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On a sphere, thecutlocusis a point.
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Thecutlocusof the exponential map is, roughly speaking, the set of all points where the exponential map fails to have a unique minimum.
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The least distance from "p" to thecutlocusis the injectivity radius at "p".
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In mathematics the closure of the medial axis is known as thecutlocus.
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Thecutlocusis shown in red.
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