The lost in a forest problem is the problem of finding the strategy to guarantee reaching the boundary of a given region ("forest") in the shortest distance (i.e., a strategy having the best worst-case performance). For example, one simple strategy would consist of walking in a straight line in a random direction until encountering a boundary. Although this straightforward approach is indeed the best for some simple geometries, other approaches (e.g., walking in a spiral, alternating left and right turns after traveling some fixed distance, etc.) might be optimal for forests with more complicated boundaries.
Lost in a Forest Problem
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Weisstein, Eric W. "Lost in a Forest Problem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/LostinaForestProblem.html