Baserunner’s Optimal Path

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References

  1. [F]

    Laurene V. Fausett, Applied Numerical Analysis using MATLAB, 2nd ed, Prentice-Hall, 2008.

  2. [G]

    Guiness World Records, http://www.baseball-almanac.com/recbooks/rb_guin.shtml.

  3. [M]

    Frank Morgan, Real Analysis and Applications, Amer. Math. Soc., 2008.

  4. [N]

    Johannes C. C. Nitsche, Lectures on Minimal Surfaces, Cambridge Univ. Press, New York, 1989.

    Google Scholar 

  5. [S]

    http://speedendurance.com/2009/08/19/usain-bolt-10-meter-splits-fastest-top-speed-2008-vs-2009/

  6. [TF]

    Dao Trong Thi and A.T. Fomenko, Minimal Surfaces, Stratified Multivarifolds, and the Plateau Problem, American Mathematical Society, 1991.

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Acknowledgments

This work stemmed from a Williams College undergraduate colloquium talk by Carozza advised by Morgan. Johnson, who was in the audience, discovered the remarkably simple critical condition and computed the fastest path of Figure 1. Morgan acknowledges NSF support.

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Correspondence to Frank Morgan.

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Carozza, D., Johnson, S. & Morgan, F. Baserunner’s Optimal Path. Math Intelligencer 32, 10–15 (2010). https://doi.org/10.1007/s00283-009-9106-2

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Keywords

  • Minimal Surface
  • Velocity Space
  • Critical Path
  • Mathematical Intelligencer
  • Maximum Acceleration