2born (2born) wrote,

Любителям пешего туризма: фрактальная размерность хайка

The fractal dimension of the Appalachian Trail: https://arxiv.org/abs/2011.03332
Brian Skinner
The Appalachian Trail (AT) is a 2193-mile-long hiking trail in the eastern United States. The trail has many bends and turns at different length scales, which gives it a nontrivial fractal dimension. Here I use GPS data from the Appalachian Trail Conservancy to estimate the fractal dimension of the AT. I find that, at length scales between ∼20 m and ∼100 km, the trail has a well-defined "divider dimension" of ≈1.08. This dimension can be used to estimate the true hiking distance between two points, given the distance as estimated from a map with finite spatial resolution (e.g., Google Maps).
Comments: 2 pages, 2 figures
Tags: Мегаучебник или Что я читал и похвалил, популяризация, путешествия, разгребая arXiv'ы, юмор

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