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rotate a cube around diagonal 60^o, volume of intersection wanted

Source: 1993 ITAMO p6

January 31, 2020

rotationgeometry3D geometryVolumecube

Problem Statement

A unit cube

C

is rotated around one of its diagonals for the angle

\pi /3

to form a cube

C'

. Find the volume of the intersection of

C

and

C'