can we determine the vertex of the boundary with out knowing its nature with a given point inside the boundary

Question

suppose a space of unknown boundary line and unknown structure (or shape). is it possible to determine the vertex of the boundary of that space provided a position of a point inside that space?

Answer 1

No. Even if we knew the space was, say, an equilateral triangle, and that the given point was the orthocenter of said triangle, we still could tell nothing about the vertex. Just consider any such triangle, and then rotate it by 60°. You get a triangle which also contains the point at its orthocenter, but with the vertces at completely different positions. You could also scale the triangle by any constant, and that would also satisfy the (much stronger) conditions given here. Knowing that a given point lies inside the boundary of a region tells you absolutely nothing about the region itself.

Answer 2

Vertex of what?

Boundary between what and what?

What point?


Please include enough details if you would like answers to your questions.

Answer 3

whats a vertex?

and what boundary is that

i didnt know u were so intelegent

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