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each-vertex-of-a-cube-is-to-be-labeled-with-an-integer-1-through-8-with-each-integer-being-used-once-in-such-a-way-that-the-sum-of-the-four-numbers-on-the-vertices-of-a-face-is-the-same-for-each-fa




Question Number 90122 by M±th+et£s last updated on 21/Apr/20
each vertex of a cube is to be labeled  with an integer 1 through 8 , with  each integer being used once,in such  a way that the sum of the four numbers  on the vertices of a face is the same   for each face.Arrangements that can  be obtained from each other through  rotations of the cube are considered  to be the same.   Find all the arrangements
eachvertexofacubeistobelabeledwithaninteger1through8,witheachintegerbeingusedonce,insuchawaythatthesumofthefournumbersontheverticesofafaceisthesameforeachface.Arrangementsthatcanbeobtainedfromeachotherthroughrotationsofthecubeareconsideredtobethesame.Findallthearrangements
Commented by M±th+et£s last updated on 21/Apr/20

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