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May 2013 POM - Puzzle-of-the-Month - Golf ball Dimples


Best Answer bonanova, 13 May 2013 - 10:07 AM

OK I have it.

 

Spoiler for Euler and the pentagon
Go to the full post


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#1 BMAD

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Posted 12 May 2013 - 02:31 AM

A regulation golf ball is spherical and has 384 dimples, arranged in a triangular pattern.  Most of the dimples are surrounded by six other dimples, but some are surrounded by only five. How many dimples have only five neighbors?

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#2 bonanova

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Posted 12 May 2013 - 03:36 AM

Spoiler for possibly


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#3 BMAD

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Posted 12 May 2013 - 03:44 AM

Spoiler for possibly

but can someone prove it?


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#4 bonanova

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Posted 12 May 2013 - 04:04 AM

Spoiler for types of proofs


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

#5 bonanova

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Posted 12 May 2013 - 09:52 PM

Spoiler for perhaps there is a numerical proof


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

#6 BMAD

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Posted 12 May 2013 - 11:13 PM

Spoiler for perhaps there is a numerical proof

Yes...using Euler is the way to go in the proof.


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#7 bonanova

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Posted 13 May 2013 - 10:07 AM   Best Answer

OK I have it.

 

Spoiler for Euler and the pentagon

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

#8 BMAD

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Posted 13 May 2013 - 09:13 PM

Well done Bonanova!


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#9 BMAD

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Posted 03 June 2013 - 03:17 PM

wow! pinned!


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