Ponder This — June’s Challenge!

Welcome to our “Ponder This” monthly puzzles. You are cordially invited to match wits with some of the best minds in IBM Research. Forge ahead and ponder this month’s problem!

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. All the numbers on each cube 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.


IBM Research will post the names of those who submit a correct, original solution to their website! If you don’t want your name posted then please include such a statement in your submission. 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

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