MathDB

4

Part of 1996 Japan MO Finals

Problems(1)

Maximum of minimum angle θ in regular tetradhedron

Source: Japanese MO Finals 1996

2/11/2011
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.
geometry3D geometrytetrahedronrotationgeometry unsolved