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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 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: 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 Kjær (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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