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Hedgehog Metric


A metric on a bunch of segments with a common endpoint O, which defines the distance between two points P_1 and P_2 as the length of the shortest path connecting them inside this geometric configuration. If P_1 and P_2 lie on the same segment, this is the length of segment P_1P_2. Otherwise, it is the sum of the lengths of segment P_1O and segment OP_2.


See also

Hedgehog, Metric

This entry contributed by Margherita Barile

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References

Willard, S. General Topology. Reading, MA: Addison-Wesley, p. 16, 1970.

Referenced on Wolfram|Alpha

Hedgehog Metric

Cite this as:

Barile, Margherita. "Hedgehog Metric." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/HedgehogMetric.html

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