Wolfram Demonstrations Project

The radial metric

is defined on

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.

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.

Contributed by: Jon Perry

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Radial Metric