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If we contract a (n-1)d hyperplane with a n-simplex, then what is maximum number of intersection points with the egdes of the simplex and the hyperplane ?

For, if we draw a line within a 2-simplex (there are 3 edges), it will have a intersection of maximum two edges. For 3-simplex, any plane within the tetrahedron (where there are 6 egdes) can have maximum intersection with 4 edges. What is the value for n-simplex ?

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# Intersection between hyperplane within a simplex

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