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Which Countries Are Most Like Stars? (Math Chat)

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Author:Frank Morgan, MAA Online
Description: Which countries in the world have a point such that the shortest line from every other point in the country stays inside the country? (ignore mountains and valleys). Mathematicians call such countries starlike. Are there any countries such that the shortest line between any two points stays in the country? Mathematicians call such countries convex. Answer: Most countries have very irregular sections of boundary, including rivers or coastlines, which prevent them from being starlike or convex...

Levels: Middle School (6-8), High School (9-12)
Languages: English
Resource Types: Problems/Puzzles, Articles
Math Topics: Euclidean Plane Geometry

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