MathDB

038

Part of 1938 Moscow Mathematical Olympiad

Problems(1)

MMO 038 Moscow MO 1938 equidistant planes from 4 points

Source:

7/18/2019
In space 44 points are given. How many planes equidistant from these points are there? Consider separately (a) the generic case (the points given do not lie on a single plane) and (b) the degenerate cases.
equidistantplanes3D geometrycombinatorial geometrygeometry