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单词 Steiner's Segment Problem
释义

Steiner's Segment Problem

Given points, find the line segments with the shortest possible total length which connect the points. The segmentsneed not necessarily be straight from one point to another.


For three points, if all Angles are less than 120°, then the line segments are those connecting thethree points to a central point which makes the Angles , , and all120°. If one Angle is greater that 120°, then coincides with the offending Angle.


For four points, is the intersection of the two diagonals, but the required minimum segments are not necessarily thesediagonals.


A modified version of the problem is, given two points, to find the segments with the shortest total length connecting thepoints such that each branch point may be connected to only three segments. There is no general solution to this version ofthe problem.

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更新时间:2025/5/23 10:41:41