Results 1 to 5 of 5

Math Help - Dividing a hexagon into 12 congruent parts

  1. #1
    Newbie
    Joined
    Nov 2008
    Posts
    5

    Smile Dividing a hexagon into 12 congruent parts

    I need help on a project. Here is the problem : Dissecting a Hexagon
    Draw 6 regular hexagons. Then dissect each hexagon into twelve identical or congruent parts in 6 different ways. Note: A regular hexagon has 6 equal angle and 6 equal sides.
    Also, my teacher told me that one of them involved squares, but I can't figure that one out. Please help. I already have these:
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Newbie
    Joined
    Nov 2008
    Posts
    4
    1 answer is to make 2 triangle one going<|and the other |>. they would be intersecting each otherto create a 6 pointed star
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Nov 2008
    Posts
    5
    Quote Originally Posted by pyromir View Post
    1 answer is to make 2 triangle one going<|and the other |>. they would be intersecting each otherto create a 6 pointed star
    That is not congruent/equal, but thanks anyways.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Newbie
    Joined
    Jan 2014
    From
    USA
    Posts
    1

    Re: Dividing a hexagon into 12 congruent parts

    Dividing a hexagon into 12 congruent parts-img_0045.jpgClick image for larger version. 

Name:	IMG_0045.jpg 
Views:	24 
Size:	1.01 MB 
ID:	30063

    There are many different ways, these are just some of them.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,715
    Thanks
    633

    Re: Dividing a hexagon into 12 congruent parts

    Hello, marspatrol!

    Draw 6 regular hexagons.
    Then dissect each hexagon into twelve identical or congruent parts in 6 different ways.

    A regular hexagon can be dissected into 24 equilateral triangles.

    Code:
              *---*---*
             / \ / \ / \
            *---*---*---*
           / \ / \ / \ / \
          *---*---*---*---*
           \ / \ / \ / \ /
            *---*---*---*
             \ / \ / \ /
              *---*---*
    Then the 12 congruent parts are diamond-shaped.
    Code:
            *
           / \
          *   *
           \ /
            *

    Here are two possible dissections . . .

    Code:
              *---*---*
             / \   \   \
            *   *---*---*
           / \ / \   \   \
          *   *   *---*---*
           \ / \ /   /   /
            *   *---*---*
             \ /   /   /
              *---*---*

    Code:
              *---*---*
             /   / \   \
            *---*   *---*
           / \   \ /   / \
          *   *---*---*   *
           \ /   / \   \ /
            *---*   *---*
             \   \ /   /
              *---*---*
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Hexagon
    Posted in the Geometry Forum
    Replies: 0
    Last Post: October 15th 2010, 05:45 PM
  2. Replies: 8
    Last Post: February 23rd 2009, 07:46 PM
  3. dividing curve area in to equal parts?
    Posted in the Calculus Forum
    Replies: 0
    Last Post: October 30th 2008, 12:09 PM
  4. Replies: 1
    Last Post: February 20th 2008, 01:00 PM
  5. Dividing a triangle into 4 equal parts
    Posted in the Geometry Forum
    Replies: 2
    Last Post: May 23rd 2007, 07:24 PM

Search Tags


/mathhelpforum @mathhelpforum