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Math Help - An terror curves

  1. #1
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    Unhappy An terror curves

    look at this curve:defined by this : x^4+y^4=1

    how can we calculate the number of its vertexs , and length of its arc , the area that its surround.


    and how can we paramelize it.

    thanks very much

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  2. #2
    Lord of certain Rings
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    Quote Originally Posted by Xingyuan View Post
    look at this curve:defined by this : x^4+y^4=1

    how can we calculate the number of its vertexs , and length of its arc , the area that its surround.And how can we paramelize it.
    thanks very much


    You can parametrize it by x = \sqrt{\sin t} and y = \sqrt{\cos t}
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  3. #3
    Grand Panjandrum
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    Quote Originally Posted by Xingyuan View Post
    look at this curve:defined by this : x^4+y^4=1

    how can we calculate the number of its vertexs , and length of its arc , the area that its surround.


    and how can we paramelize it.

    thanks very much

    It is an example of a super ellipse, see here

    RonL
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