MathDB
MMO 038 Moscow MO 1938 equidistant planes from 4 points

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July 18, 2019
equidistantplanes3D geometrycombinatorial geometrygeometry

Problem Statement

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.