joriki
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Registered User
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Apr 20 |
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Optimal 8-vertex isoperimetric polyhedron? I proved your assertion about the 5-vertex case in this math.SE post: math.stackexchange.com/questions/367287. |
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Mar 9 |
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If you break a stick at two points chosen uniformly, the probability the three resulting sticks form a triangle is 1/4. Is there a “nice” proof of this fact? @Qiaochu: The distances correspond to the barycentric coordinates of the point. More generally, choosing a point uniformly in a $k$-simplex corresponds to independently uniformly choosing $k$ points in the unit interval and using the resulting $k+1$ interval lengths as barycentric coordinates. |
