nth dimemsion sequence

[y.kohmoto]

    Joshua Zucker wrote :

    >I think that to be stable in n dimensions, you need n legs, since n
legs
    >determine the n-1 dimensional surface that you're being stable on.

    >Thus, to be metastable like a person, I think F(n) is the correct
    >number of legs.

    Thanks for your answer.
    I think you are right.
    But another  possibility exists.
         G(n)=1/2*{Number of animal's legs}
              =1/2*{Number of nodes of square on the n-1 dimensional
surface}
             =1/2*2^(n-1)

             =2^(n-2)
    For example, G(4)=4, four points on the plane is also metastable.
    If they are not on a plane, they are stable.

    Yasutoshi