Proof
  • August 17th
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    ichrider: davidcustiskimball: fuckyeahmath: Book Stacking ProblemHow far can a stack of n books protrude over the edge of a table without the stack falling over? It turns out that the maximum overhang possible dn for n books (in terms of book lengths) is half the nth partial sum of the harmonic series. Real Estate, Design, Environment Notice that as the ‘arch’ widens, a steeper beginning curve is produced, characteristic of the parabolic arch. Lovely. ichrider: davidcustiskimball: fuckyeahmath: Book Stacking ProblemHow far can a stack of n books protrude over the edge of a table without the stack falling over? It turns out that the maximum overhang possible dn for n books (in terms of book lengths) is half the nth partial sum of the harmonic series. Real Estate, Design, Environment Notice that as the ‘arch’ widens, a steeper beginning curve is produced, characteristic of the parabolic arch. Lovely.

    ichrider:

    davidcustiskimball:

    fuckyeahmath:

    Book Stacking Problem
    How far can a stack of n books protrude over the edge of a table without the stack falling over? It turns out that the maximum overhang possible dn for n books (in terms of book lengths) is half the nth partial sum of the harmonic series.

    Real Estate, Design, Environment

    Notice that as the ‘arch’ widens, a steeper beginning curve is produced, characteristic of the parabolic arch. Lovely.

    1. syazwimazli reblogged this from fuckyeahmath and added:
      that is true. interesting.
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      Book Stacking Problem How far can a stack of n books protrude over the edge of a table without the stack falling over?...
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      I might try this
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