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Cigarette pairings


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3 replies to this topic

#1 BMAD

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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

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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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