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Problem of the Week 909

Planes in Space

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Given 4 points in 3-space, not all on the same plane, how many planes P are there such that the distance from P to each of the four points is the same?

Source: (Korean Olympiad) Crux. Math. Feb. 2000
© Copyright 2000 Stan Wagon. Reproduced with permission.

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28 March 2000