Question

Consider a regular tetrahedron with equal masses m on its corners. The corners are at p1...

Consider a regular tetrahedron with equal masses m on its corners. The corners are at

p1 = (1,1,1),

p2 = (1,-1,-1),

p3 = (-1,1,-1),

p4 = (-1,-1,1).

So the points are on a cube. Find a reflection R, under which this distribution is invariant.

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