Using computers to solve a system of 20 variables, a challenge to make seven cigarettes touch each other is answered. Gardner himself technically answered his own challenge, but not in such an interesting way, because the ends of the cigarettes were involved. Now it can be done with 7 infinitely long cigarettes.

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TopNewest2nd Try: Stand a cigarette upright. Then lay 3 flat cigarettes all touching it and each other , which is possible if they're 120 degrees apart. Do the same on top of that with another 3, but the mirror image of the first.

I'm not sure why we need to invoke "infinitely long cigarettes". – Michael Mendrin · 2 years, 11 months ago

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– Finn Hulse · 2 years, 9 months ago

I'm interested as to why you have cigarettes in the first place... Bad habit. :DLog in to reply

– Michael Mendrin · 2 years, 9 months ago

What's a habit worse than cigarettes is not understanding a problem correctly the first time around.Log in to reply

– Finn Hulse · 2 years, 9 months ago

Haha, I am victim to this habit. :DLog in to reply

– Dan Krol · 2 years, 11 months ago

Interesting, I didn't consider that making the cigarette longer could make it easier. But that's because the cigarettes are of a certain thickness. Maybe the solution from the article still wouldn't work with real cigarettes. Maybe Virginia Slims, heh.Log in to reply

– Michael Mendrin · 2 years, 11 months ago

In re-reading this question, I understand now that what was done recently by those mathematicians was to find a solution using 7 infinitely long cigarettes, which is much harder to do. Again, I had fallen back on my bad habit of solving a problem before I've fully understood it.Log in to reply

Stand a cigarette upright. Then lay 3 flat cigarettes all touching it and each other , which is possible if they're 120 degrees apart. Do the same on top of that with another 3, but the mirror image of the first. I'm not sure why we need to invoke "infinitely long cigarettes". – Abhishek Bisht · 2 years, 9 months ago

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Maybe I'm not imagining your model correctly though. – Dan Krol · 2 years, 8 months ago

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I was once asked the "how many" version of this question for both finite and infinite cylinders as an interview question. I'm still kind of at a loss what was expected as a "good" interview response... – Daniel Hirschberg · 2 years, 11 months ago

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– Daniel Hirschberg · 2 years, 11 months ago

Update: I just reached out to one of the people who interviewed me at that company to let them know that the problem is now solved. He said "Worst interview question ever."Log in to reply