03.2006 @07:06:48 PM EDT)
John Hubenschmidt (06.04.2006 @12:43:31 AM EDT)
Andrey Goder (06.04.2006 @02:36:19 AM EDT)
Alexey Vorobyov (06.04.2006 @03:43:51 AM EDT)
Dan Pryor (06.04.2006 @08:45:01 AM EDT)
Joseph DeVincentis (06.04.2006 @12:11:49 PM EDT)
Ping-Che Chen (06.04.2006 @02:21:08 PM EDT)
Ed Sheppard (06.04.2006 @09:07:01 PM EDT)
Guangzhong Sun (06.04.2006 @11:36:41 PM EDT)
Alan Murray (06.05.2006 @01:16:05 AM EDT)
Roger Thompson (06.05.2006 @03:59:13 AM EDT)
Tristrom Cooke (06.05.2006 @05:29:23 AM EDT)
John Tromp (06.05.2006 @08:07:28 AM EDT)
Matthew Paterson (06.05.2006 @08:35:22 AM EDT)
Chris Lomont (06.05.2006 @01:57:15 PM EDT)
Se Kwon Kim (06.06.2006 @03:23:39 AM EDT)
Ben North (06.06.2006 @05:17:21 AM EDT)
Ashish Mishra (06.06.2006 @05:46:26 AM EDT)
David McQuillan (06.06.2006 @07:33:06 AM EDT)
Frank Schmidt (06.06.2006 @09:20:09 AM EDT)
Phil Muhm (06.06.2006 @01:29:00 PM EDT)
Kerry M Soileau (06.06.2006 @05:15:04 PM EDT)
William C Hasenplaugh (06.06.2006 @05:58:42 PM EDT)
Kirk Bresniker (06.06.2006 @07:34:38 PM EDT)
Wolf Mosle (06.06.2006 @08:10:26 PM EDT)
Biantaishabi (06.06.2006 @09:46:40 PM EDT)
Austin Shapiro (06.06.2006 @11:17:42 PM EDT)
Bart De Vylder (06.07.2006 @08:55:35 AM EDT)
Thijs Veugen (06.07.2006 @09:36:02 AM EDT)
Chuck Carroll (06.07.2006 @09:39:04 AM EDT)
Andrew Buchanan (06.07.2006 @09:56:00 AM EDT)
Christian Blatter (06.07.2006 @10:51:24 AM EDT)
Alex Izvalov (06.08.2006 @02:38:01 PM EDT)
David Friedman (06.08.2006 @02:43:15 PM EDT)
Ramkumar Balaraman (06.08.2006 @08:07:58 PM EDT)
Eric R. Farmer (06.09.2006 @09:46:26 AM EDT)
Emilio Schiavi (06.09.2006 @01:52:32 PM EDT)
Du Yang (06.09.2006 @02:30:08 PM EDT)
Brendan Owen (06.10.2006 @02:18:19 AM EDT)
Chuck Nelson (06.10.2006 @12:20:58 PM EDT)
Wolfgang Kais (06.10.2006 @05:19:18 PM EDT)
Wolf Mosle (06.11.2006 @12:31:27 AM EDT)
Edna Mantsour (06.11.2006 @09:27:50 AM EDT)
Jan Van Delden (06.11.2006 @02:15:11 PM EDT)
Narayanan Rajamani (06.11.2006 @06:18:06 PM EDT)
Mohammed Ajmal (06.11.2006 @07:24:15 PM EDT)
Pushkar S. Joglekar (06.12.2006 @06:28:37 AM EDT)
Zhou Guang (06.12.2006 @09:05:42 PM EDT)
Firat Solgun (06.13.2006 @04:45:11 PM EDT)
Richard A Bauer (06.14.2006 @12:56:34 AM EDT)
Jack Kennedy (06.14.2006 @01:30:56 PM EDT)
Robin Ryder (06.15.2006 @10:23:31 AM EDT)
John G. Fletcher (06.15.2006 @04:27:32 PM EDT)
Clive Tong (06.16.2006 @07:04:11 AM EDT)
John Roy (06.16.2006 @11:37:59 AM EDT)
Federico Felizzi (06.19.2006 @02:40:39 AM EDT)
Ariel Flat (06.19.2006 @02:47:39 AM EDT)
Vince Lynch (06.19.2006 @07:07:43 PM EDT)
Jiri Hrdina (06.21.2006 @08:02:34 AM EDT)
Van Steirteghem Anneke (06.21.2006 @09:42:26 AM EDT)
Greg Bubnis (06.21.2006 @09:57:19 AM EDT)
Ervan Darnell (06.21.2006 @06:58:06 PM EDT)
Leo Broukhis (06.21.2006 @10:34:44 PM EDT)
Yoav Raz (06.22.2006 @10:18:50 PM EDT)
Greg Jane (06.23.2006 @03:26:16 AM EDT)
Jonathan Mizrahi (06.27.2006 @08:25:21 AM EDT)
Christopher Reed (06.29.2006 @08:04:02 AM EDT)


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