10.4

Part of 1997 All-Russian Olympiad Regional Round

Problems(1)

16 1x3 to cover 3 sides of cube - All-Russian MO 1997 Regional (R4) 10.4

Source:

Given a cube with a side of

4

. Is it possible to completely cover

3

of its faces, which have a common vertex, with sixteen rectangular paper strips measuring

1 \times3

combinatoricscombinatorial geometrygeometry3D geometry