Jump to content


Welcome to BrainDen.com - Brain Teasers Forum

Welcome to BrainDen.com - Brain Teasers Forum. Like most online communities you must register to post in our community, but don't worry this is a simple free process. To be a part of BrainDen Forums you may create a new account or sign in if you already have an account.
As a member you could start new topics, reply to others, subscribe to topics/forums to get automatic updates, get your own profile and make new friends.

Of course, you can also enjoy our collection of amazing optical illusions and cool math games.

If you like our site, you may support us by simply clicking Google "+1" or Facebook "Like" buttons at the top.
If you have a website, we would appreciate a little link to BrainDen.

Thanks and enjoy the Den :-)
Guest Message by DevFuse
 

Photo
- - - - -

401 unit diameter Circles in a 400 unit rectangle


  • Please log in to reply
15 replies to this topic

#11 TimeSpaceLightForce

TimeSpaceLightForce

    Senior Member

  • Members
  • PipPipPipPip
  • 616 posts
  • Gender:Male

Posted 15 July 2013 - 09:03 AM

 

Spoiler for

 

Spoiler for It has to be different in the following way

 

Spoiler for


  • 0

#12 plasmid

plasmid

    Senior Lolcat

  • VIP
  • PipPipPipPip
  • 1411 posts
  • Gender:Male

Posted 15 July 2013 - 02:12 PM



Spoiler for It looks possible

If you try to compact the top row like this, at some point during compaction the circles on the top row must lie directly above the circles on the bottom row at which point such compaction cannot continue. Or if you propose that the compaction traverses a zone where circle N-1 is just a tiny bit to the right of circle M-1 below it and circle N is just a tiny bit to the left of circle M below it, all without ever having the top row of circles exactly above the bottom row, then if the lower circles M-1 and M are touching then it would require you to somehow pack more efficiently in that block of four circles than rectangular packing.

 

Edit: although now that I understand TSLF's answer, I think that it should work in principle. Haven't verified the calculations myself yet though.

 

Edit2:

Spoiler for now that I did the calculations


Edited by plasmid, 15 July 2013 - 03:03 PM.

  • 0

#13 BMAD

BMAD

    Senior Member

  • Members
  • PipPipPipPip
  • 1664 posts
  • Gender:Female

Posted 26 November 2013 - 03:56 AM

Spoiler for the solution


  • 0

#14 harey

harey

    Junior Member

  • Members
  • PipPip
  • 81 posts
  • Gender:Male

Posted 27 November 2013 - 12:09 AM

Really easy!!!

Spoiler for

Edited by harey, 27 November 2013 - 12:10 AM.

  • 0

#15 BMAD

BMAD

    Senior Member

  • Members
  • PipPipPipPip
  • 1664 posts
  • Gender:Female

Posted 27 November 2013 - 02:24 AM

I disagree with your first perverted twist of the rules harey.as i feel that the overlapping and unit circle (designated diameter) was implied from the previous sentence.


Edited by BMAD, 27 November 2013 - 02:25 AM.

  • 0

#16 TimeSpaceLightForce

TimeSpaceLightForce

    Senior Member

  • Members
  • PipPipPipPip
  • 616 posts
  • Gender:Male

Posted 28 November 2013 - 08:48 PM

Spoiler for the solution

Does these triads form an equilateral triangle?


  • 0




0 user(s) are reading this topic

0 members, 0 guests, 0 anonymous users