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Longest Straight Line Paths on Water or Land on the Earth

2018/04/09 by Rohan Chabukswar, Kushal Mukherjee, Chabukswar, Rohan +1 · 6 voices · 1 citation
Social Sciences · #Historical Geography and Cartography #math.HO

paper · pdf · doi:10.48550/arxiv.1804.07389

openalex publication_date 2018/04/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

There has been some interest recently in determining the longest distance one can sail for on the earth without hitting land, as well as in the converse problem of determining the longest distance one could drive for on the earth without encountering a major body of water. In its basic form, this is an optimisation problem, rendered chaotic by the presence of islands and lakes, and indeed the fractal nature of the coasts. In this paper we present a methodology for calculating the two paths using the branch-and-bound algorithm.

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