MathDB
Maximum of minimum angle θ in regular tetradhedron

Source: Japanese MO Finals 1996

February 11, 2011
geometry3D geometrytetrahedronrotationgeometry unsolved

Problem Statement

Let θ\theta be the maximum of the six angles between six edges of a regular tetrahedron in space and a fixed plane. When the tetrahedron is rotated in space, find the maximum of θ\theta.
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