Results 1 to 7 of 7

Math Help - Hexagon shapes

  1. #1
    Newbie
    Joined
    May 2005
    Posts
    2

    Hexagon shapes

    How many different ways are there of putting 5 hexagons together so that at least one side touches?

    Can you show me please?

    Phil
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member
    Joined
    Apr 2005
    Posts
    103
    More questions:

    1. As long as they result in non-superimposable pictures without flipping? Or with flipping?
    2. You didn't specify whether they are equilateral hexagons.
    3. You didn't specify whether they are convex hexagons.
    Last edited by paultwang; May 26th 2005 at 06:28 AM.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    May 2005
    Posts
    2
    Sorry - should have said:

    non superimposable
    no flipping
    equilateral convex hexagons

    Thanks

    phil
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Super Member malaygoel's Avatar
    Joined
    May 2006
    From
    India
    Posts
    648
    Quote Originally Posted by phil@cpms
    Sorry - should have said:

    non superimposable
    no flipping
    equilateral convex hexagons

    Thanks

    phil
    What is meant by flipping(I am not good in english)?

    Malay
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by malaygoel
    What is meant by flipping(I am not good in english)?

    Malay
    Flipping - picking up and turning over - not relevant here as the OP
    has effectivly specified that they are regular hexagons.

    The OP has not specified that they be congruent, but I expect that
    is also intended.

    RonL
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,811
    Thanks
    701
    Hello, Phil

    Have you considered playing with some bathroom tiles?


    How many different ways are there of putting 5 hexagons together
    so that at least one side touches? *

    * Each hexagon must have a common side with at least one other hexagon.


    If you're waiting for some Magic Formula, you've a long wait . . .

    There are 18 ways.
    Do you really expect someone to draw the diagrams?

    I refer you to Polyominoes by Solomon W. Golomb.

    Follow Math Help Forum on Facebook and Google+

  7. #7
    Super Member malaygoel's Avatar
    Joined
    May 2006
    From
    India
    Posts
    648
    While I was trying this problem, I confronted a question:
    You have six boxes kept in a circle. You have four identical balls. In how many different ways you can put them into it?

    Malay
    Follow Math Help Forum on Facebook and Google+

LinkBacks (?)

  1. September 25th 2006, 01:25 PM

Similar Math Help Forum Discussions

  1. hexAGON
    Posted in the Geometry Forum
    Replies: 5
    Last Post: October 16th 2009, 09:00 AM
  2. hexagon
    Posted in the Algebra Forum
    Replies: 0
    Last Post: November 11th 2007, 08:36 AM
  3. Hexagon :(
    Posted in the Geometry Forum
    Replies: 2
    Last Post: May 13th 2007, 04:55 AM
  4. Hexagon
    Posted in the Geometry Forum
    Replies: 1
    Last Post: May 30th 2006, 02:46 AM
  5. **Hexagon Help**
    Posted in the Geometry Forum
    Replies: 11
    Last Post: May 2nd 2006, 09:26 AM

Search Tags


/mathhelpforum @mathhelpforum