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In Convex Optimization by Boyd (P.51) said that " $y\in K^*$ iff $-y$ is the normal of hyperplane that supports $k$ at the origin ($K^*$ is a dual cone of $K$) " what does it mean geometrically? I mean could someone please show me a figure that shows a dual cone of a cone

eHH
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Wikipedia has some nice images:

http://en.wikipedia.org/wiki/Dual_cone_and_polar_cone

Does this help?

daw
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