Mathematical Physics

    

Optimal Vantage Points for Crowds

Authors: Eryk Kersting, Nicholas Kersting

For a typically 2D distributed crowd of viewers all trying to get a line-of-sight (LOS) to the same object, the close-packed distribution favors only the few closest viewers who inadvertently occlude the line-of-sight (LOS) for the rest of the group stuck behind them. In this paper we study optimal arrangements of the viewers which guarantee everyone gets a LOS. We discuss analytical solutions and numerical simulations for N viewers of both the point-like as well as the extended line-like central object, suggesting applications ranging from focusing power sources to waiting at the airport baggage claim.

Comments: 16 Pages. Added figures and some commentary

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Submission history

[v1] 2021-04-25 21:58:44
[v2] 2021-05-02 14:10:01

Unique-IP document downloads: 218 times

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