Ugly maths and beautiful maths.

Discussion in 'General Math' started by Frederick Williams, May 22, 2008.

  1. Someone[1] described this

    1/pi = (sqrt(8)/9801) sum_0^infty ((4n)!/(n!)^4)(1103 +
    26390n)/386^{4n}

    as an "aesthetic result" by which I assume they mean aesthetically
    pleasing. To me it looks quite ugly: 9801, 1103, 26390 and 396 all have
    a horribly random look about them.

    [1] Page 9 of
    https://www.maa.org/ecomtpro/Timssnet/products/DOL31-SampleText.pdf.
     
    Frederick Williams, May 22, 2008
    #1
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  2. Frederick Williams

    johnjo Guest

    This is one down to Ramanujan
    cf <http://www.cecm.sfu.ca/organics/papers/borwein/paper/html/
    node3.html#SECTION00010010000000000000>

    Who is a hero.
    But some of his results are more striking (as my mother would have
    said) than good looking.

    9801 and 1103 may have been subsequent Hardy taxi numbers.... :)

    HTH
    JJ
     
    johnjo, May 22, 2008
    #2
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