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Radial Metric

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The radial metric is defined on as if and lie on the same line through the origin, and otherwise. It looks like a centralized train network, and has been called the French railroad metric.

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A neighborhood of a point of radius , , is either a line segment through on the ray from the origin through or the union of a segment from the origin through and a disk centered at the origin.

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Contributed by: Jon Perry (March 2011)
Open content licensed under CC BY-NC-SA

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