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Ponder This

June 2014

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Ponder This Challenge:

Design 25 cubes so that each cube's six faces display integer numbers in the range 0,1,...,31 such that:

  1. On each cube, all the numbers are different
  2. Any given two cubes share exactly one common number

Please give your answer as 25 lines of six numbers.

Bonus question: Use as small a range of numbers as possible.


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: 05/30/2014 @ 01:00 PM EST
Solution: 07/01/2014 @ 01:00 PM EST
List Updated: 06/26/2014 @ 01:00 PM EST

People who answered correctly:

*Radu-Alexandru Todor (05/30/2014 07:04 PM EDT)
Mark Stuckel (05/30/2014 10:20 PM EDT)
*Rogerio Ponce da Silva (05/31/2014 12:44 AM EDT)
Guangda Huzhang (05/31/2014 03:14 AM EDT)
*Jean-Baptiste Rouquier (05/31/2014 06:00 AM EDT)
*Movin Jain (05/31/2014 06:12 AM EDT)
Igor Karp (05/31/2014 08:41 AM EDT)
*Janos Csorba (05/31/2014 08:46 AM EDT)
*Oleg Vlasii (05/31/2014 10:21 AM EDT)
Hakan Summakoglu (05/31/2014 10:41 AM EDT)
William Gunther (05/31/2014 03:08 PM EDT)
Alex Fleischer (05/31/2014 03:22 PM EDT)
*Florian Fischer (05/31/2014 05:05 PM EDT)
Uoti Urpala (05/31/2014 05:10 PM EDT)
*Ioan Marius Popdan (05/31/2014 05:33 PM EDT)
*Cynthia Beauchemin (05/31/2014 06:34 PM EDT)
*Brian Kell (05/31/2014 09:13 PM EDT)
*Gilles-Philippe Paillé (05/31/2014 09:20 PM EDT)
*David Friedman (05/31/2014 09:59 PM EDT)
Kan Shen (06/01/2014 02:29 AM EDT)
*Anatoli Plotnikov (06/01/2014 03:16 AM EDT)
*Kate Thatcher & Jochen Voss (06/01/2014 06:16 AM EDT)
*Mukund R (06/01/2014 07:31 AM EDT)
*Michael Rosola (06/01/2014 07:32 AM EDT)
*Joseph DeVincentis (06/01/2014 09:31 AM EDT)
*Mathias Schenker (06/01/2014 01:25 PM EDT)
*Alan Murray (06/01/2014 01:31 PM EDT)
*Liubing Yu (06/01/2014 07:41 PM EDT)
*Rob Pratt (06/01/2014 09:42 PM EDT)
*Emir Haleva (06/02/2014 02:10 AM EDT)
Alexandre Gilotte (06/02/2014 02:57 AM EDT)
Lev Plotnikov (06/02/2014 06:54 AM EDT)
Zhang Shuai (06/02/2014 08:26 AM EDT)
*Jay R. Joshi (06/02/2014 11:20 AM EDT)
*Amy Hardesty (06/02/2014 11:22 AM EDT)
*Fletcher Dostie (06/02/2014 11:36 AM EDT)
*Philip Kinlen (06/02/2014 01:26 PM EDT)
*Todd Will (06/02/2014 01:42 PM EDT)
*Donald Dodson (06/02/2014 01:44 PM EDT)
Benjamin Phillabaum (06/02/2014 01:46 PM EDT)
*Benjamin Brumfield (06/02/2014 01:55 PM EDT)
*Michel Hannoyer (06/02/2014 01:57 PM EDT)
Ben Phillabaum (06/02/2014 02:00 PM EDT)
Levent Ertöz (06/02/2014 02:41 PM EDT)
*Fabio Filatrella (06/02/2014 11:36 AM EDT)
Monica & Khalil (06/02/2014 02:47 PM EDT)
*Daniel Bitin (06/02/2014 04:22 PM EDT)
*Adrian Orzepowski (06/02/2014 04:47 PM EDT)
*Motty Porat (06/02/2014 04:56 PM EDT)
*Sean Egan (06/02/2014 05:27 PM EDT)
*Claudiu Mihaila (06/02/2014 06:08 PM EDT)
Kurt Hectic (06/03/2014 02:52 AM EDT)
Serge Thill (06/03/2014 03:58 AM EDT)
Anand Chitipothu (06/03/2014 04:05 AM EDT)
*Matej Kollár (06/03/2014 04:48 AM EDT)
Chuck Carroll (06/03/2014 07:20 AM EDT)
*Lorenz Reichel (06/03/2014 08:17 AM EDT)
Ross A. Lippert (06/03/2014 08:51 AM EDT)
Hakan Kjellerstrand (06/03/2014 09:39 AM EDT)
Andrew Gacek (06/03/2014 12:10 PM EDT)
Kai Guttmann (06/03/2014 12:24 PM EDT)
Mike MacHenry (06/03/2014 12:58 PM EDT)
Dragos Ionescu (06/03/2014 02:21 PM EDT)
Deepak Bal (06/03/2014 02:34 PM EDT)
*Dan Dima (06/03/2014 02:36 PM EDT)
*Peter Gerritson (06/03/2014 06:11 PM EDT)
*Vineet Gupta (06/03/2014 06:52 PM EDT)
Sameer Saurabh (06/04/2014 06:05 AM EDT)
*Colas Kerkhove (06/04/2014 06:51 AM EDT)
*Huafeng Jiang (06/04/2014 09:27 AM EDT)
*Edwin Karat (06/04/2014 10:57 AM EDT)
*Reiner Martin (06/04/2014 01:12 PM EDT)
John Tromp (06/04/2014 01:40 PM EDT)
*Joe Klobusicky (06/04/2014 03:49 PM EDT)
Rudy Cortembert (06/04/2014 04:20 PM EDT)
*Claus Andersen (06/05/2014 01:48 AM EDT)
Vishal Daga (06/05/2014 01:49 AM EDT)
Puvichakravarthy Ramachandran (06/05/2014 02:43 AM EDT)
Vikram Gupta (06/05/2014 02:48 AM EDT)
*Michael Schuresko (06/05/2014 02:54 AM EDT)
*Joaquim Neves Carrapa (06/05/2014 03:50 AM EDT)
Abhishek Gupta (06/05/2014 04:33 AM EDT)
Kursad Albayraktaroglu (06/05/2014 08:45 AM EDT)
*Jamie Jorgensen (06/05/2014 12:18 PM EDT)
Lv Jianhao (06/05/2014 01:36 PM EDT)
Boaz Menuhin & Shahar Lev (06/05/2014 02:31 PM EDT)
*Sri Mallikarjun J (06/05/2014 04:07 PM EDT)
*Gil Citro (06/05/2014 07:37 PM EDT)
Nagendra Gd (06/06/2014 03:50 AM EDT)
*Stéphane Higueret (06/06/2014 04:49 AM EDT)
*Giovanni Pazienza (06/06/2014 12:00 PM EDT)
*Daniele Bovi (06/06/2014 12:52 PM EDT)
Barbara Jones (06/06/2014 04:18 PM EDT)
*Tristan Launay (06/06/2014 06:14 PM EDT)
*Petr Capek (06/06/2014 11:19 PM EDT)
Astrid Rossat-Mignod (06/07/2014 04:14 AM EDT)
Kwonil Kobe Ko (06/07/2014 11:49 AM EDT)
*Jin Hyup Hong (06/07/2014 01:31 PM EDT)
*Traian Delca (06/07/2014 04:50 PM EDT)
Hakan Summakoglu (06/08/2014 06:38 AM EDT)
*Seung Hwan (Sonny) An (06/08/2014 07:11 AM EDT)
Ronen Rojas (06/08/2014 01:10 PM EDT)
*Tim Cieplowski (06/08/2014 02:46 PM EDT)
*Peter Shim (06/08/2014 02:46 PM EDT)
*Gyorgy Gyomai (06/08/2014 04:13 PM EDT)
Michael Liepelt (06/09/2014 03:16 AM EDT)
*Hugo Pfoertner (06/09/2014 03:39 AM EDT)
Tomáš Jurík (06/09/2014 07:28 AM EDT)
Leandro Araújo (06/09/2014 08:25 AM EDT)
Emilio Del Tessandoro (06/09/2014 09:00 AM EDT)
*Evert van Dijken (06/09/2014 01:56 PM EDT)
*Álvaro Begué (06/09/2014 03:19 PM EDT)
*Nozomu Yachie (06/09/2014 09:41 PM EDT)
*Jesper Kjćr (06/10/2014 09:35 AM EDT)
*You SoonHo (06/10/2014 06:59 AM EDT)
Adam Wysocki (06/10/2014 01:19 PM EDT)
Adam Rubin (06/10/2014 04:06 PM EDT)
*Zoey Zhou (06/10/2014 06:22 PM EDT)
Jiri Navratil (06/10/2014 10:04 PM EDT)
*Tulasi Ram Reddy (06/10/2014 11:52 PM EDT)
*Jiri Hrdina (06/11/2014 03:43 AM EDT)
*William Heller (06/11/2014 08:48 PM EDT)
*Thomas Egense (06/12/2014 12:35 AM EDT)
*Philippe Fondanaiche (06/12/2014 01:56 AM EDT)
*Olivier Mercier (06/12/2014 08:49 AM EDT)
Matthew Salac (06/13/2014 09:53 AM EDT)
Tim Joseph Clark (06/13/2014 10:02 PM EDT)
*Simon Yang (06/14/2014 07:30 AM EDT)
*William Kang (06/14/2014 03:16 PM EDT)
Terence Tarvis (06/14/2014 06:16 PM EDT)
*Cristian Yones (06/14/2014 10:04 PM EDT)
*Balakrishnan Varadarajan (06/14/2014 10:28 PM EDT)
*Aliaksei Sanko (06/15/2014 03:40 AM EDT)
*Antonio García Astudillo (06/15/2014 11:46 AM EDT)
*David Yang (06/15/2014 06:54 PM EDT)
Srivathsa Acharya (06/16/2014 01:09 AM EDT)
*Daniel Blanchard (06/16/2014 03:39 AM EDT)
*Matthias Bussas (06/16/2014 06:16 AM EDT)
*Jan Fricke (06/17/2014 05:50 AM EDT)
*Aharon Malachi (06/17/2014 08:21 AM EDT)
*Daniel Matras (06/17/2014 11:46 AM EDT)
Sergey Subbotin (06/17/2014 12:22 PM EDT)
Hannes Schenck (06/17/2014 01:50 PM EDT)
*Alok Menghrajani (06/17/2014 03:25 PM EDT)
*David Jakopac (06/17/2014 04:53 PM EDT)
*Armin Krauss (06/18/2014 02:44 AM EDT)
Said Mohamed (06/18/2014 07:25 AM EDT)
*Renato Negrinho (06/18/2014 08:43 AM EDT)
Lindsey Puryear (06/18/2014 05:15 PM EDT)
*Dheeraj Reddy (06/18/2014 09:43 PM EDT)
*Michael Brundage (06/18/2014 11:21 PM EDT)
*Chen JianFeng (06/18/2014 11:39 PM EDT)
*Yossi Fendel (06/19/2014 06:37 PM EDT)
*Ramachandra Rao Nagam (06/20/2014 11:16 AM EDT)
*Surabhi Abhyankar (06/20/2014 04:01 PM EDT)
*Jaesung Son (06/20/2014 11:51 PM EDT)
*Norbert Koszó (06/21/2014 03:59 AM EDT)
*Maris Van Sprang (06/21/2014 07:18 AM EDT)
*Woosung (William) Jung (06/21/2014 12:35 PM EDT)
*Michael Liepelt (06/21/2014 02:43 PM EDT)
Ariel Ish-Shalom (06/21/2014 11:21 PM EDT)
*Aviv Nisgav (06/22/2014 03:47 AM EDT)
Andrea Siviero (06/22/2014 10:47 AM EDT)
*Da Young (Clara) Hong (06/22/2014 06:56 PM EDT)
*Ehud Schreiber (06/23/2014 06:17 AM EDT)
*Nicholas Ngiam & Liu Ren Wei (06/23/2014 09:27 AM EDT)
*Colin Bell (06/23/2014 11:50 AM EDT)
*Deron Stewart (06/23/2014 04:39 PM EDT)
Chris Davey (06/23/2014 05:07 PM EDT)
*Taketsuna Hisaji (06/24/2014 01:02 AM EDT)
*Patrick Langechuan (06/24/2014 10:50 AM EDT)
*Gehan Corea (06/24/2014 01:39 PM ED
*Yue Ru Sun (06/24/2014 10:50 PM EDT)
*Yewoon Choi (06/25/2014 08:18 AM EDT)
*Benjamin Fox (06/25/2014 05:00 PM EDT)
*Yewoon Choi (06/25/2014 08:18 AM EDT)
Balkrishna Ketkar (06/26/2014 11:25 PM EDT)
*Graham Hemsley (06/28/2014 05:50 AM EDT)
Zhuo Wang (Jimmy) (06/28/2014 10:18 PM EDT)
Kalyana Chakravarthy S. (06/29/2014 01:46 AM EDT)
*Shouky Dan & Tamir Ganor (06/29/2014 05:44 AM EDT)
Konstantin Dzhigardzhyan (06/29/2014 01:22 PM EDT)
*David Greer (06/29/2014 07:38 PM EDT)
Eric Ivancich (06/29/2014 10:32 PM EDT)
*Richard Lewis Wu (06/29/2014 10:39 PM EDT)
*Vladimir Dorofeev (06/30/2014 06:50 AM EDT)
Vivek Ranjan Nema (06/30/2014 07:17 AM EDT)
Andrew Scherbakov (06/30/2014 09:13 AM EDT)


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