4

Part of 1994 Poland - Second Round

Problems(1)

sum of products of 4 numbers at vertices of a cube, with 1 or -1 assigned

Source: Polish second round 1994 p4

Each vertex of a cube is assigned

1

-1

. Each face is assigned the product of the four numbers at its vertices. Determine all possible values that can be obtained as the sum of all the

14

assigned numbers.

cubecombinatoricscombinatorial geometry