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5

Part of 1995 Grosman Memorial Mathematical Olympiad

Problems(1)

equalizing planes in space

Source: Israel Grosman Memorial Mathematical Olympiad 1995 p5

2/15/2020
For non-coplanar points are given in space. A plane π\pi is called equalizing if all four points have the same distance from π\pi. Find the number of equilizing planes.
combinatoricscombinatorial geometryplanes