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The intersection of two or more solids can either be an empty set, a point (two cones "intersecting" apex-to-apex), a line (two cubes touching along one edge), a face (two cubes, face-to-face).

If the solids are "filled", the overlapping intersection will be another solid. If they are hollow, it will be a closed three dimensional figure.

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What are the methods of determining the line of intersection between surface of two interpenetrating solids?

To determine the line of intersection between the surfaces of two interpenetrating solids, one can use geometric and algebraic methods. Geometric methods involve visualizing the solids and identifying common points or curves where they intersect. Algebraic methods often involve setting the equations of the surfaces equal to each other and solving for the parameters that define the intersection curve. Additionally, computational techniques such as numerical simulations or software tools can also be employed to analyze complex intersections accurately.


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