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Dan_Moore comments on Open Thread: March 4 - 10 - Less Wrong
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Here is another puzzle.
Can you take ten points, forming the vertices of five convex quadrilaterals in three dimensions, such that every quadrilateral intersects each of the other four at a vertex? Solution
I got it. Nice.
The problem is confusing.
Are you saying that each pair of quadrilaterals intersect at a mutual vertex and nowhere else, and that each vertex is common to exactly two quadrilaterals?
Yes, exactly.