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Quick definition question: Dihedral group

  1. Aug 8, 2012 #1
    A dihedral group of an n-gon denoted by Dn, whose corresponding group is called the Dihedral group of order 2n?


    What I gather from that is a square has 8 symmetries, an octagon has 16, a hexagon 12, etc?
     
  2. jcsd
  3. Aug 8, 2012 #2
    Yep, you got it.
     
  4. Dec 25, 2013 #3
    When I do reflection in square do I need to put numbers and that do reflection for particular site of square. Is there some easiest way to find multiplication table of ##D_4##?
     
  5. Dec 25, 2013 #4
    Let ##R## be a rotation and ##S## a reflection. Use the relations ##S^2 = 1##, ##R^4 = 1## and ##SR = R^3S##. Using this you can find the multiplication table easily.
     
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