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Omni-MATH / Two vertices of a cube are given in space. The locus of points that could be a…

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problem

Two vertices of a cube are given in space. The locus of points that could be a third vertex of the cube is the union of nn circles. Find nn.
Plain-text mathematical notation (without MathML)
Two vertices of a cube are given in space. The locus of points that could be a third vertex of the cube is the union of n circles. Find n.
Original LaTeX notation
Two vertices of a cube are given in space. The locus of points that could be a third vertex of the cube is the union of $n$ circles. Find $n$.

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