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Math Help - Shapes and symmetry

  1. #1
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    Shapes and symmetry

    I am stuck with a question.

    I need a shape with a rotational symmetry order of 1 and 3 lines of symmetry.


    thanks any help would be great
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  2. #2
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    Quote Originally Posted by gracey View Post
    I am stuck with a question.

    I need a shape with a rotational symmetry order of 1 and 3 lines of symmetry.


    thanks any help would be great
    Well, 3 lines of symmetry would seem to suggest a triangular shape, but according to Symmetry - Rotation:

    Is there Rotational Symmetry of Order 1 ?

    Not really! If a shape only matches itself once as you go around (ie it matches itself after one full rotation) there is really no symmetry at all, because the word "Symmetry" comes from syn- together and metron measure, and there can't be "together" if there is just one thing.)

    Try giving that as a response to your teacher/professor.
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