Results 1 to 3 of 3

Math Help - Transitive Tilings

  1. #1
    Junior Member
    Joined
    Mar 2008
    Posts
    33

    Transitive Tilings

    I have uploaded the tilings that are to do with this question. The wording on this question is what is giving me trouble and thus not understanding the question.

    a)On the each tiling mark with a small circle one centre of rotational symmetry from each translational orbit. Indicate the order of each rotational symmetry by a number written alongside the corresponding circle.

    Could you somehow maybe explain this a bit better or show what it means on one of the tiles so I can at least do the other one.

    b) Determine if each tiling is transitive explaining your answer.

    Now I always get mixed up on what makes a tiling transitive. The only thing I can think of is in the first tiling when two of the little shapes are put together then I am able to translate that shape to anywhere on the tiling, whereas the second tiling I can't. Is this complete jiberish or am I going in the right direction

    Any help would be greatly appreciated.

    Thanx
    Attached Thumbnails Attached Thumbnails Transitive Tilings-file0003.jpg  
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    earboth's Avatar
    Joined
    Jan 2006
    From
    Germany
    Posts
    5,804
    Thanks
    115
    Quote Originally Posted by bex23 View Post
    I have uploaded the tilings that are to do with this question. The wording on this question is what is giving me trouble and thus not understanding the question.

    a)On the each tiling mark with a small circle one centre of rotational symmetry from each translational orbit. Indicate the order of each rotational symmetry by a number written alongside the corresponding circle.

    ...
    I've modified the first drawing a little bit (see attachment).

    I've marked the center of rotation by small blue circle. The light blue tiles and the orange tiles have the rotational order of 2 (if we are talking about the number of rotations until you get the original state again) and the green tiles have the order 4. But probably I've misunderstood the question completely.
    Attached Thumbnails Attached Thumbnails Transitive Tilings-tilings_rotations.gif  
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Mar 2008
    Posts
    33
    Thanks I think I get it now

    Bex
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Transitive closures
    Posted in the Discrete Math Forum
    Replies: 0
    Last Post: May 17th 2010, 02:04 PM
  2. Transitive set
    Posted in the Discrete Math Forum
    Replies: 2
    Last Post: February 24th 2009, 09:15 AM
  3. Transitive
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: September 12th 2007, 07:50 AM
  4. Tilings
    Posted in the Math Topics Forum
    Replies: 5
    Last Post: June 7th 2007, 01:56 AM
  5. Transitive vs. Substitution
    Posted in the Geometry Forum
    Replies: 34
    Last Post: February 17th 2007, 09:52 PM

Search Tags


/mathhelpforum @mathhelpforum