Dear all:(adsbygoogle = window.adsbygoogle || []).push({});

The question is like this:

Given a point in a shape like square or triangle. Let's take square as the simplest one. Say the length of the side of the square is [tex]l[/tex]. If add a noise to the point which will move the point [tex]r[\tex] distance and the direction is arbitrary, what will be the possibility that the point will move out of the square?

And what will be the possibility if the point is in a triangle? Also what about a cube or tetrahedron?

Does anyone have any idea to solve the problem please?

Ideally if there is a equation to model the problem.

Thanks

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# Possibility of a point moving out of a shape

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