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MathNet 2006 — Part 04 Question 84

Math Olympiad Vault · MathNet 2006 — Part 04

Question 84

If we have a set of points in space, we may mirror a point of the set in another point of the set and add its image to the set.
If we start with a set consisting of seven of the eight vertices of a cube, can we get the eighth vertex in the set after a finite number of steps?