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Math Help - rotational symmetry

  1. #1
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    rotational symmetry

    The diagram below has rotational symmetry. How many regular pentagons are there?.

    Please help to get the solution. Please find Attached
    Attached Thumbnails Attached Thumbnails rotational symmetry-rotational-symmetry.bmp  
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  2. #2
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    I see at least 7. 1 Outer pentagon. 1 inner central pentagon. 5 small pentagons forming the central pentagon. There may be more, but I doubt it.
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  3. #3
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    5 small pentagons forming the central pentagon.
    I don't see those. The central pentagon is formed with quadrilaterals, isn't it? If the question is about rotational symmetry, then perhaps we're supposed to get five pentagons from each of the inner and outer ones by rotations through 360/5 degrees? I don't know, I'm just askin'. If this is true, you'd have 10 pentagons, right? I'm assuming we're not allowed reflections.
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  4. #4
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    Oops, you are right. I was blind.
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