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Guest Message by DevFuse

# Cigarette pairings

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Posted 14 October 2013 - 01:41 AM

You have an infinite cache of cigarettes. What is the maximum number of cigarettes you can place on a table so that every cigarette touches every other cigarette? (You can't bend the cigarettes.)

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### #2 bonanova

bonanova

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Posted 14 October 2013 - 09:22 AM

Spoiler for as I recall

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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

### #3 TimeSpaceLightForce

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Posted 27 October 2013 - 05:55 PM

Spoiler for

Edited by TimeSpaceLightForce, 27 October 2013 - 05:59 PM.

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### #4 bonanova

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Posted 29 October 2013 - 05:54 AM

Here's one claim that seven can be done.

Spoiler for Here is a trivial solution, for sharpened pencils

Spoiler for Here is a solution for unsharpened pencils or cigarettes

Edited by bonanova, 29 October 2013 - 05:58 AM.
Link to the seven solution

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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

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